冲击载荷下结构拓扑优化设计与动态响应分析  

Structural Topology Optimization Design and Dynamic Response Analysis Under Impact Loading

作　　者：史峰源 李世强 刘志芳[1,2] SHI Fengyuan;LI Shiqiang;LIU Zhifang(Institute of Applied Mechanics,College of Mechanical and Vehicle Engineering,Taiyuan University of Technology,Taiyuan,Shanxi 030024,China;Shanxi Key Laboratory of Material Strength and Structural Impact,Taiyuan University of Technology,Taiyuan,Shanxi 030024,China)

机构地区：[1]太原理工大学机械与运载工程学院,应用力学研究所,山西太原030024 [2]太原理工大学山西省材料强度与结构冲击重点实验室,山西太原030024

出　　处：《北京理工大学学报》2022年第6期578-587,共10页Transactions of Beijing Institute of Technology

基　　金：国家自然科学基金资助项目(12072219,11772215,11772216)。

摘　　要：为解决结构动态冲击载荷拓扑优化计算过程复杂、计算效率低,而且难以收敛等问题,建立了一种在冲击载荷下结构的拓扑优化方法.将双向渐进结构拓扑优化方法和等效静力载荷优化方法相结合,同时将权值法和材料插值模型引入其中.采用内外双层循环的方式实现了冲击载荷下单相材料和双相复合材料/结构的拓扑优化.通过两个算例验证了方法的可行性与高效性,并且对优化后的结构进行动态响应分析,分析结果表明与传统方法相比,采用新方法优化得到的结构,在冲击载荷下承载能力更好,说明该方法适用于冲击载荷下结构的拓扑优化设计,且优化流程简洁,计算效率高,优化平稳高效.A structural topology optimization method was established to solve the problems of complicated calculation process,low calculation efficiency,and convergence difficulty of structural topology optimization under dynamic impact loading.Bi-directional evolutionary structural optimization and the equivalent static loads method structural optimization were combined,and the weight method and the material interpolation model were introduced.The topology optimization of single and double phase composite materials and structures were realized by an optimization algorithm with nested loop structure for impact loading.According to two examples,the feasibility and efficiency of the method were verified,and the dynamic response of the optimized structure was analyzed.The analysis results show that the structure optimized by the improved method could better adapt to impact loading.This method is more suitable for topology optimization design under impact load.The optimization process is simple with a higher calculation efficiency,and the optimization is stable and efficient.

关 键 词：拓扑优化 双向渐进结构优化 等效静力载荷优化 动态响应 

分 类 号：O347.1[理学—固体力学]