层壳考虑横向剪切效应的自由振动分析

基金项目: 国家自然科学基金

FREE VIBRATION ANALYSIS OF LAMINATED SHELLS INCLUDING TRANSVERSE SHEAR EFFECTS

摘要

摘要: 本文采用一个分层的剪切变形理论分析层壳的自由振动。假定层壳各层横向剪切应变彼此线性相关,从而未知函数个数与一阶剪切变形理论相同,但控制微分方程的阶数为十二阶,且不含剪切修正因子。文中计算了一个短圆柱壳与两种扁壳的自由振动频率,数值结果与经典层合理论、一阶剪切变形理论及其他剪切变形理论的计算结果进行了比较。
- 自由振动分析 /
- 层合壳 /
- 横向剪切效应 /
- 分层剪切变形理论
Abstract: A discrete-layer shear deformation theory is used to analyse the free vibration of laminated shells.The theory adopts an assumption that the transverse shear strains across any two layers are linearly dependent on each other. The theory contains the same dependent variables as the first-order shear deformation theory, but the set of governing differential equations is of twelfth order. No shear correction factors are required. Free vibrations of a short circular cylindrical shell and two shallow shells are calculated. The numerical results are compared with the classical lamination theory first-order shear deformation theory and other shear deformation theory solutions.free vibration analysis, laminated shells, transverse shear effects, discrete-layer shear deformation theory
- free vibration analysis /
- laminated shells /
- transverse shear effects /
- discrete-layer shear deformation theory