Science and Education Publishing American Journal of Mechanical Engineering 2328-4110 2 7 2016 8 16 Nonlinear Dynamics of a Controlled Cantilever Beam with Varying Orientation under Primary Resonance 316 327 EN Usama H. Hegazy Department of Mathematics, Faculty of Science, Al-Azhar University, P.O. Box 1277, Gaza, Palestine AJME20142731 10.12691/ajme-2-7-31 2016 3 25 2016 5 28 2016 8 14 The problem of controlling the oscillations and chaotic behavior of a nonlinear cantilever beam with varying orientation under mixed excitations is tackled. Numerical integration of the second order nonlinear ordinary differential equation is performed with different control strategies to explore the chaotic dynamics of the first mode of the beam at the primary resonance case. The method of multiple scales perturbation technique is applied to obtain approximate solution and the stability of the response is studied. The effects of the various parameters are investigated by numerical simulations.