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桁架结构动力特性可靠性优化设计
引用本文:陈建军, 车建文, 马洪波, 戴君. 桁架结构动力特性可靠性优化设计[J]. 固体力学学报, 2001, 22(1): 54-60. doi: 10.3969/j.issn.0254-7805.2001.01.008
作者姓名:陈建军  车建文  马洪波  戴君
作者单位:西安电子科技大学电子机械学院,西安,710071;西安电子科技大学电子机械学院,西安,710071;西安电子科技大学电子机械学院,西安,710071;西安电子科技大学电子机械学院,西安,710071
基金项目:国家自然科学基金!(5950 0 2 96)资助
摘    要:对结构物理参数和几何尺寸同时具有随机性的桁架结构动力特性进行了分析,构建了以杆截面积为设计变量,结构重量极小化为目标函数,满足基频和频率禁区可靠性约束的结构动力优化设计数学模型,并对其中关切频率的估定、两种频率约束的统一表示等予以讨论,利用复合形法求解.最后给出了两个算例.

关 键 词:桁架结构  动力特性  可靠性约束  优化设计
修稿时间:1998-11-04

DYNAMIC OPTIMUM DESIGN BASED ON RELIABILITY FOR TRUSS STRUCTURES
DYNAMIC OPTIMUM DESIGN BASED ON RELIABILITY FOR TRUSS STRUCTURES[J]. Chinese Journal of Solid Mechanics, 2001, 22(1): 54-60. doi: 10.3969/j.issn.0254-7805.2001.01.008
Authors:Chen Jianjun Che Jianwen Ma Hongbo Dai Jun
Abstract:The problem of truss structure dynamic optimization with thereliability constraints of the frequency is studied. Considering the random ness of both physical parameters (elastic module and mass density) of structural materials and the geometric size of bars, the structure dynamic characteristics are analyzed based on probability. The distribution parameters of dynamic chara cteristic random variable are derived from the Rayleighs quotient. The dynamic optimization mathematical model of truss structure is developed with the reliab ility constraints of frequency and forbidden frequency domain. Finally, the corr esponding program system is designed and two examples are given.
Keywords:truss structure   dynamic characteristics   reliability constraint   optimization design
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