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一种变厚度的精化壳体理论及其应用
引用本文:徐延海,贾丽萍,张建武.一种变厚度的精化壳体理论及其应用[J].应用力学学报,2003,20(1):110-113.
作者姓名:徐延海  贾丽萍  张建武
作者单位:上海交通大学,上海,200030
摘    要:在Reddy型高阶壳体理论的基础上,采用沿壳体厚度方向的剪切应变呈抛物线分布并且能够满足在壳体的上下表面为零的假设,发展出了一种适合于对变厚度壳体进行非线性分析的方法。该方法利用Ritz原理得到问题的控制方程。通过对一种典型的变厚度壳体结构(子午线轮胎)的结构分析,该方法的计算结果与商用有限元软件的三维分析结果能够很好的吻合。表明了该方法的适用性和有效性。

关 键 词:高阶壳体理论  变厚度  子午线轮胎
文章编号:1000-4939(2003)01-0110-04
修稿时间:2001年11月15

A Refined Shell Theoy with Variable Thickness and its Application
Xu Yanhai,Jia Liping,Zhang Jianwu.A Refined Shell Theoy with Variable Thickness and its Application[J].Chinese Journal of Applied Mechanics,2003,20(1):110-113.
Authors:Xu Yanhai  Jia Liping  Zhang Jianwu
Abstract:On the basis of Reddy's higher order shell theory, a r ef ined shell theory with variable thickness is developed to analyze shell structur e with variable thickness. The assumption that the transverse shear strain chang es as parabolic relation through thickness and vanishes at bottom and top surfac es of shell structure is employed in the present approach. The Ritz procedure i s applied to obtain the governing equations of the problem. The theory is used t o analyze a radial tire, which is a typical variable thickness shell structure. By comparing the present results with the 3D results from commercial FEM softwa re, it shows the suitability and validity of present approach.
Keywords:higher order shell theory  variable thickness  radial  tire  
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