摘要
提出了一种分析正交各向异性圆柱壳和阶梯圆柱壳稳定性问题的混合变量条形传递函数方法。首先基于Flugge薄壳理论,通过定义广义位移交量和对应的广义力变量,建立了圆柱壳混合变量能量泛函;然后通过引入条形单元,定义混合状态变量和采用传递函数方法对超级壳单元求解,得到具有多种边界条件圆柱壳屈曲问题的半解析解;最后通过位移连续和力平衡条件,可以得到阶梯圆柱壳屈曲问题的解。理论解推导过程表明此方法在引入边界条件和进行阶梯圆柱壳求解时非常方便。算例分析的结果验证了本方法的正确性。
A mixed variables strip transfer function was presented for analyzing the stability problem of or-thotropic cylindrical shells and stepped cylindrical shells. First, based on Fliigge thin shell theory, the energy function with mixed variables for cylindrical shells was established by defining generalized displacement variables and corresponding generalized force variables. Then, the strip elements and mixed state variables were defined. Super shell element was solved by using transform function method and the closed-form solutions for buckling problems of cylindrical shells under arbitrary boundary conditions were obtained. Finally, the solutions for buckling problems of stepped cylindrical shells were obtained by enforcing displacement continuity and force equilibrium. The driving process of analytical solutions shows that it is very convenient for introducing boundary conditions and solving the buckling problems of stepped cylindrical shells. The numerical results show that this method is validated.
出处
《力学季刊》
CSCD
北大核心
2002年第4期487-493,共7页
Chinese Quarterly of Mechanics
基金
杰出青年科学基金(19925209)
关键词
混合变量
传递函数
屈曲
超级壳单元
条形单元
mixed variables
transfer function
buckling
super shell elements
strip elements
