同济大学学报（自然科学版）2012，Vol.40Issue(9)：1294-1299,6.DOI:10.3969/j.issn.0253-374x.2012.09.003
单层网壳结构稳定性分析的随机缺陷模态迭加法
Stochastic Imperfection Mode Superposition Method for Stability Analysis of Single-layer Lattice Domes
摘要
Abstract
College of Civil Engineering and Architecture, Guangxi University, Nanning 530004, China;Key Laboratory of Engineering Disaster Prevention and Structural Safety of the Ministry of Education, Guangxi University, Nanning 530004, China; 3. College of Civil Engineering, Tongji University, Shanghai 200092, China; 4. Department of Housing and Urban-Rural Development, Guangxi Autonomous Zhuang Region, Nanning 530028, China) Abstract: Based on Timeshenko beam theory and stochastic imperfection mode, the stochastic imperfection mode superposition method was proposed for single layer lattice domes. First tangent stiffness matrix for Timeshenko beam was deduced. Then stochastic imperfection mode was set up with participating parameters of modes obtained by eigenvalue analysis. Then, a nonlinear stability analysis was made on single-layer lattice dome with stochastic imperfection. And then the stochastic imperfection mode superposition method was proposed. Finally, an example verifies that compared with traditional methods, smaller samples are resorted to with the proposed method. The proposed theory and algorithm proves to be correct, effective in stability analysis of single-layer lattice with dome stochastic imperfection.关键词
单层网壳结构/随机缺陷模态迭加法/最不利缺陷模式/稳定承载力/Timeshenko梁理论Key words
single-layer lattice dome/ stochastic imperfection mode superposition method/ the least favorable distribution of imperfection/ critical buckling load/ Timeshenko beam theory分类
建筑与水利引用本文复制引用
刘慧娟,罗永峰,杨绿峰,张伟..单层网壳结构稳定性分析的随机缺陷模态迭加法[J].同济大学学报（自然科学版）,2012,40(9):1294-1299,6.基金项目
国家自然科学基金(50768001) （50768001）
广西自然科学基金(桂科自0991020Z) （桂科自0991020Z）
