粘弹性索非线性响应及动力稳定性

根据Ｒｅｖｌｏｎ材料的一维本构方程及索的运动方程导出了粘弹性索在重力作用下，面内和面外的偏微分运动方程。利用Ｇａｌｅｒｋｉｎ方法将偏微分方程转化为一组非线性常微分方程。给出了粘弹性索的动力稳定性分析方法。通过数值仿真研究说明了弹性和粘性参数对索的动态响应的影响。

Nonlinear Response and the Dynamic Stability of Viscoelastic Cable

Based on one dimensional constitutive equations of Revlon materials and the motion equations of the cable, the partial differential equations of the viscoelastic cable in inner and outer of plan under the gravity are investigated. Using Galerkin's method, a system of nonlinear ordinary equations is obtained. The analysis methods of the dynamic stability of viscoelastic cable are given. Finally, the effect of dynamic response of the cable, which is produced by elastic and viscoelastic parameters, is testified by the research of digital simulation.