Abstract

In this research, an analytical method is presented to investigate the nonlinear response of viscoelastic cylindrical shells with the finite length under moving internal pressure by moderately large deflection assumption. The viscoelastic behavior is considered as elastic in the bulk and standard linear solid in the shear. The strain-displacement relations are defined using nonlinear von Karman relations. By employing Hamilton’s principle, the equations of motion are extracted based on the classical shell theory. These equations which are a system of nonlinear coupled partial differential equations, are solved by the method of multiple scale of the perturbation technique and the response due to moving pressure and the critical velocity are determined. Moreover, the effects of different geometrical and viscoelastic parameters on the results are investigated. The results are compared with the finite element method and the reported results in some literatures.

摘要

在这项研究中，提出了一种分析方法来研究有限长度的粘弹性圆柱壳在移动内压下的非线性响应，并采用中等大挠度假设。粘弹性行为被认为是体弹性和剪切中的标准线性固体。应变-位移关系使用非线性 von Karman 关系定义。利用Hamilton原理，根据经典壳理论提取运动方程。这些方程是非线性耦合的偏微分方程组，采用微扰技术的多尺度方法求解，确定了运动压力和临界速度引起的响应。而且，研究了不同几何和粘弹性参数对结果的影响。将结果与有限元法和一些文献中报道的结果进行了比较。