层合非圆截面柱壳的非线性振动分析

在Timoshenko-Mindlin假设和Donnell型板壳理论基础上研究了层合非圆截面柱壳的非线性振动，得出了考虑剪切变形和面内转动惯量影响的层合非圆截面柱壳的一般非线性运动控制方程。对两端夹支椭圆截面柱壳，假设其振动形式解，用迦辽金法得到一组关于时间函数的非线性微分方程，以谐波平衡法求解，给出了数据计算结果，并就圆柱壳结果和已有文献作了比较。

Nonlinear Vibration of Generally Laminated Non-circular Cylindrical Shells

Non-linear vibration of generally laminated non-circular cylindrical shells is examined using the Timoshenko-Mindlin-Kinamatic hypothesis and an extension of Donnell-type shell theory.Equations ofmotion,in which the effects of transverse shear deformation and rotatory inertia are included,are obtained.A solution for non-linear free vibrations of clamped oval shells is formulated using a multimode approach.The Galerkin procedure furnishes an infinite system of equations for time functions which are solved by the method of harmonic balance.Numerical results in non-linear vibration of laminated oval cylinder are presented graphically for different parameters.As a special case,non-linear vibration of circular cylindrical shells is calculated and compared with that from the liteature.