无单元技术在压力管道屈曲失稳分析中的应用  

Application of meshless technique in buckling stability analysis of penstock

作　　者：孟闻远[1] 卓家寿[1] 籍东 

机构地区：[1]河海大学土木工程学院 [2]华睿投资集团有限公司,北京100031

出　　处：《水利学报》2005年第7期880-885,共6页Journal of Hydraulic Engineering

基　　金：国家自然科学金资助项目(50079005)

摘　　要：本文将加肋的水工压力管道看成厚曲梁与柱壳的组合体,考虑肋壳的相互作用,推导了厚曲梁及柱壳的非线性几何方程。应用无单元技术建立曲梁的位移形状函数,消除了有限元法计算板壳时的闭锁现象。推导出了加肋柱壳的稳定性分析及静态和动态分析的一般性数学表达式。基于上述理论及水工压力管道实际工作状态,建立了分析压力管道屈曲失稳的模型。The penstock with ribs was regarded as the combination of thick curve beams and cylindrical shell. In consideration of the interaction between ribs and shell, the nonlinear geometrical equations for curve beam and cylindrical shell were deduced. By using the meshless technique, the displacement shape functions applied to arbitrary thin curve beam were obtained. A set of formulations for analyzing the strength and stability of cylindrical shell with arbitrary ribs were presented. On this basis the model for calculating the buckling stability of penstocks bearing internal pressure was established according to the actual working conditions of penstocks in hydropower station.

关 键 词：加肋柱壳 稳定性 位移模式 无单元新技术 

分 类 号：TU433[建筑科学—岩土工程]