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用杆件截面递增迭代法对位移约束桁架进行优化设计
引用本文:刘树堂.用杆件截面递增迭代法对位移约束桁架进行优化设计[J].广州大学学报(自然科学版),2009,8(1).
作者姓名:刘树堂
作者单位:广州大学,土木工程学院,广东,广州,510006
基金项目:广州市属高校科技计划 
摘    要:采用杆件截面递增迭代法,对具有位移约束的桁架进行优化设计.在迭代公式中,杆件截面增量的权重采用杆件各自的应变比能,保证了迭代收敛的稳定性.为提高优化设计的收敛速度,提出一种迭代加速因子,它既保证了优化设计解的精度又提高了收敛速度.通过对三杆平面桁架、n节间平面桁架进行优化设计研究,验证了该方法的有效性,为大型结构优化设计奠定了基础.

关 键 词:杆件截面递增迭代法  桁架结构优化设计  应变比能准则  位移约束

Optimization of the truss with displacement constraint using member-area-increasing iteration
LIU Shu-tang.Optimization of the truss with displacement constraint using member-area-increasing iteration[J].Journal og Guangzhou University:Natural Science Edition,2009,8(1).
Authors:LIU Shu-tang
Institution:School of Civil Engineering;Guangzhou Univercity;Guangzhou 510006;China
Abstract:In this paper,the truss with displacement constraints is optimized by member-area-increasing iteration.In iteration formulation,the member's strain ratio energy is used as the weight of member area increment,which ensures the iteration stability.For the purpose of accelerating iteration,acceleration factors are proposed which not only ensure the precision of solution,but also accelerate iteration.Three-member truss and n-panel truss are optimized using the proposed method,and effectiveness of the proposed m...
Keywords:member-area-increasing iteration  optimization design of truss structure  strain ratio energy criterion  displacement constraint  
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