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A guide-weight criterion-based topology optimization method for maximizing the fundamental eigenfrequency of the continuum structure

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Abstract

This paper first introduces the guide-weight criterion into the topology optimization problems for maximization of the fundamental eigenfrequency of vibrating continuum structures. The traditional solid isotropic material with penalization model is modified to eliminate the artificial localized modes. Based on this modified model, the iteration formula of the design variables is derived using the guide-weight criterion. An iterative mass control strategy is adopted to satisfy the equality constraint on the final mass and to stabilize the iteration process. Additionally, a mass preserving density filter based on Heaviside function is used to solve the gray transition problem. Several typical examples are used to validate the proposed method. Numerical results show that the proposed method is capable of achieving iterative convergence and clear profiles of topologies; meanwhile, the optimal results obtained by the proposed method agree well with those obtained by the commonly used bi-directional evolutionary structural optimization (BESO) method. In particular, the proposed method has a faster convergence rate than the BESO method.

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Funding

This work was supported by the National Key Research and Development Program of China (Grant Number 2018YFE0126200), the National Natural Science Foundation of China (Grant Number 91748202), and the China Postdoctoral Science Foundation (Grant Number 2020M670150).

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Authors and Affiliations

  1. School of Mechatronical Engineering, Beijing Institute of Technology, Beijing, 100081, China

    Jingping Liao, Gao Huang, Xuechao Chen, Zhangguo Yu & Qiang Huang

  2. Beijing Advanced Innovation Center for Intelligent Robots and Systems, Beijing Institute of Technology, Beijing, 100081, China

    Jingping Liao, Gao Huang, Xuechao Chen, Zhangguo Yu & Qiang Huang

Authors
  1. Jingping Liao
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  2. Gao Huang
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  3. Xuechao Chen
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  4. Zhangguo Yu
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  5. Qiang Huang
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Corresponding author

Correspondence to Xuechao Chen.

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Replication of results

The details of the proposed method and all necessary parameters are included in the paper, so the results in this paper can be reproduced. The ANSYS APDL codes for all examples are available from the corresponding author with reasonable request.

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Responsible editor: Pingfeng Wang

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Liao, J., Huang, G., Chen, X. et al. A guide-weight criterion-based topology optimization method for maximizing the fundamental eigenfrequency of the continuum structure. Struct Multidisc Optim 64, 2135–2148 (2021). https://doi.org/10.1007/s00158-021-02971-7

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  • DOI: https://doi.org/10.1007/s00158-021-02971-7

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