Asian Congress of Structural and Multidisciplinary Optimization 2020 (ACSMO2020) May 24-28, 2020 / Seoul, Korea
Topology optimization analysis of an automotive chassis part considering minimization of strain energy
Masaya Shimada*1, Masayuki Kishida2, Haruya Takahashi1, Kenta Yoshihara1 and Takahiko Kurahashi1
1Department of Mechanical Engineering, Nagaoka University of Technology, 940-2188, Nagaoka, Niigata, Japan
2Department of Science of Technology Innovation, Nagaoka University of Technology, 940-2188, Nagaoka, Niigata, Japan
* Corresponding author: [email protected]
Abstract In this study, we present some results of the topology optimization analysis for the model of an automotive chassis part. The purpose of this study is to minimize strain energy, and some numerical experiments are carried out with various initial density distribution. The performance function is defined by strain energy, and governing equations for linear elastic deformation is introduced to obtain displacement field. The adjoint variable method is applied to consider the governing equations for the minimization problem of the performance function, and the Lagrange function is obtained.
The stationary conditions are derived by the calculation of the first variation of the Lagrange function, and the relationship of self-adjoint is consequently obtained. The Young’s modulus is represented by the function of the density, and the gradient of the Lagrange function with respect to the density is calculated [1]. The density is updated based on the optimality criteria method by using the gradient value. In this analysis, the total mass is constant in each iterative calculation, and this condition is included as the constraint condition of the minimization of the performance function. In addition, the smoothing method of the gradient distribution is employed in the topology optimization analysis [2], [3]. In numerical experiments, the topology optimization analysis for an automotive chassis part is performed by changing the initial density value, and the relationship between the initial density value and the value of the performance function at final iteration is shown. An example of the optimized shape is shown in Fig.1.
Fig.1 Example of numerical result based on the topology optimization analysis
Acknowledgements This work was supported by a Grant-in-Aid for Science Research (C) Grant No. 18K03897 and funds for joint research between Oiles Corporation and Nagaoka University of Technology. Most of the topology optimization analysis was carried out using the supercomputer system at Kyushu University’s Institute for Information Technology. We engaged in extensive discussions with Mr. Kato and Mr. Kobayashi at Oiles Corporation about our practical experiments using the topology optimization model. We wish to thank all the persons who assisted us in this study.
References
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3. Nishiwaki, S. , Izui, K. and Kikuchi, N., Topology optimization (in Japanese), Maruzen, Tokyo, 2013.
