摘要
本文提出了膜结构形状确定的三类问题：第一类问题是给定边界条件的等应力最小曲面确定问题。第二类问题是给定边界条件的平衡曲面确定问题，第三类问题是给定曲面几何的最均匀应力分布确定问题。对第一、第二类问题，本文采用动力松弛方法求解；对第三类问题，本文提出了最小二乘法的计算理论和求解方法。数值算例表明了本文方法的实用性和优越性。本文方法具有概念明晰、推导简单和计算快速的优点。
Three kinds of form finding problems of membrane structures are discussed in this paper.The first kind is to find the minimum surface with identical stress distribution,the second kind is to find the equilibrium surface that satisfies the given boundaries,and the third is the finding of the uniform stress surface that can equilibrate under given surface geometry.The dynamic relaxation method is adopted to solve the first and the second problems while the least square method is used in solving the third problem.Numerical studies show that the method proposed in this paper can solve successfully form- finding problems of membrane structures.
出处
《建筑结构学报》
EI
CAS
CSCD
北大核心
2000年第5期33-40,共8页
Journal of Building Structures
基金
上海市教育基金委员会曙光基金!(97SG04)
关键词
膜结构
形状确定
最小曲面
计算
求解方法
membrane structures,shape finding,minimum surface,uniform stress surface, equilibrium surface
