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Article

Estimation of Natural Frequencies and Mode Shapes of a Shaft Supported by more than Three Bearings

1M.Tech Student, P.C.E. Nagpur, MH, India

2Assoc. Professor, P.C.E. Nagpur, MH, India

3Emeritus Professor, P.C.E. Nagpur, Pincode 440019, MH, India


Journal of Mechanical Design and Vibration. 2014, 2(1), 11-24
DOI: 10.12691/jmdv-2-1-2
Copyright © 2014 Science and Education Publishing

Cite this paper:
Atul B. Meshram, Girish D. Mehta, Jayant P. Modak. Estimation of Natural Frequencies and Mode Shapes of a Shaft Supported by more than Three Bearings. Journal of Mechanical Design and Vibration. 2014; 2(1):11-24. doi: 10.12691/jmdv-2-1-2.

Correspondence to: Atul  B. Meshram, M.Tech Student, P.C.E. Nagpur, MH, India. Email: atulmeshram86@gmail.com

Abstract

The present paper emphasizes on the estimation of natural frequencies and mode shapes of a shaft supported by more than three bearings. In advent of this, a counter shaft of already developed experimental setup has been considered. The natural frequencies and mode shapes of counter shaft are deteremined analytically by adopting Holzer's method and the results obtained are then compared with the results of software based approach. By adopting the same method, Stresses in the shaft and amplitudes of rotors are also estimated. Based on the obtained data the generallised mathematical models have been formulated for the prediction of stresses in shaft and amplitudes of rotors. Significant independent variables which influence the phenomenon i.e. development of stresses and amplitudes of rotor have been accounted in terms of a group of pie terms. These group of pi terms are accoplished with the help of dimensional analysis technique and they are used to formulate the mathematical models. In this paper the qualitative and quantitative analyses of the established mathematical models are also carried out.

Keywords

References

[1]  Freberg C.R. and Kember E.N. "Elements of Mechanical Vibration" 2nd Edition, Jhon Wiley & Sons, Chapman & Hall Ltd, Newyork,, 1949.
 
[2]  Goldman Steve, "Vibration spectrum analysis- A practical approach" 2nd Edition, Industrial Press, Inc. 1999.
 
[3]  Grover G.K. and Nigam S.P. "Mechanical Vibration" 7th Edition, New cahnd & Bros. Roorkee, India, 2003.
 
[4]  Hartog Den J.P. "Mechanical Vibrations" 3rd Edition, Mcgraw Hill, Newyork, 1947.
 
[5]  Jr. Schenck H., "Theories of Engineering Experimentation" 1st Edition, McgrawHill, Inc. 1967.
 
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[6]  Masayukti Kita & Takeshi Hataya, “Study Of A Rotor Dynamic Analysis Method That Considers Torsional And Lateral Coupled Vibrations In Compressor Trains With Gearbox” 36nd Turbomachinary Symposium 2007, ASME.
 
[7]  Mehta G.D. & Modak J.P. “An Approach To Estimate Vibration Response At All Bearings Of Countershaft Due To All Machine Components On It” 13th World Congress in Mechanism and machine science, Mexica, 19-25 June 2011.
 
[8]  Mitchell John, "Introduction To Machinary Analyssi And Monitoring" 2nd Edition, Pennwell Books Publication, Tulsa, Oklahoma, 1993.
 
[9]  Rao J.S., ” Rotor Dynamics” 3rd edition, Wiley Eastern ltd., 1983
 
[10]  http://en.wikipedia.org/wiki/Rotordynamics, Accessed on 20 Jan 2013
 
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Article

Active Vibration Control in Engine Rotors using Electromagnetic Actuator System

1Department of Mechanical Engineering, Gitam Institute of Technology, Gitam University, Visakhapatnam, India

2Department of Mechanical Engineering, National Institute of Technology Rourkela, Rourkela, Orissa, India


Journal of Mechanical Design and Vibration. 2014, 2(1), 25-30
DOI: 10.12691/jmdv-2-1-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
M. Rajasekhar, Dr. J. Srinivas. Active Vibration Control in Engine Rotors using Electromagnetic Actuator System. Journal of Mechanical Design and Vibration. 2014; 2(1):25-30. doi: 10.12691/jmdv-2-1-3.

Correspondence to: M.  Rajasekhar, Department of Mechanical Engineering, Gitam Institute of Technology, Gitam University, Visakhapatnam, India. Email: mr_sekhar21@yahoo.co.in

Abstract

This paper presents active amplitude control methodology of a turbocharger rotor using the electromagnetic actuator design. Vibrations in such high-speed engine rotors are inevitable especially while crossing the critical operating speeds. From durability considerations, the rolling element and journal bearings are now-a-days replaced by compliant gas bearings. In present work, the rotor is discretized as a finite element model comprising three Timoshenko beam elements with consideration of gyroscopic effects. Unbalance and gravity are considered as the external forces. Dynamics response of the rotor is obtained by solving resultant dynamic equations using implicit time-integration scheme. An in-house program developed first computes critical operating states and with the help of existing theory of electromagnetic actuators, the vibration amplitudes of system are minimized by providing calculated additional external forces. Control led vibration amplitudes at a disk node is illustrated.

Keywords

References

[1]  Iordanoff,I., Said,B.B., Mezianne.A. and Berthier, Y, “Effect of internal friction in the dynamic behaviour of aerodynamic foil bearings”, Tribology International, 41 (5). 387-395.
 
[2]  Crosby, W.A., “The incompressible lubrication of a ridged foil Bearing”, Wear, 113 (2). 247-266.
 
[3]  Reddy, D.S.K., Swarnamani, S. and Prabhu, B.S, “Analysis of aerodynamic multi leaf foil journal bearings”, Wear, 209 (1-2). 115-122.
 
[4]  Andres, L.S, and Kim, T.H, “Forced nonlinear response of gas foil bearing supported rotors” Tribology International, 41(8). 704–715.
 
[5]  Kim, D. and Park, S, “Hydrostatic air foil bearings: Analytical and experimental investigation” Tribology International, 42(3). 413–425.
 
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[6]  Zhou, Q, Hou, Y. and Chen, C, “Dynamic stability experiments of compliant foil thrust bearing with viscoelastic support”, Tribology International, 42(5). 662-665.
 
[7]  Yu, H., Shuangtao, C., Rugang, C., Qiaoyu, Z. and Hongli, Z. “Numerical study on foil journal bearings with protuberant foil structure” Tribology International, 44(9). 1061-1070.
 
[8]  Song, J. and Kim, D., “Foil gas bearing with compression springs: Analyses and experiments” Transactions of the ASME, Tribology, 129 (3). 628-639.
 
[9]  Dykas, B. and Howard, S.A, “Journal Design Considerations for Turbo-machine Shafts Supported on Foil Air Bearings”, Tribology Transactions, 47 (4). 508-516.
 
[10]  Bhore., S.P. and Darpe, A.K, “Investigations on characteristics of micro/meso scale gas foil journal bearings for 100–200 W class micro power systems using first order slip velocity boundary conditions and the effective viscosity model”, Microsyst Technol, 19 (4). 509-523.
 
[11]  Bhore., S.P. and Darpe, A.K, “Nonlinear dynamics of flexible rotor supported on the gas foil journal bearings” Journal of Sound and Vibration, 332 (20). 5135-5150.
 
[12]  Tonoli, A., Amati, N., Bonfitto, A., Silvagni, M., Staples, B. and Karpenko, E., “Design of Electromagnetic Dampers for Aero-Engine Applications” Journal of Engineering for Gas Turbines and Power, Trans.ASME, 132 (11). 112501-1-11.
 
[13]  Fan, C.C. and Pan, M.C, “Active elimination of oil and dry whips in a rotating machine with an electromagnetic actuator” International Journal of Mechanical Sciences, 53(2). 126-134.
 
[14]  Yu, Z., Meng, L.T. and King, L.M. “Electromagnetic bearing actuator for active vibration control of a rotor” Proceedings of the IMechE, Part C: Journal of Mechanical Engineering Science, 212 (1). 705-716.
 
[15]  Sugai, T., Inoue T. and Ishida, Y. “Nonlinear theoretical analysis of contacting forward whirling vibration of a rotating shaft supported by a repulsive magnetic bearing” Journal of Sound and Vibration, 332 (11). 2735-2749.
 
[16]  Fan, C.C. and Pan, M.C. “Fluid-induced instability elimination of rotor-bearing system with an electromagnetic exciter” International Journal of Mechanical Sciences, 52(4). 581-589.
 
[17]  Tain, L., Wang, W.J. and Peng, Z.J. “Effect of bearing outer clearance on the dynamic behaviours of the full floating ring bearing supported turbocharger rotor” Mechanical Systems and Signal Processing, 31 (1). 155-175.
 
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Article

Evaluation of Dam Break Flow of Thixotropic Fluids by Smoothed Particle Hydrodynamics

1Department of Petroleum Engineering, Faculty of Petroleum and Renewable Energy Engineering, UniversitiTeknologi Malaysia, Malaysia


Journal of Mechanical Design and Vibration. 2014, 2(1), 31-34
DOI: 10.12691/jmdv-2-1-4
Copyright © 2014 Science and Education Publishing

Cite this paper:
Reza Cheraghi Kootiani. Evaluation of Dam Break Flow of Thixotropic Fluids by Smoothed Particle Hydrodynamics. Journal of Mechanical Design and Vibration. 2014; 2(1):31-34. doi: 10.12691/jmdv-2-1-4.

Correspondence to: Reza  Cheraghi Kootiani, Department of Petroleum Engineering, Faculty of Petroleum and Renewable Energy Engineering, UniversitiTeknologi Malaysia, Malaysia. Email: rchi1986@gmail.com

Abstract

Dam-break flows can be described as the flow caused by the sudden release of a contained portion of fluid. Many environmental flows can be modeled as dam-break flows. In this study, the unsteady 2D dam break problem is solved by weakly compressible SPH with water as a Newtonian fluid and a thixotropic gel as a non-Newtonian fluid. In this method, the flow domain is replaced by several representative particles and the mass and momentum conservation equations are solved in a Lagrangian frame work for each representative particle. First, the Newtonian case is verified with previous numerical and experimental published results. Then the thixotropic gel is modeled by Moore rheological model and several simulations are performed to investigate the effects of the model constants. Furthermore, the differences of Newtonian and thixotropic fluid flow including free surface shape and leading edge position are mentioned.

Keywords

References

[1]  Cochard, C., and Ancey, C., “Experimental of the spreading of viscoplastic fluids on inclined planes”. Journal of Non-Newtonian Fluid mechanics, 158, pp. 73-84. 2009.
 
[2]  Martin, J.C., and Moyce, W. J., “An experimental study of the collapse of liquid columns on a rigid horizontal plane”. Philos. Trans. Royal Society of London, 244(A), pp. 312-324.1952.
 
[3]  Piau, J.M., and Debiane, K., “Consistometersrheometry of power-law viscous fluids”. Journal of Non- Newtonian Fluid Mechanics, 127, pp. 213-224. 2005.
 
[4]  Shao, S., and Lo, E.Y.M., “Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface”. Advances in Water Resources, 26, pp. 787-800. 2003.
 
[5]  Lio, G.R., and Lio. M.B., Smoothed Particle Hydrodynamics: a meshfree particle method. World Scientific publishing, Singapore. 2003.
 
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[6]  Roubtsova, V., and Kahawita, R., “The SPH technique applied to free surface flows”, Computers & Fluids, 35, pp. 1359-1371. 2006.
 
[7]  Dalrymple, R.A., and Rogers, B.D., “Numerical modeling of water waves with the SPH method”. Coastal Eng., 53, pp. 141-147. 2006.
 
[8]  Hosseini, S.M., Manzari, M.T., and Hannani, S.K., “A fully explicit three-step SPH algorithm for simulation of non-Newtonian fluid flow”. International Journal of Numerical Methods for Heat & Fluid Flow, 17(7), pp. 715-735. 2007.
 
[9]  Molteni, D., and Colagrossi, A., “A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH”. Computer Physics Communications, 180, pp. 861-872. 2009.
 
[10]  Chanson, H., Jarny, S., and Coussot, P., “Dam break wave of thixotropic fluid”. Journal of Hydraulic Engineering, 280, pp. 280-293. 2006.
 
[11]  Ahmadpour, A., Amini-Kafiabad, H., Samadi, J., and Sadeghy, K., “The rise of second harmonics in forced oscillation of gas bubbles in thixotropic fluids”. J. Soc. Rheology: Japan, 39, pp. 113-117. 2011.
 
[12]  Monaghan, J.J., “Simulating free surface flows with SPH”. Journal of Computational Physics, 110, pp. 399-406. 1994.
 
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Article

Influence of Secondary Factors of Spindle Geometry on the Dynamic Stability in End-milling Operation

1Department of Mechanical Engineering, National Institute of Technology, Rourkela, India


Journal of Mechanical Design and Vibration. 2014, 2(2), 35-46
DOI: 10.12691/jmdv-2-2-1
Copyright © 2014 Science and Education Publishing

Cite this paper:
Jakeer Hussain Shaik, J. Srinivas. Influence of Secondary Factors of Spindle Geometry on the Dynamic Stability in End-milling Operation. Journal of Mechanical Design and Vibration. 2014; 2(2):35-46. doi: 10.12691/jmdv-2-2-1.

Correspondence to: Jakeer  Hussain Shaik, Department of Mechanical Engineering, National Institute of Technology, Rourkela, India. Email: jakeershaik786@yahoo.co.in

Abstract

Chatter is a issue of uncertainty in the metal reducing procedure. The trend is characterized by aggressive oscillations, noisy sound and low quality of surface finish. Chatter causes a reduction of the life of the device and affects the efficiency by disrupting the regular functioning of the machining procedure. This paper presents a coupled model of high-speed end-mill spindle system by considering the dynamics of angular contact ball bearings and cutting forces. Initially, the spindle device is examined by considering the gyroscopic and centrifugal terms using Timoshenko beam theory. Hertz bearing contact forces considered at front and rear side ends of the spindle. Frequency response functions at the tool-tip are obtained from the dynamic spindle model. In the second phase, solid model of the system is developed and its dynamic response is obtained from three dimensional finite element analysis. After, verification of the outcomes with beam theory concept, the stability lobes are plotted from the tool-tip frequency response (FRF). Later parametric analysis are conducted for different tool-overhang measures, bearing span values and helix angle of the cutting tool conditions to effectively plot the stability lobes for the spindle system.

Keywords

References

[1]  Altintas, Y. and Budak, E, “Analytical prediction of stability lobes in milling,” Annals of the CIRP, 44. 357-362. 1995.
 
[2]  Schmitz, T.L., Davies, M.A., Medicus, K. and Snyder, J, “Improving high-speed machining material removal rates by rapid dynamic analysis,” Annals of the CIRP, 50. 263-268. 2001.
 
[3]  Schmitz, T.L., Ziegert, J.C., Stanislaus, C., “A method for predicting chatter stability for systems with speed-dependent spindle dynamics,” Trans. North Amer. Manuf. Res. Institution of SME, 32. 17-24. 2004.
 
[4]  Schimtz, T.L. and Duncan, G.S, “Three-component receptance coupling substructure analysis for tool point dynamics prediction,” J Manuf Sci Eng, 127. 781-791. 2005.
 
[5]  Cheng, C.H., Schmitz, T.L. and Duncan, G.S, “Rotating tool point frequency response prediction using RCSA,” Machining Science and Technology, 11. 433-446. 2007.
 
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[6]  Jun, Z., Tony, S., Wanhua, Z. and Bingheng, L.U, “Receptance coupling for tool point dynamics prediction on machine tools,” Chinese J. Mech. Engg, 24. 1-6. 2011.
 
[7]  Kumar, U.V. and Schmitz, T.L, “Spindle dynamics identification for Receptance Coupling Substructure Analysis,” Precision Engineering, 36. 435-443. 2012.
 
[8]  Erturk, A., Budak, E. and Ozguven. H.N, “Selection of design and operational parameters in spindle-holder-tool assemblies for maximum chatter stability by using a new analytical model,” Int. J. Machine Tools & Manf, 47.1401-1409. 2007.
 
[9]  Faassen, R.P.H., Wouw, N.V., Oosterling, J.A.J. and Ijmeijer. H.N, “Prediction of regenerative chatter by modelling and analysis of high-speed milling,” Int. J. Machine Tools & Manf, 43. 1437-1446. 2003.
 
[10]  Abele, E. and Fiedler, U, “Creating stability lobe diagrams during milling,” Annals of the CIRP, 53. 309-312. 2004.
 
[11]  Zaghbani, I. and Songmene, V, “Estimation of machine-tool dynamic parameters during machining operation through operational modal analysis,” Int. J. Machine Tools & Manf, 49. 947-957. 2009.
 
[12]  Chen, C.H. and Wang. K.W, “An integrated approach toward the dynamic analysis of high-speed spindles:Part-2. Dynamics under moving end load,” J. Vibration and Acous. Trans. ASME, 116. 514-522. 1994.
 
[13]  Tian, J.F. and Hutton. S.G, “Chatter instability in milling systems with flexible rotating spindles-a new theoretical approach,” J.Manuf. Sci. and Engg. Trans. ASME, 123. 1-9. 2001.
 
[14]  Xiong, G.L., Yi, J.M., Zeng, C., Guo, H.K. and Li, L.X, “Study of the gyroscopic effect of the spindle on the stability characteristics of the milling system,” Journal of Materials Processing Technology, 138. 379-384. 2003.
 
[15]  Movahhedy, M.R. and Mosaddegh, P, “Prediction of chatter in high speed milling including gyroscopic effects,” Int. J. Machine Tools & Manuf, 46. 996-1001. 2006.
 
[16]  Gagnol, V., Bougarrou, B.C., Ray, P. and Barra, C, “Stability based spindle design optimization,” J. Man. Sci. Eng. Trans. ASME, 129. 407-415. 2007.
 
[17]  Jiang, S. and Zheng, S, “A modeling approach for analysis and improvement of spindle-drawbar-bearing assembly dynamics,” Int. J.Mach. Tools & Manuf, 50. 131-142. 2010.
 
[18]  Gao, S.H., Meng, G. and Long, X.H, “Stability prediction in high-speed milling including the thermal preload effects of bearing,” J. Process Mech.Engg, Proc. IMechE, 224. 11-22. 2010.
 
[19]  Cao, H., Holkup, T. and Altintas, Y, “A comparative study on the dynamics of high speed spindles with respect to different preload mechanisms,” Int J Adv Manuf Technol, 57. 871-883. 2011.
 
[20]  Gagnol, V., Le, T.P. and Ray, P, “Modal identification of spindle-tool unit in high-speed machining,” Mech. Sys. Sig. Proc, 25. 238-239. 2011.
 
[21]  Cao, H., Li, B. and He, Z, “Chatter stability of milling with speed-varying dynamics of spindles,” Int.J.Mach.Tools and Manuf, 52. 50-58. 2012.
 
[22]  Cao, Y. and Altintas, Y, “A general method for modeling of spindle bearing system,” J. Mech. Design, Trans. ASME, 126. 1089-1104. 2004.
 
[23]  Rantatalo, M., Aidanpaa, J.O., Goransson, B. and Norman, P, “Milling machine spindle analysis using FEM and non-contact spindle excitation and response measurement,” Int. J. Machine Tools & Manuf, 47. 1034-1045. 2007.
 
[24]  Nelson, H.D, “A finite rotating shaft element using Timoshenko beam theory,” J. of machine design, 102. 793-803. 1980.
 
[25]  Liu, D., Zhang, H., Tao, Z. and Su, Y, “Finite element analysis of high-speed motorized spindle based on ANSYS,” The open Mechanical Engineering Journal, 5. 1-10. 2011.
 
[26]  Quo, Q., Sun, Y. and Jiang, Y, “On the accurate calculation of milling stability limits using third-order full-discretization method,” International Journal of Machine Tools & Manufacture, 62. 61-66. 2012.
 
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Article

Nonlinear Vibration of Embedded Annular Boron Nitride Sheets Using Differential Quadrature Method

1Department of Petroleum Engineering, Faculty of Petroleum and Renewable Energy Engineering, UniversitiTeknologi Malaysia, 81310 UTM, Johor, Malaysia


Journal of Mechanical Design and Vibration. 2014, 2(2), 47-52
DOI: 10.12691/jmdv-2-2-2
Copyright © 2014 Science and Education Publishing

Cite this paper:
Reza CheraghiKootiani. Nonlinear Vibration of Embedded Annular Boron Nitride Sheets Using Differential Quadrature Method. Journal of Mechanical Design and Vibration. 2014; 2(2):47-52. doi: 10.12691/jmdv-2-2-2.

Correspondence to: Reza  CheraghiKootiani, Department of Petroleum Engineering, Faculty of Petroleum and Renewable Energy Engineering, UniversitiTeknologi Malaysia, 81310 UTM, Johor, Malaysia. Email: rchi1986@gamil.com

Abstract

One of the most promising materials for nanotechnology is annular Boron Nitride sheets (ABNSs). In this study, however, differential quadrature method (DQM) and nonlocal piezoelasticity theory are used to investigate the nonlinear vibration response of embedded single layered annular Boron Nitride sheets (SLABNSs). The interactions between the SLABNSs and its surrounding elastic medium are simulated by nonlinear Pasternak foundation. A detailed parametric study is conducted to elucidate the influences of the nonlocal parameter, elastic medium, temperature change and maximum amplitude on the nonlinear frequency of the SLABNSs. The results are in good agreement with the previous researches.

Keywords

References

[1]  Eringen, A.C. “Nonlocal polar elastic continua”. International Journal of Engineering Science, 10, (1972) pp. 1-16.
 
[2]  Eringen, A.C. “On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves”. Journal of Applied Physics, 54, (1983) pp. 4703-10.
 
[3]  Ghorbanpour Arani, A., Atabakhshian, V., Loghman, A., Shajari, A.R., Amir S., “Nonlinear vibration of embedded SWBNNTs based on nonlocal Timoshenko beam theory using DQ method”. Physica B: Condensed Matter, 407, (2012) pp. 2549-2555.
 
[4]  Wang, Q. “Wave propagation in carbon nanotubes via nonlocal continuum mechanics”. Journal of Applied Physics, 98, (2005) pp. 124301.
 
[5]  Wang, L.F., Hu, H.Y. “Flexural wave propagation in single-walled carbon nanotubes”. Physical Review B, 71, (2005) pp. 195412.
 
Show More References
[6]  Narendar, S., Roy Mahapatra, D., Gopalakrishnan, S. “Prediction of nonlocal scaling parameter for armchair and zigzag singlewalled carbon nanotubes based on molecular structural mechanics, nonlocal elasticity and wave propagation”. International Journal of Engineering Science, 49, (2011) pp. 509-22.
 
[7]  Yan, Z., Jiang, L.Y. “The vibrational and buckling behaviors of piezoelectric nanobeams with surface effects”. Nanotechnology, 2, (2011) pp. 245703.
 
[8]  Reddy, J.N. “Nonlocal theories for bending, buckling and vibration of beams”. International Journal of Engineering Science, 45, (2007) pp. 288-307.
 
[9]  Huang, G.Y., Yu, S.W. “Effect of surface piezoelectricity on the electromechanical behavior of a piezoelectric ring”. physica status solidi b 243, (2006) pp. 22-4.
 
[10]  Yan, Z., Jiang, L.Y. “The vibrational and buckling behaviors of piezoelectric nanobeams with surface effects”. Nanotechnology, 22, (2008) pp. 245703
 
[11]  Simsek, M. “Nonlocal effects in the forced vibration of an elastically connected double carbon nanotube system under a moving nanoparticle”. Computational Materials Science, 50, (2011) pp. 2112-2123
 
[12]  Ke, L.L., Wang, Y.Sh., Wang, Zh.D. “Nonlinear vibration of the piezoelectric nanobeams based on the nonlocal theory” Composite Structures, 94, (2008) pp. 2038-2047.
 
[13]  Han, J.H., Lee, I. “Analysis of composite plates with piezoelectric actuators for vibration control using layerwise displacement theory”. Composite B: Engineering, 29, (1998) pp. 621-632.
 
[14]  Ghorbanpour Arani, A., Kolahchi, R., Mosallaie Barzoki, A.A. “Effect of material inhomogeneity on electro-thermo-mechanical behaviors of functionally graded piezoelectric rotating shaft”. Applied Mathematical Modelling 35, (2011) pp. 2771-2789.
 
[15]  Wang, Q. “On buckling of column structures with a pair of piezoelectric layers”. Engineering Structures, 24, (2002) pp. 199-205.
 
[16]  Mosallaie Barzoki, A.A., Ghorbanpour Arani, A., Kolahchi, R., Mozdianfard, M.R. “Electrothermo-mechanical torsional buckling of a piezoelectric polymeric cylindrical shell reinforced by DWBNNTs with an elastic core”. Applied Mathematical Modelling, 36, (2012) pp. 2983-95.
 
[17]  Mohammadimehr, M., Saidi, AR., Ghorbanpour Arani, A., Arefmanesh, A., Han, Q. “Torsional buckling of a DWCNT embedded on Winkler and Pasternak foundations using nonlocal theory”. Journal of Mechanical Science and Technology, 24, (2010) pp. 1289-99.
 
[18]  Ding, H.J., Wang, H.M., Ling, D.S. “Analytical solution of a pyroelectric hollow cylinder for piezothermoelastic axisymmetric dynamic problems”. Journal of Thermal Stresses, 26, (2003) pp. 261-76.
 
[19]  Wang, Q. “Axisymmetric wave propagation in a cylinder coated with apiezoelectric layer”. International Journal of Solids and Structures, 39, (2002) pp. 3023-37.
 
[20]  Shen, Zh.B., Tang H.L., Li, D.K., Tang, G.J. ” Vibration of single-layered graphene sheet-based nanome chanical sensor via nonlocal Kirchhoff plate theory”. Computational Materials Science, 61, (2012) pp. 201-205.
 
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Article

Investigations of Dynamic Characteristics of Eccentric Rotary Shaft of Wankelengine

1Department of Mechanical Engineering, RMD Singhad School of Engineering, Pune, India

2Department of Mechanical Engineering, M. E. Society’s College of Engineering, Pune, India


Journal of Mechanical Design and Vibration. 2014, 2(2), 53-59
DOI: 10.12691/jmdv-2-2-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
N. D. Pagar, S. H. Gawande. Investigations of Dynamic Characteristics of Eccentric Rotary Shaft of Wankelengine. Journal of Mechanical Design and Vibration. 2014; 2(2):53-59. doi: 10.12691/jmdv-2-2-3.

Correspondence to: N.  D. Pagar, Department of Mechanical Engineering, RMD Singhad School of Engineering, Pune, India. Email: pagar.nitin@gmail.com

Abstract

Accurate prediction of critical speeds in rotating machinery is of great importance to designer and many attempts have been made to calculate it exactly. At the design stage it is necessary to predict accurately the dynamic behavior of rotating system of rotating parts of Wankelengine in order to avoid resonant conditions at operating speeds. Critical speed of a rotating shaft differs from its non-rotating natural frequency. The main reason for this difference is known to be the gyroscopic momentum. So it is quite great important to determine the natural frequency of the eccentric shaft in non-rotating condition (free-free condition) i.e. degrees of freedom are not restricted. In this study the natural frequency and mode shapes are predicted for the eccentric shaft in free-free condition (non-rotating) by using the commercial software package (ANSYS) in its modal analysis option. And results obtained from it are compared with experimental modal analysis (FFT analyzer). The verified results leads to the prediction of the dynamic behavior of the eccentric shaft viz. design calculations, natural frequencies, mode shapes.

Keywords

References

[1]  JagdishLal and A. V. Church, “Centrifugal pump and blowers”, Metropolitan Book Co. Pvt. Ltd. New Delhi, pp. 135-138.
 
[2]  M.Behzad and A.R. Bastami, “Effect of Centrifugal force on natural frequency of lateral vibration of rotating shafts”, Journal of sound and vibration, vol. 274, no. 3-5, (2004), pp. 985-995.
 
[3]  D. H. Choi, J. H. Park and H. H. Yoo, “Modal analysis of constrained multibody systems undergoing rotational motion”, Journal of sound and vibration, vol. 280, no. 1-2, (2005), pp. 63-76.
 
[4]  S.S.Rao, “Rotor Dynamics”, Wiley, New York, 1983.
 
[5]  D.J.Inman, “Engineering Vibration”, 2nd ed. Prentice Hall, New Jersey, 2001, Tech Note, July 2005, (TN-DSA-003), “Basics of Modal Testing and Analysis”.
 
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[6]  I. Zeid and R. Sivasubramanian, “CAD/CAM” Revised first edition, TATA McGraw HILL Publishing Company Limited, New Delhi, pp. 653-728.
 
[7]  S.Gade and H. Herlufsen, “Digital filter technique versus FFT Technique for damping measurements”, Bruel&Kjaer Technical Review, No. 1, 1994, pp. 01-09.
 
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Article

Noise Level Reduction in Planetary Gear Set

1Department of Mechanical Engineering, M. E. Society’s College of Engineering, Pune, India

2Department of Mechanical Engineering, P. G. Moze College of Engineering, Wagholi Pune, India


Journal of Mechanical Design and Vibration. 2014, 2(3), 60-62
DOI: 10.12691/jmdv-2-3-1
Copyright © 2014 Science and Education Publishing

Cite this paper:
S.H. Gawande, S.N. Shaikh, R. N. Yerrawar, K.A. Mahajan. Noise Level Reduction in Planetary Gear Set. Journal of Mechanical Design and Vibration. 2014; 2(3):60-62. doi: 10.12691/jmdv-2-3-1.

Correspondence to: S.H.  Gawande, Department of Mechanical Engineering, M. E. Society’s College of Engineering, Pune, India. Email: shgawande@yahoo.co.in

Abstract

Planetary gears are very popular as a power transmission and extensively used in in a variety of industrial fields like automobiles, helicopters, aircraft engines, heavy machinery, and a variety of other applications. Despite their advantages, negative impacts on customer perception of quality from noise and vibration are ongoing issue. The noise induced by the vibration of planetary gear systems remains a key concern. Therefore in recent years to reduce gear vibrations different techniques have been proposed. In this paper the experimental work is carried out to study the effect of planet phasing on vibrations of planetary gear set. For this purpose experimental set up is built and trials were performed for two different arrangements i.e with phasing and without phasing. And it is seen that noise level and resulting vibrations were reduced by planet phasing arrangement. So from the experimental results it is observed that by applying the meshing phase difference one can reduced planetary gear set vibrations and noise.

Keywords

References

[1]  Richards, D., Pines, D. J., Passive reduction of gear mesh vibration using a periodic drive shaft, Journal of Sound and Vibration, 264, (2). 317-342, 2003.
 
[2]  Asiri, S., Baz, A., Pines, D., Periodic struts for gearbox support system, Journal of vibration and control, 11 (6), 709-721, 2005.
 
[3]  Jeong, C. G. Numerical study on reducing the vibration of spur gear pairs with phasing, Journal of Sound and Vibration, 329 (19), 3915-3927, 2000.
 
[4]  Hidaka, T., Terauchi, Y., and Nagamura, K., Dynamic behavior of planetary gears-6th report: Influence of meshing-phase, Bulletin of the Japan Society of Mechanical Engineers, 22 (169), 1026-1033, 1979.
 
[5]  A. Kahraman, Effect of Involute Contact Ratio on Spur Gear Dynamics, ASME Journal of Mechanical Design, 121 (1), 112-118, 1999.
 
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[6]  Schlege, R. G. & Mard, K. C., Transmission noise control-approaches in helicopter design, ASME Design Engineering Conference,New York, ASME paper 67-DE-58, 1967.
 
[7]  Kaharamam, A. & Blankership, G. W., Planet mesh phasing in Epicyclic gear sets, Proceedings of International Gearing Conference, Newcastle, PP. 99-104, 1994.
 
[8]  Parker, R. G., A physical explanation for the effectiveness of planet phasing to suppress planetary gear vibration, Journal of Sound and Vibration, 236 (4), 561-573, 2000.
 
[9]  Chen, Y. & Ishibashi, A., Investigation of Noise and vibration of planetary gear drives, ASMEPaper No. DETC2003/PTG-48065, pp. 507-513, 2003.
 
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Article

Validation of Results Obtained from Different Types of Fuzzy Controllers for Diagnosis of Inclined Edge Crack in Cantilever Beam by Vibration Parameters

1Department of Mechanical Engineering, National Institute of Technology, Rourkela, Odisha, India


Journal of Mechanical Design and Vibration. 2014, 2(3), 63-68
DOI: 10.12691/jmdv-2-3-2
Copyright © 2014 Science and Education Publishing

Cite this paper:
Ranjan K. Behera, Dayal R. Parhi. Validation of Results Obtained from Different Types of Fuzzy Controllers for Diagnosis of Inclined Edge Crack in Cantilever Beam by Vibration Parameters. Journal of Mechanical Design and Vibration. 2014; 2(3):63-68. doi: 10.12691/jmdv-2-3-2.

Correspondence to: Ranjan  K. Behera, Department of Mechanical Engineering, National Institute of Technology, Rourkela, Odisha, India. Email: ranjancet@gmail.com

Abstract

In this paper, the crack diagnosis using intelligent techniques (using membership functions in different fuzzy controllers) have been developed for inverse investigation of the vibration parameters (like modal frequencies and mode shapes) and crack parameters (like crack location, crack depth and crack inclination) of an inclined edge crack cantilever beam. The vibration parameters are calculated from finite element (using ANSYS) and experimental analysis which are used as inputs to the different fuzzy controllers. The different fuzzy controllers are designed by taking several types of membership functions to calculate the crack parameters. The calculated first three modal frequencies and mode shapes are used to generate the number of fuzzy rules with three output crack parameters. Finally, the proposed intelligent techniques are validated by comparing the results obtained from both FEA and experimental analysis. All the results are obtained from fuzzy controllers are in good agreement with experimental results.

Keywords

References

[1]  H.W. Shih, D.P. Thambiratnam and T.H.T. Chan, “Vibration based structural damage detection in flexural members using multi-criteria approach,” Journal of Sound and Vibration, vol. 323, pp. 645–661, 2009.J. Clerk Maxwell, A Treatise on Electricity and Magnetism, 3rd ed., vol. 2. Oxford: Clarendon, 1892, pp.68-73.
 
[2]  RS Prasad, SC Roy and KP Tyagi, “Effect of Crack Position along Vibrating Cantilever Beam on Crack Growth Rate,” International Journal of Engineering Science and Technology, Vol. 2(5), pp. 837-839, 2010.
 
[3]  K. Mazanoglu and M. Sabuncu, “A frequency based algorithm for identification of single and double cracked beams via a statistical approach used in experiment,” Mechanical Systems and Signal Processing, vol. 30, pp. 168-185, 2012.
 
[4]  B. P. NANDWANA and S. K. MAITI, “Modelling Of Vibration Of Beam In Presence Of Inclined Edge Or Internal Crack For Its Possible Detection Based On Frequency Measurements,” Engineering Fracture Mechanics, Vol. 58, No. 3, pp. 193-205, 1997.
 
[5]  Aysha Kalanad and B. N. Rao, “Detection of crack location and size in structures using improved damaged finite element,” IOP Conf. Series: Materials Science and Engineering, vol. 10, pp. 012054, 2010.
 
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[6]  LI Bing, CHEN Xuefeng, and HE Zhengjia, “Three­Steps­Meshing based Multiple Crack Identification for Structures and Its Experimental Studies,” Chinese journal of mechanical engineering, vol. 26, no. 1, pp. 1-7, 2013.
 
[7]  Y. M. Kim, C. K. Kim, and G. H. Hong, “Fuzzy set based crack diagnosis system for reinforced concrete structures,”Comput-ers and Structures, vol. 85, no. 23-24, pp. 1828-1844, 2007.
 
[8]  N. Saravanan, V. N. S. K. Siddabattuni, and K. I. Ramachandran, “Fault diagnosis of spur bevel gear box using artificial neural network (ANN), and proximal support vector machine (PSVM),”Applied Soft Computing Journal,vol.10, no.1, pp. 344-360, 2010.
 
[9]  T. Boutros and M. Liang, “Mechanical fault detection using fuzzy index fusion,”International Journal of Machine Tools and Manufacture, vol. 47, no. 11, pp. 1702-1714, 2007.
 
[10]  V. Sugumaran and K. I. Ramachandran, “Fault diagnosis of roller bearing using fuzzy classifier and histogram features with focus on automatic rule learning,”Expert Systems with Applications, vol. 38, no. 5, pp. 4901-4907, 2011.
 
[11]  L.J.De Miguel and L.F.Bl´ azquez, “Fuzzy logic-based deci-sion-making for fault diagnosis in a DC motor,”Engineering Applications of Artificial Intelligence, vol. 18, no. 4, pp. 423-450, 2005.
 
[12]  ANSYS Release 12, Inc. engineering simulation software.
 
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Article

Applications of Finite Element Stress Analysis of Heavy Truck Chassis: Survey and Recent Development

1Mechanical Engineering Department, Faculty of Engineering, South Valley University, Qena-83523, Egypt


Journal of Mechanical Design and Vibration. 2014, 2(3), 69-73
DOI: 10.12691/jmdv-2-3-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
Nouby M. Ghazaly. Applications of Finite Element Stress Analysis of Heavy Truck Chassis: Survey and Recent Development. Journal of Mechanical Design and Vibration. 2014; 2(3):69-73. doi: 10.12691/jmdv-2-3-3.

Correspondence to: Nouby  M. Ghazaly, Mechanical Engineering Department, Faculty of Engineering, South Valley University, Qena-83523, Egypt. Email: nouby.ghazaly@eng.svu.edu.eg

Abstract

Nowadays, transportation industry plays a major role in the economy of modern industrialized and developing countries. The goods and materials carried through heavy trucks are dramatically increasing. There are many aspects to consider when designing a heavy trucks chassis, including component packaging, material selection, strength, stiffness and weight. This paper reviews the most important research works, technical journal and conferences papers that have been published in the last thirteen year period (2002-2014). The paper focused on stress analysis of the heavy truck chassis using four finite element packages namely; ABAQUS, ANSYS, NASTRAN and HYPERVIEW. The results of reading this paper will give the researcher a summary of some recent and current developments in the field of vehicle design using finite element packages.

Keywords

References

[1]  K. P. Sirisha, R. Lalith Narayana, A. Gopichand, Ch. Srinivas, G. Ram Balaji Structural and Modal Analysis on A Frame Less Chassis Construction of Heavy Vehicle for Variable Loads” Journal of Engineering Research and Applications, Vol. 3, Issue 4, Jul-Aug 2013, pp. 2318-2323.
 
[2]  M. Ravi Chandra, S. Sreenivasulu, Syed Altaf Hussain, “Modeling and Structural analysis of heavy vehicle chassis made of polymeric composite material by three different cross sections” International Journal of Modern Engineering Research (IJMER), Vol. 2, Issue. 4, 2012 pp-2594-2600.
 
[3]  Mohd Azizi Muhammad Nora, b*, Helmi Rashida, Wan Mohd Faizul Wan Mahyuddinb, Mohd Azuan Mohd Azlanc, Jamaluddin Mahmud “Stress Analysis of a Low Loader Chassis” Procedia Engineering 41 (2012) 995-1001.
 
[4]  Sankararao Vinjavarapu, Unnam Koteswararao, V. Lakshmi Narayana “Design Optimization of Tipper Truck Body” International Journal of Engineering Research and Development, Volume 4, Issue 9 (November 2012), PP. 11-20.
 
[5]  Gauchia, A., Diaz, V., Boada, M.J.L., Boada, B.L. (2010). Torsional stiffness and weight optimization of a real bus structure. International Journal of Automotive Technology, vol. 11, p. 41-47.
 
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[6]  Tushar M. Patel and M. G. Bhatt Analysis and Design Modification of a Chassis” LAP Lambert Academic Publishing, 2012.
 
[7]  R. Rajappan, M. Vivekanandhan “Static And Model Analysis Of Chassis By Using FEA” Proceedings of the “National Conference on Emerging Trends In Mechanical Engineering 2013.
 
[8]  Practical Finite Element Analysis (Nitin S. Gokhale 2009).
 
[9]  Siraj Mohammad and Ali Sheikh “Analysis of universal coupling under different torque Condition” International Journal of Engineering Science & Advanced Technology, Volume-2, Issue-3, 690-694.
 
[10]  Abaqus Analysis User's Manual, vol 2-Abaqus 6.10.
 
[11]  Teo Han Fui, Roslan Abd. Rahman “Statics and Dynamics Structural Analysis of a 4.5 Ton Truck Chassis, Journal Mekanikal, December 2007, No. 24, 56-67.
 
[12]  G. Murail, B. Subramanyam and D. vaveen “Design Improvement of a Truck Chassis based on Thickness” Altair Technology conference, India, 2013.
 
[13]  Roslan Abd Rahman, Mohd Nasir Tamin, Ojo Kurdi “Stress analysis of heavy duty truck chassis as a preliminary data for its fatigue life prediction using FEM” Jurnal Mekanikal December 2008, No. 26, 76-85.
 
[14]  Cicek Karaoglu, N. Sefa Kuralay “Stress analysis of a truck chassis with riveted joints” Elsevier Science B.V Finite Elements in Analysis and Design 38 (2002) 1115-1130.
 
[15]  D. Valladares, M. Carrera, L. Castejon, C. Martin “Development of a Numerical Technique for the Static Analysis of Bolted Joints by the FEM” Proceedings of the World Congress on Engineering 2013 Vol III, WCE 2013, July 3-5, 2013, London, U.K.
 
[16]  Mehdi Mahmoodi-k, Iraj Davoodabadi, Vinko Višnjić, Amir Afkar “Stress And Dynamic Analysis Of Optimized Trailer Chassis” Tehnički vjesnik 21, 3 (2014), 599-608
 
[17]  Ji-xin Wang, Guo-qiang Wang, Shi-kui Luo, Dec-heng Zhou “Static and Dynamic Strength Analysis on Rear Axle of Small Payload Off-highway Dump Trucks” Int-ANSYS-Conf. 2004.
 
[18]  C. Karaoglu, N. Sefa Kuralay “Stress analysis of a truck chassis with riveted joints” Elsevier Science B.V Finite Elements in Analysis and Design. Vol 38, pp. 1115-1130, 2002.
 
[19]  K Chinnaraj, M Sathya Prasad and C Lakshmana Rao, “Experimental Analysis and Quasi-Static Numerical Idealization of Dynamic Stresses on a Heavy Truck Chassis Frame Assembly” Applied Mechanics and Materials, Vols. 13-14, pp. 271-280, 2008.
 
[20]  N. K. Ingole and D.V. Bhope “Stress analysis of tractor trailer chassis for self weight reduction International Journal of Engineering Science and Technology, Vol. 3 No. 9 September 2011.
 
[21]  H. Kamal Asker, T. Salih Dawood, A. Fawzi Said, ―Stress Analysis of standard Truck Chassis during ramping on Block using Finite Element Method”, ARPN Journal of Engineering and Applied Sciences, Vol. 7, NO. 6, June 2012
 
[22]  B. Hemant Patil, Sharad D. Kachave, Eknath R. Deore “Stress Analysis of Automotive Chassis with Various Thicknesses” IOSR Journal of Mechanical and Civil Engineering. Volume 6, Issue 1 (Mar.-Apr. 2013), PP 44-49, 2013.
 
[23]  Hirak Patel, Khushbu C. Panchal, Chetan S. Jadav “ Structural Analysis of Truck Chassis Frame and Design Optimization for Weight Reduction “International Journal of Engineering and Advanced Technology, Volume-2, Issue-4, April 2013.
 
[24]  Darshit Nayak, Dr. Pushpendra Kumar Sharma, Ashish parkhe “modelling and analysis of existing and modified chassis in tata truck “International Journal of Advanced Technology in Engineering and Science, Volume No. 02, Issue No. 05, May 2014.
 
[25]  NX Nastran Basic Dynamic Analysis User’s Guide, 2003.
 
[26]  MD Nastran Multidiscipline Simulation System for Advanced Engineering Analysis, 2008.
 
[27]  Masahiro Koike, Sanshirou Shimoda, Toshihide Shibuya, Hirofumi Miwa “Development of Kinematical Analysis Method for Vehicle”. Komatsu technical report, 2004, VOL. 50 NO. 153.
 
[28]  Balbirsingh R. Guron1, Dr. D.V. Bhope 2, Prof. Y. L. Yenarkar “Finite Element Analysis of Cross Member Bracket of Truck Chassis” IOSR Journal of Engineering, Vol. 3, Issue 3 (Mar. 2013), PP 10-16.
 
[29]  Sathish Kumar P and Balakrishnan M" Theoretical Evaluation and Finite Element Analysis of Commercial Truck Chassis Assembly," SAE Technical Paper 2013-01-1361, 2013.
 
[30]  Hai Xia Sun, Hua Kai Wei, Xiao Fang Zhao, Jia Rui Qi “Finite Element Analysis of Structural Strength of Concrete Mixing Truck’s Frame” 2014, Advanced Materials Research, Volumes 945-949, pp 1143-1149. H. Patel, Khushbu C. Panchal, Chetan S. Jadav “Structural Analysis of Truck Chassis Frame and Design Optimization for Weight Reduction” International Journal of Engineering and Advanced Technology, Volume-2, Issue-4, April 2013.
 
[31]  HyperWorks 12.0 Student Edition-Overview, 2014.
 
[32]  Madhu Ps 1 and Venugopal T R “Static Analysis, Design Modification and Modal Analysis of Structural Chassis Frame” Int. Journal of Engineering Research and Applications, Vol. 4, Issue 5, May 2014, pp. 06-10.
 
[33]  Abhishek Singh, Vishal Soni, Aditya Singh “Structural Analysis of Ladder Chassis for Higher Strength” International Journal of Emerging Technology and Advanced Engineering. Volume 4, Issue 2, February 2014).
 
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Article

Performance Enhancement of Fabric Dyeing Process by Parametric Optimization

1LANXESS IndiaPvt Ltd, Nagda (M.P) India

2IES IPS Academy, Indore (M.P) India

3Indian Institute of Technology, Indore (M.P.) India


Journal of Mechanical Design and Vibration. 2014, 2(4), 74-80
DOI: 10.12691/jmdv-2-4-1
Copyright © 2014 Science and Education Publishing

Cite this paper:
Kamal Ojha, Rahul Sharma, Sunil Pathak. Performance Enhancement of Fabric Dyeing Process by Parametric Optimization. Journal of Mechanical Design and Vibration. 2014; 2(4):74-80. doi: 10.12691/jmdv-2-4-1.

Correspondence to: Kamal  Ojha, LANXESS IndiaPvt Ltd, Nagda (M.P) India. Email: kamalojha28@gmail.com

Abstract

Central composite design a response surface methodology approach is used for design the experiments, by fluctuating the accompanying three parameters namely fabric heating temperature, peroxide dosing time 1 and peroxide dosing time 2, at five levels to investigate their effects on the quality of the fabric i.e. fabric GSM and fabric width. Twenty experiments are planned using RSM and from the detailed examination of the results and testing of the varying input parameters for their significance at 95% confidence interval using ANOVA technique by “Design expert version 8 of stat ease Inc” were performed to calculate the percentage contribution of the input parameters and their interactions on the responses. From the results of the response surface model it is found that the optimized parametric combination for obtaining the required quality of fabric as per the requirement of MOL i.e. fabric GSM 150 and fabric width 180 cm; are very much achievable by using the identified parametric combinations namely fabric heating temperature as 90C, peroxide dosing time 1 as 5 minutes and peroxide dosing time 2 as 7.5 minutes.

Keywords

References

[1]  Murugesh B. K. and Selvadass. M (2013) “Influence of Wet Processing on Properties of Single Jersey Knitted Fabrics” International Journal of Fiber and Textile Research 2013; 3(1): 18-30, ISSN 2277-7156.
 
[2]  Najafi et al. (2009) “One bath method dyeing of polyester/cotton blend fabric with sulphatoethylsulphonyl disperse/reactive dyes treatment by chitin biopolymer” African Journal of Biotechnology Vol. 8 (6), pp. 1127-1135.
 
[3]  Syed et al. (2013) “Dyeing of Organic Cotton Fabric using Conventional and Ultrasonic Exhaust Dyeing Method” Mehran University Research Journal of Engineering & Technology, Volume 32, No. 2, April, 2013, ISSN 0254-7821.
 
[4]  Saha et al. (2013) “Comparative study on Garments dyeing process and Fabric dyeing process on various parameters (PH, M: L, softener etc)” International Journal of Modern Engineering Research (IJMER), Vol. 3, Issue. 4, Jul - Aug. 2013, ISSN: 2249-6645, pp-2434-2441.
 
[5]  Tepparin et al. (2012) “Dyeing of Cotton, Bombyx Mori and Eri Silk Fabrics with the Natural Dye Extracted from Tamarind Seed” International Journal of Bioscience, Biochemistry and Bioinformatics, Vol. 2, No. 3, May 2012.
 
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[6]  Chowdhury et al. (2009) “Process for Level Dyeing of 100% Cotton knit Fabrics with reactive Dye” j. innov. dev. strategy. 3 (4): 1-8.
 
[7]  Kan and Law (2012) “Effect of Reactive Dyeing and cellulase Treatment on the pilling properties of Cotton Knitted Fabric” International Conference: Textiles & Fashion 2012, Bangkok Thailand.
 
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