扁球面网壳的非线性频率  

The nonlinear frequency of the shallow spherical reticulate shell

作　　者：顾小妹[1] 

机构地区：[1]南京航空航天大学金城学院数理力学系,江苏南京211156

出　　处：《阜阳师范学院学报（自然科学版）》2009年第3期20-23,共4页Journal of Fuyang Normal University(Natural Science)

摘　　要：根据薄壳非线性动力学理论,用拟壳法给出扁球面网壳的非线性动力学基本方程.在扁球面网壳周边在底面内可移夹紧和周边在底面内固定夹紧两种边界条件下求解了该网壳的非线性频率.把振型函数和应力函数代入能量变分方程,在一个周期内积分即可求得该网壳的非线性频率.由非线性频率的特征关系式画出了非线性频率的特征曲线.The nonlinear dynamical fundamental equations of the shallow spherical reticulate shell are obtained with method of quasi-shell and theory of nonlinear dynamics of thin shell. According to the nonlinear dynamical equation and compatible equations of the shallow reticulated latticed shells, using energy variation equations, the nonlinear natural frequency of the shallow reticulated latticed shells is obtained under the clamped and free boundary conditions by integraling energy variation equations. The figures of the characteristic curves of the natural frequency are pointed based on the characteristic relationships of the natural frequency.

关 键 词：线性 动力学 频率 拟壳法 

分 类 号：O343.5[理学—固体力学]