Fail-safe topology optimization of continuum structures with fundamental frequency constraints based on the ICM method  

作　　者：Jia-Zheng Du Fan-Wei Meng Yun-Hang Guo Yun-Kang Sui 

机构地区：[1]College of Mechanical Engineering and Applied Electronics Technology,Beijing University of Technology,Beijing 100124,China [2]State Key Laboratory of Structural Analysis for Industrial Equipment.Department of Engineering Mechanics,Dalian University of Technology,Dalian 116023,China

出　　处：《Acta Mechanica Sinica》2020年第5期1065-1077,I0003,共14页力学学报（英文版）

基　　金：the National Natural Science Foundation of China(Grant 11872080).

摘　　要：It is an important topic to improve the redundancy of optimized configuration to resist the local failure in topology optimization of continuum structures.Such a fail-safe topology optimization problem has been solved effectively in the ficld of statics.In this paper,the fail-safe topology optimization problem is extended to the field of frequency topology optimization.Based on the independent continuous mapping(ICM)method,the model of fail-safe topology optimization is established with the objective of minimal weight integrating with the discrete condition of topological variables and the constraint of the fundamental frequency.The fail-safe optimization model established above is substituted by a sequence of subproblems in the form of the quadratic program with exact second-order information and solved efficiently by the dual sequence quadratic programming(DSQP)algorithm.The numerical result reveals that the optimized fail-safe structure has more complex configuration and preserved materials than the structure obtained from the traditional frequency topology optimization,which means that the optimized fail-safe structure has higher redundancy.Moreover,the optimized fail-safe structure guarantees that the natural frequency meets the constraint of fundamental frequency when the local failure ocurs,which can avoid the structural frequency to be sensitive to local failure.The fail-safe optimirzation topology model is proved effective and feasible by four numerical examples.

关 键 词：FAIL-SAFE Frequency constraints Topology optimization Independent continuous mapping method 

分 类 号：O344.1[理学—固体力学]