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.
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.
出处
《力学与实践》
CSCD
北大核心
2011年第1期29-34,共6页
Mechanics in Engineering
基金
国家自然科学基金资助项目(50979110)
关键词
弹性基础
均布载荷
初参数法
简支
elastic foundation
uniform pressure
initial parameter method
simply supported
