均布载荷作用下弹性基础框架的变形与内力分析

Analysis of deformation and stress of elastic foundation frame under uniform pressure

采用"初参数法",对均布载荷作用下、四结点铰接的弹性基础框架的变形和内力分布进行了理论研究。假设框架由有限长弹性基础梁构成,根据结构对称性与载荷特点,找出了新的边界条件和平衡方程,采用对称解法得到了均布载荷作用下的任意长宽比情形下的弹性基础框架的变形与内力的分布函数。最后,计算了特殊情形"l=h"时的弹性基础框架弯曲变形,所得到的解可退化至"受均布载荷作用的两端固支的弹性基础梁",与已有的理论解相一致,证明了本文理论的正确性。

The deformation and stress of elastic foundation frame under uniform pressure,whose four crunodes are all pinned joint is theoretically researched.It is assumed that the frame is composed of four finite-length beams on elastic foundation.According to the character of load and the symmetry of structure,the new boundary conditions and equilibrium equations are found.And through symmetry solution,the distributing functions of the deformation and stress of elastic foundation frames with arbitrary widths ratio under uniform pressure are obtained.Finally,an example of ＂l=h＂ is given,and the obtained formula can be degenerated to the case of ＂a clamped-clamped beam on elastic foundation under uniform pressure＂,which is coincided well with the existing analytical solutions and proves the correctness of the theory in this paper.