频段激励下结构阻尼系统的拓扑优化方法  

Topology optimization method of structural damped systems under harmonic excitations in a frequency interval

作　　者：赵旭奇 ZHAO Xu-qi(College of Mathematics and Computer Science,Jilin Normal University,Siping 136000,China)

机构地区：[1]吉林师范大学数学与计算机学院,吉林四平136000

出　　处：《吉林师范大学学报（自然科学版）》2023年第3期80-83,共4页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(11672118);吉林省自然科学基金项目(YDZJ202301ZYTS390)。

摘　　要：引入了结构阻尼系统简谐响应分析的高效计算新方法.在优化模型中,以工作频段内某一自由度位移振幅的积分作为目标函数,利用伴随变量法进行灵敏度分析.数值实验表明,相对比精确方法,本文的方法不仅显著减少了计算时间,并且保证了结果的准确性.An efficient calculation method for harmonic response of structurally damped systems was introduced.In the optimization model,the integral of displacement amplitude of a certain degree of freedom in a frequency interval was taken as the objective function,and the adjoint variable method was used for sensitivity analysis.Numerical experiments showed that,compared with the accurate method,the proposed method not only significantly reduced the calculation time,but also ensured the accuracy of the results.

关 键 词：拓扑优化 结构阻尼 模态叠加 自适应 

分 类 号：O342[理学—固体力学]