Abstract
In this paper, a new hybrid topology optimization named ESO–SIMP which couples evolutionary structural optimization (ESO) and SIMP is proposed. In ESO–SIMP method, the relative densities of elements are taken as the design variables, and the mean compliance is selected as the objective function. The mathematical model of topology optimization is built, and the iterative formula based on optimization criteria is obtained. A filtering function using strain energy as sensitivity number is introduced to prevent checkerboards and to eliminate mesh independency. In the process of each iteration, elements whose relative densities are less than or equal to rejection ratio are removed from the design domain and all remained elements are entered into the next iteration. The ESO method and the SIMP method are merged together perfectly in this paper. It is found that the new ESO–SIMP method has many advantages over the ESO method and the SIMP method in terms of efficiency and robustness.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Xie YM, Steven GP (1993) A simple evolutionary procedure for structural optimization. Comput Struct 49:885–896
Yang XY, Xie YM, Steven GP, Querin, OM (1999) Bidirectional evolutionary method for stiffness optimization. AIAA J 37(11):1483–1488
Bendsøe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1:193–202
Zhou M (1991) Rozvany Gin, the COC algorithm, part II: topological, geometry and generalized shape optimization. Comp Methods Appl Mesh Eng 89:197–224
Sethian JA (1999) Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials Science. Cambridge University Press
Osher S, Fedkiw R (2003) Level set methods and dynamic implicit surfaces. Springer, New York
Querin QM, Steven GP (1998) Evolutionary structural optimization (ESO) using a bidirectional algorithm. Eng Comput 15:1031–1048
Huang X, Xie YM (2007) Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method. Finite Elem Anal Des 43:1039–1049
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Jiao, H., Zhou, Q., Fan, S., Li, Y. (2015). A New Hybrid Topology Optimization Method Coupling ESO and SIMP Method. In: Proceedings of China Modern Logistics Engineering. Lecture Notes in Electrical Engineering, vol 286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44674-4_35
Download citation
DOI: https://doi.org/10.1007/978-3-662-44674-4_35
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-44673-7
Online ISBN: 978-3-662-44674-4
eBook Packages: EngineeringEngineering (R0)