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
• 来源期刊: 力学学报（英文版）
• 年，卷（期）: 2020,（5）
• 所属期刊栏目: SOLID MECHANICS
• 页码范围: 1065-1077
• 页数: 13页
• 语种: 英文

摘要

It is an important topic to improve the redundancy of optimized configuration to resist the local failure in topology optimi-zation of continuum structures.Such a fail-safe topology optimization problem has been solved effectively in the field 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 con-figuration 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 occurs,which can avoid the structural frequency to be sensitive to local failure.The fail-safe optimization topology model is proved effective and feasible by four numerical examples.