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 .
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.
出处
《固体力学学报》
CAS
CSCD
北大核心
2004年第2期186-190,共5页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金 ( 10 2 0 2 0 0 6)资助
