摘要
推导出弹性地基上各向异性平行四边形板的控制微分方程和内力方程。并利用对称性将其分解成中心对称和中心反对称两个问题,进而对每个问题给出了两个齐次解和一个特解,通过叠加而得到用重傅立叶级数表示的全解,该解克服了过去人们用重傅立叶级数仅在一个方向用一种级数(正弦或是余弦函数)表示导致的弊端。另外还给出了加快傅立叶级数收敛速度的计算公式。
The governing differential equations and the internal force expressions of anisotrophic parallelogram plates on elastic foundation are presented. According to symmetry, the problem is decomposed into symmetrical and antisymmetric parts, and for each part, two homogeneous solutions and a particular solution are given. The general solution, which is expressed as double Fourier series, is obtained by means of superposition. The present solution overcomes the flaw associated with other solutions using the doubl...
出处
《工程力学》
EI
CSCD
北大核心
2005年第S1期156-160,共5页
Engineering Mechanics
关键词
弹性地基
各向异性
平行四边形板
傅立叶级数
加快收敛
elastic foundation
anisotropy
parallelogram plate
Fourier series
convergence speedup
