The Research of Optimization Algorithm of Dynamic Topology Optimization Model of Continuum Structure Based on the ICM Method

Abstract:

In this paper, we mainly focus on the structural optimal design of dynamics for continuum structures, and aim at constructing the topological optimal formulation by using the ICM (Independent, Continuum and Mapping) method, which is considering weight as objective function and fundamental eigenfrequency as constraint. The local model is removed by selecting suitable filter function. And two algorithms, dual sequential quadratic programming (DSQP) and global convergent method of moving asymptotes (GCMMA) algorithm, were used to solve the mathematic optimal model. Finally, numerical example is provided to demonstrate the validity and effectiveness of the ICM method and compare the optimization results of two optimization algorithms. The results show that both optimization algorithms can solve the mathematics optimization model effectively.

• Periodical: Applied Mechanics and Materials (Volumes 380-384)
• Pages: 1804-1807
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.380-384.1804
• Online since: August 2013
• Authors: Yan Ming Zhang, Hong Ling Ye, Yao Ming Li, Yun Kang Sui
• Keywords: DSQP, GCMMA, ICM Method, Optimization Algorithm, Topology Optimization

References

[1] H. Qiu, Y. Sui, H. Ye: Acta Mechanica Solida Sinica. Vol. 3(2) (2012), p.189 (in Chinese).

[2] H. Ye, J. Shen, Y. Sui: Chinese Journal of Theoretical and Applied Mechanics. Vol. 44(6) (2012), p.1037 (in Chinese).

[3] Y. Sui, in: Transformation and Optimization—New Developments of Structural Synthesis Method, (Dalian University of Technology Press, Dalian 1996) (in Chinese).

[4] Y. Sui, X. Peng: Acta Mechanica Solida Sinica. Vol. 28(2) (2007), pp.145-150 (in Chinese).

[5] Svanberg. K: SIAM Journal on Optimization. Vol. 12(2) (2002), p.555.