Asian Congress of Structural and Multidisciplinary Optimization 2020 (ACSMO2020) May 24-28, 2020 / Seoul, Korea
Considerations on numerical results of topology optimization analysis for circular cylinder model acting internal pressure
Takahiko Kurahashi1*, Haruya Takahashi1 , Kenta Yoshihara1, Yuichi Otsuka2 and Atsushi Sasazaki3
1Department of Mechanical Engineering, Ngaoka University of Technology, 940-2188, Niigata, Japan
* Corresponding author: kurahashi@mech.nagaokaut.ac.jp
2Department of System Safety, Ngaoka University of Technology, 940-2188, Niigata, Japan
3JMR Cooperation, 959-0511, Niigata, Japan
Abstract In this study, we present considerations on topology optimization results for circular cylinder model acting internal pressure. The three dimensional governing equation for linear elastic body is introduced, and discretization of the governing equation is carried out based on the weighted residual method using the hexahedral elements. The total strain energy is defined as the performance function, and the optimized shape is obtained based on the topology optimization analysis [1]. In the topology optimization analysis, we apply the adjoint variable method and the density method to obtain the optimized structure, and the iterative computation is performed by the optimally criteria method. In addition, the filtering technique for the gradient of the Lagrange function with respect to the density parameter is introduced to obtain the smoothed gradient distribution [2]. In numerical analysis, the straight tube and the bending tube models are employed as computational model, and some numerical experiments are carried out by changing the initial density parameter (See Fig.1).
Fig.1 Example of numerical results by topology optimization analysis in case that the density parameter is given as 0.7. If the density parameter is less than or equal to 0.2, elements aren’t shown. (Left hand side : Straight tube model, Right hand side : Bending tube model )
Acknowledgements
This work supported by a Grant-in-Aid for Science Research (C) Grant No. 18K03897 and research grant related to
“Medical-engineering joint business promotion”. The topology optimization analysis was mainly carried out by using super computer system at the Institute of Information Technology, Kyusyu University. We wish to thank for all the persons who assisted us in this study.
References
1. Nishiwaki, S., Izui, K. and Kikuchi, N. Toplogy optimization (in Japanese), Maruzen, Tokyo, 2013.
2. Sigmud, O. On the design of compliant mechanism using topology optimization, Mech. Struct. Mach., Vol.25, 1997, pp.493-524.
