作　　者： ; ;

机构地区： 北京工业大学机械工程与应用电子技术学院

出　　处： 《振动与冲击》 2012年第19期174-179,共6页

摘　　要： 运用渐进摄动法得到复合材料角铺设层合板系统的平均方程在此基础上研究了四边简支碳纤维增强复合材料角铺设层合板在外激励作用下的非线性振动和混沌运动。指出由于复合材料角铺设层合板的强耦合作用而引起该板系统运动控制方程的复杂性,系统平面的振动方程不仅与横向振动方程相耦合而且与中面法线的转角有关。考虑了复合材料角铺设层合板系统在1:1内共振和基本参数共振的情况下的动力学特性,数值模拟得到了复合材料角铺设层合板在参数激励和横向激励联合作用下的复杂周期和混沌运动。 The nonlinear oscillations and chaotic motion of a simply supported angle-ply composite laminated rectangular thin plate with parametric and external excitations were investigated, an asymptotic perturbation method was presented based on Fourier expansion and temporal resealing to solve the ordinary differential equation of the system. According to Reddy＇s third-order plate theory, the governing equations of motion for the angle-ply composite laminated rectangular thin plate were derived by using Hamilton＇s principle. Then, Galerkin procedure was applied to the partial differential governing equation to obtain a 2-DOF nonlinear system including quadratic and cubic nonlinear terms. Such equations were utilized to deal with the resonant case of 1 ： 1 internal resonance and primary parametric resonance-1/2 subharmonic resonance. Based on the averaged equation obtained with the asymptotic perturbation method, the phase portrait and power spectrum were used to analyze the multi-pulse chaotic motions of the angle-ply composite laminated rectangular thin plate. Under certain conditions, the different periodic and various chaotic motions were found in the angle-ply composite laminated rectangular thin plate.

关 键 词： 角铺设 强耦合 参数激励 非线性运动

领　　域： [理学] [理学]