| 膜结构形状确定的三类问题及其求解 |
| |
| 引用本文： | 张其林,张莉.膜结构形状确定的三类问题及其求解[J].建筑结构学报,2000,21(5):33-40. |
| |
| 作者姓名： | 张其林 张莉 |
| |
| 作者单位： | 同济大学土木工程学院!上海200092,同济大学土木工程学院!上海200092 |
| |
| 基金项目： | 上海市教育基金委员会曙光基金!(97SG04) |
| |
| 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。
|
| 关 键 词： | 均匀应力曲面 膜结构 平衡曲面 形状确定 最小曲面 |
| 收稿时间： | 2000-10-05 |
| 修稿时间： | 2000-10-05 |
Three Kinds of Shape Finding Problems and their Solutions for Membrane Structures |
| |
| HANG Qilin,ZHANG Li.Three Kinds of Shape Finding Problems and their Solutions for Membrane Structures[J].Journal of Building Structures,2000,21(5):33-40. |
| |
| Authors: | HANG Qilin ZHANG Li |
| |
| Affiliation: | ZHANG Qilin,ZHANG Li (Tongji University,Shanghai,China) |
| |
| Abstract: | 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. |
| |
| Keywords: | membrane structures shape finding minimum surface uniform stress surface equilibrium surface |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《建筑结构学报》浏览原始摘要信息 |
|
点击此处可从《建筑结构学报》下载全文 |
