摘要
基于Timoshenko-Mindlin假设及Hamilton原理,建立了一般纤维叠层圆柱厚壳在参数激励下的非线性振动方程;应用多模态近似和增量谐波平衡法求解了叠层圆柱厚壳的非线性动力稳定性问题。横向剪切变形、端部支承条件等因素的影响被讨论。
Based on Timoshenko-Mindlin hypotheses and Hamilton’s principle,a systemof equations of nonlinear vibration is set up for laminated circular cylindrical thick shellswith parametric excitation。Using a multi-mode approach and the incremebltal harmonicbalance method, a solution for nonlinear dynamic stability of these shells is obtained.Theeffects of the transverse shear deformation,support conditions etc。on the dynamic stabilityof these shells are discussed。
出处
《力学学报》
EI
CSCD
北大核心
1995年第5期624-630,共7页
Chinese Journal of Theoretical and Applied Mechanics
关键词
非线性
稳定性
圆柱厚壳
工程动力学
laminated,circular cylindrical thick shell,nonlinearity,dynamic stability