【作者】 王永岗； 王新志； 宋慧芳；

【Author】 Wang Yonggang Song Huifang Wang Xinzhi (Gansu University of Technology)

【机构】 甘肃工业大学机设系；

【摘要】 本文研究了扁薄球壳和扁薄锥壳在均布静载荷作用下的轴对称非线性自由振动问题。根据旋转扁壳的非线性动力变分方程,首先应用配点法,给出非线性静力边值问题的解．在此基础上,用 Galerkin 和 Lindstedt-poincare 摄动法获得了非线性固有频率与振幅间的特征关系,并讨论了静载荷及壳体的几何参数对其振动特性的影响。更多还原

【Abstract】 The objective of this paper is to study the axisymmetric nonlinear free vi- bration problems of shallow thin spherical and conical shells under uni- formly distributed static loads.According to the nonhnear dynamic varia- tional equation of shallow shdls,first of all,the solutions to the static boundary value problem are given from collocation method.Based on the static solutions,the characteristic relation between frequency ratio and am- plitude is obtained by use of Galerkin’s method and LindstedtPoincare perturbation method.The effects of static loads and geometric parameters on the nonlinear vibration of shells are investigated.更多还原