钢筋混凝土圆、环形板式基础外形尺寸优化设计  

Dimensional Optimization of Symmetrical Reinforced Circle Plates and Rings

作　　者：唐煌[1] 罗国强[1] 黄幼华[1] 

机构地区：[1]湖南大学土木工程系

出　　处：《湖南大学学报（自然科学版）》1998年第S1期146-150,共5页Journal of Hunan University:Natural Sciences

摘　　要：基于理想刚塑性材料极限设计的对耦原理，将准则优化方法中Ｍｏｒｌｅｙ最优曲率场准则与数学规划技术中Ｐｏｗｅｌ约束变尺度法结合起来，解决了钢筋混凝土圆形、环形板式基础外形尺寸的优化设计问题，实现了抗弯与抗冲切的同步优化．在现行设计规范包含的内侧解、平衡解两种优化解答之外，本文又推导出外侧解可以证明［１］，在实际工程条件下外侧解的适用范围更加广泛．由于实现了准则优化与数学规划的联合运用，从而极大地改进了优化求解的能力和效果．据此编制的优化程序收敛良好。Dimensional optimization of reinforced circle plates and rings subject to symmetrical loads is presented based on duality between limit analysis and limit design,employing a model combining Morley curvature field in layout optimization and Powell Constrained Variable Metric Algorithms(CVM) in NLP.Besides the inner solution and equilibrium solution are given.The result and effective of optimiztion has been improved much because of the combination of Optimality Criterion(OC) and Mathmatical Programming(MP).The structure capabilities of moment resistance and shear resistance are optimized simultaneously.A program based on the method has been written and is able to converge under any initial input and running parameters.

关 键 词：外形尺寸优化 准则优化 数学规划 极限设计 约束变尺度法 钢筋混凝土圆形环形板式基础 

分 类 号：TU48[建筑科学—结构工程]