Chaos of a post-buckled Giant- Magnetostrictive thin film laminated beam
GeGen1, ZhuZhiWen2 ,XuJia2
1 School of Mechanical Engineering, Tianjin Polytechnic University，Tianjin 300160, China 2 School of Mechanical Engineering , Tianjin University, Tianjin,300072, PR China
Abstract：One buckled simply supported giant magnetostrictive material (GMM) thin film laminated beam model under axial magnetic excitations is proposed. The magnetostrictive force is simplified as a harmonic excitation. Appling the Hamilton principle and Galerkin approach the model is expressed as a one dimensional vibrating model with parametrical excitation. With the help of the undermined fundamental frequency method and normal form theory the Melnikov approach is improved to calculate more precise threshold value of the amplitude of excitation leading to chaos. The numerical simulation shows the performance of the new Melnikov approach is much better than the traditional way.
2013, Vol. 32 
