四边简支正放四角锥网架结构分析的位移试函数方法  

A trial function for displacement analysis of orthogonal square pyramid space grids simply supported on four sides

作　　者：赵浩博 张志宏[1] ZHAO Hao-bo;ZHANG Zhi-hong(College of Civil Engineering,Shanghai Normal University,Shanghai 201418,China)

机构地区：[1]上海师范大学建筑工程学院,上海201418

出　　处：《空间结构》2021年第4期33-37,共5页Spatial Structures

基　　金：上海市自然科学基金项目(13ZR1430500)。

摘　　要：四边简支矩形平面正放四角锥网架是一种最为常见的网架结构,传统的适用于手算的连续化计算分析方法主要包括等代正交桁架梁方法、拟板法、拟夹层板法等.其中,拟夹层板法是最为精确的估算方法,但高阶偏微分方程的求解稍显繁琐.本文重新整理、验算了我国第一个网架结构工程实例——上海师范学院球类馆(现上海师范大学徐汇校区球类馆,1964年建成,现今仍在使用).依据薄板小挠度理论的拟夹层板法虽然可以得出特定长宽比的平板网架的挠度值,但偏微分方程的双级数解收敛较慢.为此,提出整体连续化位移试函数方法用于该类网架结构的变形计算,可进一步简化计算.该方法思路简单且计算量小,可用于实际工程方案设计阶段的估算.Four-side simply supported orthogonal square pyramid grid structures is commonly used in practical engineering.The traditional manual calculation methods mainly include equivalent orthogonal truss method,plate analogy method,sandwich plate analogy method and so on.Among them,the sandwich plate analogy method is the most accurate one.However,the solution of high-order partial differential equations is slightly tedious.This paper re-studies the first steel space grids roof in China——Shanghai Normal Institute Ball Hall(now the Shanghai Normal University Xuhui Campus Ball Hall,built in 1964 and still in use till now).The sandwich plate analogy method based on the hypothesis of small deflection theory of plates can obtain the deflection value with specific aspect ratios,but the biharmonic series solution of the partial differential equation converges slowly.Therefore,this paper proposes a trial displacement function for calculation of deformation of this type of grid structures,which can further simplify the calculation process.This idea is simple to reduce manual calculation work.It can be adopted for estimation at the stage of scheme design in practical engineering.

关 键 词：网架结构 拟夹层板法 试函数 荷载分析 

分 类 号：TU356[建筑科学—结构工程]