压电纤维复合材料层合壳的非线性动力学研究

本文对横向激励作用下的1-3型压电纤维复合材料层合壳进行了非线性动力学分析,并研究了压电特性对结构振动响应的影响.首先建立了压电纤维复合材料层合壳的非线性动力学方程,并且在已知的几何结构和材料特性基础上考虑了电场属性.然后根据位移边界条件,选择合适的振型函数,通过Galerkin方法将运动控制方程转化成两自由度的非线性常微分方程.通过数值模拟方法分析了横向激励和压电系数对压电纤维复合材料层合壳非线性振动特性的影响.通过波形图、三维相图、庞加莱图和分叉图等来研究壳体不同类型的周期和混沌运动.结果表明,外激励作用下结构存在复杂的非线性振动响应,同时压电参数对层合壳结构振动响应具有很强的调节作用.

Nonlinear dynamic analysis of piezoelectric macro-fiber composite laminated shells

This paper presents the nonlinear dynamical analysis of a multilayer d31 piezoelectric macro-fiber composite (MFC) laminated shell under the transverse excitations, and the effect of the piezoelectric properties on structure vibration response is also studied. The nonlinear dynamic equations of the MFC laminated shell is firstly established. Based on the known geometrical and material properties of its constituents, their electric field dependence was presented. The vibration mode-shape functions are then obtained according to the displacement boundary conditions, and the Galerkin method is employed to transform the partial differential equation into two nonlinear ordinary differential equations. Subsequently, numerical simulation examines the effect of the transverse excitations and the piezoelectric coefficients on the nonlinear vibration of MFC laminated shell. The two-dimensional phase portraits, three-dimensional phase portraits, waveform phase, frequency spectrum phase, and bifurcation diagram are presented and used to investigate the different kinds of the periodic and chaotic motions of (MFC) laminated shell. The results indicate that piezoelectric parameters have a strong effect on the vibration response of the MFC laminated shell.