American Journal of Mechanical Engineering
ISSN (Print): 2328-4102 ISSN (Online): 2328-4110 Website: Editor-in-chief: Kambiz Ebrahimi, Dr. SRINIVASA VENKATESHAPPA CHIKKOL
Open Access
Journal Browser
American Journal of Mechanical Engineering. 2017, 5(5), 223-227
DOI: 10.12691/ajme-5-5-5
Open AccessArticle

Aplication of Piezoelectric Effects on Flutter Speed of Gas Turbine Blades

Ali Ghorbanpoor Arani1 and Seyed Adnan Mousavi2,

1Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran

2Islamic azad University, jasb Branch, jasb, Iran

Pub. Date: November 16, 2017

Cite this paper:
Ali Ghorbanpoor Arani and Seyed Adnan Mousavi. Aplication of Piezoelectric Effects on Flutter Speed of Gas Turbine Blades. American Journal of Mechanical Engineering. 2017; 5(5):223-227. doi: 10.12691/ajme-5-5-5


Analysis of gas turbines blades is one of the important applications of aeroelastic. In this study, a row of blade including a tuned disk and a certain number of blades are studied. Curved blades are modeled as free beam whose section has a significant moment of inertia due to the curvature. The blades are under self-exited flutter with two degrees of bending and torsional vibration freedom. Since the disk is tuned, analysis of the entire structure and fluid system is focused on a blade and the flow around it. Aerodynamic forces are calculated with ANSYS/FLOTRAN CFD software following the stable and unstable blades steps and then, the real and imaginary forces of the fluid are obtained. Aerodynamic forces at different reduced frequencies are measured based on the above method. On the other hand, Timoshenko beam motion equation is written with regard to the rotary inertia and shear deformation. Ignored external forces and modal analysis while flexural and torsional movements are out of the coupled state , is used to determine the natural frequencies and modes of the system. Then, the final aero-elastic analysis is carried out in coupling flexural and torsional and coupling aerodynamic condition. By involvement of factors such as quasi –inertia, quasi- damping and quasi-elastic fluid in inertia and damping and stiffness matrix, and in the form of special value is created. Generally, the obtained special value will be a mixed number. If the release rate of the fluid is in a way that the real part of it which represents the damping rate, equals to zero, and such speed is the line of divergence and is called the flutter speed. In this case, the perceived part will represent the frequency of flutter. Then, the velocity of the flutter with the addition of piezoelectric is studied, piezoelectric effects on the velocity of the blades are investigated. At the end, flexural and torsional displacements of the blade have been analyzed over time.

blade airfoil ANSYS CFD Timoshenko beam Euler-Bernoulli beam aeroelastic flutter

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit


[1]  Han S.M., Benaroya H., and Wei T., Dynamics of Transversly Vibrating Beams Using Four Engineering Theories, Journal of Sound and Vibration 225(5), 935-988, 1999.
[2]  Lawrence C., Spyropoulos E., Reddy T.S.R., Unsteady Cascade Aerodynamic Response Using a Multiphysics Simulation Code, NASA/TM-209635, January 2000.
[3]  Reddy T.S.R., Bakhle M.A., Trudell J.J., Mehmed O., Stefko G.L., LINFLUX-AE: A Turbomachinery Aeroelastic Code Based on a 3-D Linearized Euler Solver, NASA/TM-2004-212978, May 2004.
[4]  Sadeghi M., Liu F., Coupled Fluid-Structure Simulation for Turbomachinery Blade Rows, 43rd AIAA Aerospace Sciences Meeting and Exhibit, AIAA 2005-0018, 10 - 13 Jan 2005, Reno, NV.
[5]  Karadal F.M., Seber G., Sahin M., Nalbantoglu V., Yaman Y., State Space Representation of Smart Structures Under Unsteady Aerodynamic Loading, Ankara International Aerospace Conference, September 2007, Ankara, Turkey.
[6]  S. Narayanana, V. Balamurugan, Finite element modelling of piezolaminated smart structures for active vibration control with distributed sensors and actuators, Sound and Vibration J., 262, 2003, pp. 529-562.
[7]  S.X. Xu, T.S. Koko, Finite element analysis and design of actively controlled piezoelectric smart structures, Finite Element in Analysis and Design J., 40, 2004, pp. 241-262.