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Topology Optimization of a Linear Piezoelectric Micromotor Using the Smoothed Finite Element Method

Mohsen Sadeghbeigi Olyaie1, Mohammad Reza Razfar2, Semyung Wang3, Edward J. Kansa4
Corresponding author, Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran, Email: m.sadeghbeigi@aut.ac.ir
Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran, Email: razfar@aut.ac.ir
School of Mechatronics, Gwangju Institute of Science and Technology, Gwangju, South Korea, Email: smwang@gist.ac.kr
Department of Mechanical and Aeronautical Engineering, University of California-Davis, Davis, CA 95616, USA, Email: ejkansa@ucdavis.edu

Computer Modeling in Engineering & Sciences 2011, 82(1), 55-82. https://doi.org/10.32604/cmes.2011.082.055

Abstract

This paper presents the topology optimization design for a linear micromotor, including multitude cantilever piezoelectric bimorphs. Each microbeam in the mechanism can be actuated in both axial and flexural modes simultaneously. For this design, we consider quasi-static and linear conditions, and the smoothed finite element method (S-FEM) is employed in the analysis of piezoelectric effects. Certainty variables such as weight of the structure and equilibrium equations are considered as constraints during the topology optimization design process, then a deterministic topology optimization (DTO) is conducted. To avoid the overly stiff behavior in FEM modeling, a relatively new numerical method known as the cell-based smoothed finite element method (CS-FEM, as a branch of S-FEM) is introduced for our DTO problem. The topology optimization procedure is implemented using a solid isotropic material with a penalization (SIMP) approximation and a method of moving asymptotes (MMA) optimizer. Because of the higher efficiency and accuracy of S-FEMs with respect to standard FEMs, numerical results of our DTO analysis using a softer CS-FEM are substantially improved, compared to FEMs using quadrilateral elements (Q4) and triangular elements (T3) when the same sets of nodes are used.

Keywords

Topology Optimization, Smoothed Finite Element Method, Linear Micromotor, Piezoelectric

Cite This Article

Olyaie, M. S., Razfar, M. R., Wang, S., Kansa, E. J. (2011). Topology Optimization of a Linear Piezoelectric Micromotor Using the Smoothed Finite Element Method. CMES-Computer Modeling in Engineering & Sciences, 82(1), 55–82.

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This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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