Trust region based moving asymptotes method: A stabilized optimizer for stress-constrained topology optimization

Abstract

Inconsistent topologies and oscillations during iterations are commonly observed when solving stress-constrained problems, indicating inadequate stability in topology optimization. The trust region based moving asymptotes (TRMA) method is proposed in this paper. To comprehensively investigate the stability of the TRMA method, the Trinity Evaluation Framework is proposed in this paper. It focuses on three types of dependencies in topology optimization, i.e. mesh dependence, parameter dependence, and initial topology dependence. The corresponding evaluation vector is proposed to measure the stability of the TRMA method. Numerical examples are given, indicating strong stability of the TRMA method in topology optimization of stress-constrained problems.

Keywords:

• Method of Moving Asymptotes
• trust region
• augmented Lagrange function
• topology optimization
• stress-constrained problems

Acknowledgments

The authors would like to express our sincere gratitude to the language model provided by ChatGPT for its valuable assistance in proofreading and refining the language of this paper. The authors appreciate the contributions in refining the content and ensuring the accuracy of our ideas. Its assistance has been instrumental in producing a more polished and professional manuscript.

Disclosure statement

The authors declare that they have no conflict of interest.

Additional information

Funding

This work was supported by the Natural Science Foundation of Zhejiang Province (No. LD21A020001) and the National Natural Science Foundation of China (Nos. 12192210, 12192211, and 11872329). This work was also partly supported by the specialized research projects of Huanjiang Laboratory, Zhuji, Zhejiang Province.