摘要
在给出的横向磁场与机械载荷共同作用下薄板的振动方程的基础上,应用Galerkin法将薄板的振动方程简化为无扰动和扰动两种情形。针对扰动系统采用Melnikov方法得到系统存在n阶次谐波轨道,并给出了该系统存在Smale马蹄变换意义下的混沌现象的临界条件。
Based on the vibration equation of beam plate under mechanical loading in a uniform transverse magnetic field, the vibration equation of the conductive beam plate is reduced to two cases; no-perturbation system and perturbation system. For perturbation sys- tem, n-order harmonic orbit is given by means of the Melnikov methods. Finally, the critical condition of chaos phenomena is given in the transformation of Smale horseshoe.
出处
《北华航天工业学院学报》
CAS
2010年第5期14-16,20,共4页
Journal of North China Institute of Aerospace Engineering
