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力学与实践 ›› 2011, Vol. 33 ›› Issue (1): 29-34.doi: 10.6052/1000-0879-lxysj2010-255

• 应用研究 • 上一篇    下一篇

两结点简支的弹性基础框架的变形分析

李华东1,朱锡2,梅志远2,张颖军2   

  1. 1. 海军工程大学船舶与动力学院102教研室
    2.
  • 收稿日期:2010-06-11 修回日期:2010-09-06 出版日期:2011-02-15 发布日期:2011-03-03
  • 通讯作者: 李华东 E-mail:lhd0727@163.com

DEFORMATION ANALYSIS OF ELASTIC FOUNDATION FRAME WITH TWO SIMPLY SUPPORTED NODES

Hua-Dong LI 2, 2, 2   

  • Received:2010-06-11 Revised:2010-09-06 Online:2011-02-15 Published:2011-03-03
  • Contact: Hua-Dong LI E-mail:lhd0727@163.com

摘要: 基于初参数法, 研究了均布载荷作用下、两结点简支的弹性基础闭合框架的变形与内力 分布规律. 首先给出了两端弹性支撑的有限长弹性基础梁的挠曲线计算式, 根据结构的边界 条件和对称特性, 不考虑两结点处的位移边界条件, 取出一个局部结构进行了分析; 进而利 用位移和内力的边界条件确定了局部结构的初参数, 并根据结构的对称性得出了整个结构的 内力分布; 最后按照整个结构的位移边界条件, 对以上位移计算结果进行修正, 得出了框架 实际的挠度解析计算式.

关键词: 简支

Abstract: Based on the initial parameter method, this paper studies the deformation and stress distributions of elastic foundation frame subjected to uniform pressure and with two nodes simply supported. Firstly, the calculation formula for deflections of a finite-length elastic foundation beam with elastic support at both ends is derived. Based on the boundary conditions and the symmetry of the structure, a local structure is considered without taking account of the displacement boundary conditions at the two simply supported nodes. The initial parameter of the local structure is obtained according to the boundary conditions of the displacement and the internal force, then, the distribution of stresses of the whole structure is obtained based on the symmetry. The calculation formulas of the real deflection for the frame are obtained, modified by the foregoing displacement distribution according to the displacement boundary conditions.

Key words: simply supported