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正交正放类网架结构固有频率及屈曲分析的样条Galerkin法
引用本文:赵雷.正交正放类网架结构固有频率及屈曲分析的样条Galerkin法[J].计算力学学报,1995,12(1).
作者姓名:赵雷
作者单位:西南交通大学建筑工程系
摘    要:本文根据考虑剪切变形的具有3个广义位移的平板弯曲理论,把正交正放类平板网架假设为由三层不同性质材料组成的各向正交异性夹层板。文中以双5次B样条函数中的一组基底作为试函数,用加权残值法中的离散型Galerkin法,导出了这类网架的频率方程和屈曲方程。数值算例表明,这种方法是方便而精确的。

关 键 词:固有频率,屈曲/拟夹层板法,样条函数,残值矩阵

Analysis of natural frequency and buckling onorthogonal and ortho-laid space truss by Spline-Galerkin method
zhao Lei.Analysis of natural frequency and buckling onorthogonal and ortho-laid space truss by Spline-Galerkin method[J].Chinese Journal of Computational Mechanics,1995,12(1).
Authors:zhao Lei
Abstract:According to the theory of plate with consideration of shear deformation and three gen -eralized displacements,the orthogonal and ortho-laid space truss has been assumed as or-thotropic sandwich plate with three different materials in this paper.A basic function,andthe frequency equations and buckling equations of the space truss is given by dispersedGalerkin method of MWR. Numerical examples show that the method is simple and accura-cy.
Keywords:natural frequency  buckling/equivalent sandwich plate  spline function  residual noatrix
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