径向轴对称冲击载荷下正交异性固支圆板的Liapunov稳定性  

On the Liapunov's Stability of a Clamped Orthotropic Round Plate under Radial Axisymmetrical Impact Load

作　　者：揭敏[1] 

机构地区：[1]华中理工大学力学系

出　　处：《应用数学和力学》1996年第2期145-149,共5页Applied Mathematics and Mechanics

摘　　要：本文用Ｌｉａｐｕｎｏｖ第二方法分析了周边受轴对称径向冲击载荷作用的极正交各向异性固支圆板的稳定性．分析是在小挠度和弹性范围内进行的．冲击载荷被假定具有阶梯脉冲形式．导出了相应的稳定性条件．Liapunov's Znd method is applied to analyst the stability of a clamped poleorthotropic round plate acted by a radial axisymmetrical impact load on its periphery. The analysis is carried out under the assumptions of small deflection and elasticity. The impact load is supposed to have a step impulsive form. A sufficient stability condition is given.

关 键 词：轴对称 冲击载荷 圆板 稳定性 正交异性 

分 类 号：O343.8[理学—固体力学]