闭合旋转薄壳的非线性模态方程  

Nonlinear modal equations for closed revolution shells

作　　者：孟庆照[1] 李小菊[1] 张志良[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2010年第1期63-69,共7页Journal of Zhejiang Normal University:Natural Sciences

基　　金：浙江省自然科学基金资助项目(100039)

摘　　要：采用Sanders薄壳理论和虚功原理推导了闭合旋转薄壳的几何非线性模态方程,其系数计算公式适合于用数值方法确定.用已有理论和解析结果证实了本文工作的正确性.Donnell非线性浅壳理论所得到的平方非线性的系数值与本文结果基本相同,而立方非线性的系数值则比本文结果明显偏小.Nonlinear modal equations for closed revolution shells were derived according to the virtual work principle by the Sanders nonlinear shell theory. The coefficients of the equations were well-suited for numerical calculation. The obtained results were verified by the known published results. The coefficient values of the square terms derived from the Donnell＇s nonlinear shallow-shell theory seemed very close to the present resuits, whereas the coefficient values of the cubic terms were significantly under-estimated.

关 键 词：旋转薄壳 非线性 模态方程 Sanders薄壳理论 离散 

分 类 号：O326[理学—一般力学与力学基础]