| 隋允康,张立新,杜家政.对偶法求解应力与位移约束不同显式的优化模型[J].计算力学学报,2007,24(5):560~564 |
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| 对偶法求解应力与位移约束不同显式的优化模型 |
| Duality solution to optimization model with stress and displacement constraints in different approximate forms |
| 修订日期：2005-07-12 |
| DOI：10.7511/jslx20075110 |
| 中文关键词: 应力显式的内力处理,响应面法,对偶规划,二次规划 |
| 英文关键词:explicit stress handled by internal force,response surface methodology,dual programming,quadratic programming |
| 基金项目:国家自然科学基金(10472003)，北京市自然科学基金(3042002)，北京市教委(KM200410005019)资助项目 |
| 隋允康 张立新 杜家政 |
| 北京工业大学工程数值模拟中心 北京100022 |
| 摘要点击次数: 1523 |
| 全文下载次数: 8 |
| 中文摘要: |
| 基于响应面法,通过内力将应力约束显式化为正变量的一阶近似,位移约束采用倒变量一阶近似,建立以桁架结构重量最小为目标的截面优化模型,采用对偶规划理论转化为拟无约束模型,采用序列二次规划算法求解。此方法同应力约束零阶近似和一阶近似(使用响应面方法显式化)等方法进行了算例比较,表明本文的优化模型有较好的求解效率。 |
| 英文摘要: |
| Based on Response Surface Methodology,stress constraints are linearized in terms of direct variables through the handling of internal force,and displacement constraints are approximated in first-order form dependent on reciprocal variables.The cross-sectional optimization model of truss with minimal weight is transformed into quasi-unbownded model using the dual programming theory,which can be solved by sequential quadratic programming algorithm.Its computational efficiency is compared to the approaches of zero-order and first-order approximation of stress constraints(also expressed explicitly by RSM) through several numerical examples,which show the proposed method has advantages in some aspects. |
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