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区间参数结构的动力响应优化
引用本文:吴杰, 陈塑寰. 区间参数结构的动力响应优化[J]. 固体力学学报, 2004, 25(2): 186-190. doi: 10.3969/j.issn.0254-7805.2004.02.012
作者姓名:吴杰  陈塑寰
作者单位:吉林大学南岭校区力学系,长春,130025; 吉林大学南岭校区力学系,长春,130025
基金项目:国家自然科学基金 ( 10 2 0 2 0 0 6)资助
摘    要:讨论区间参数结构的动态响应问题的区间优化方法利用摄动理论和函数区间扩张,将区间优化问题转化为近似的确定性优化问题由于区间设计变量的中值和不确定性半径均可取作优化参数,所以可得到比确定性优化更多的优化信息将该方法应用于桁架结构,算例表明该方法是有效的.

关 键 词:区间参数结构   区间特性矩阵   区间动力响应   区间优化
修稿时间:2002-12-10

DYNAMIC OPTIMIZATION FOR UNCERTAIN STRUCTURES USING INTERVAL METHOD
DYNAMIC OPTIMIZATION FOR UNCERTAIN STRUCTURES USING INTERVAL METHOD[J]. Chinese Journal of Solid Mechanics, 2004, 25(2): 186-190. doi: 10.3969/j.issn.0254-7805.2004.02.012
Authors:Wu Jie Chen Suhuan
Abstract:An interval optimizaqtion method for the dynamic response of structures with interval parameters is presented. The matrices of structures with interval parameters are given. Combining the interval extension with the perturbation, the method for interval dynamic response analysis is derived. The interval optimization problem is transformed into a corresponding deterministic one. Because the mean values and the uncertainties of the interval parameters can be elected as the design variables, more information of the optimization results can be obtained by the present method than that obtained by the deterministic one. A truss structure is analysed by the present method. The numerical results show that the method is effective.
Keywords:interval parameter system   interval optimization   interval extension of cuntion   dynamic interval response
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