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Reliability Based Topology Optimization of a Linear Piezoelectric Micromotor Using the Cell-Based Smoothed Finite Element Method

Mohsen Sadeghbeigi Olyaie1, Mohammad Reza Razfar2, Edward J. Kansa3

Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran, Email:m.sadeghbeigi@aut.ac.ir
Corresponding author, Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran, Email: razfar@aut.ac.ir
Department of Mechanical and Aeronautical Engineering, University of California-Davis, Davis,CA 95616, USA, Email: ejkansa@ucdavis.edu

Computer Modeling in Engineering & Sciences 2011, 75(1), 43-88. https://doi.org/10.3970/cmes.2011.075.043

Abstract

This paper presents integration of reliability analysis with topology optimization design for a linear mircroactuator, including multitude cantilever piezoelectric bimorphs. Each microbimoph in the mechanism can be actuated in both axial and flexural modes simultaneously. We consider quasi-static and linear conditions, and the smoothed finite element method (S-FEM) is employed in the analysis of piezoelectric effects. Since microfabrication methods are used for manufacturing this type of actuator, uncertainty variables become very important. Hence, these variables are considered as constraints during our topology optimization design process and reliability based topology optimization (RBTO) 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) has been introduced first time for our RBTO problem. Reliability analysis has been conducted using performance measure approach (PMA), advanced mean value (AMV) and first order reliability method (FORM). After finding random design points, topology optimization procedure is implemented using a solid isotropic material with a penalization (SIMP) and method of moving asymptotes (MMA) optimizer. Numerical tests show that the accuracy and efficiency of numerical results using softer CS-FEM in RBTO problems are substantially improved compared to the FEM.

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Cite This Article

APA Style
Olyaie, M.S., Razfar, M.R., Kansa, E.J. (2011). Reliability based topology optimization of a linear piezoelectric micromotor using the cell-based smoothed finite element method. Computer Modeling in Engineering & Sciences, 75(1), 43-88. https://doi.org/10.3970/cmes.2011.075.043
Vancouver Style
Olyaie MS, Razfar MR, Kansa EJ. Reliability based topology optimization of a linear piezoelectric micromotor using the cell-based smoothed finite element method. Comput Model Eng Sci. 2011;75(1):43-88 https://doi.org/10.3970/cmes.2011.075.043
IEEE Style
M.S. Olyaie, M.R. Razfar, and E.J. Kansa "Reliability Based Topology Optimization of a Linear Piezoelectric Micromotor Using the Cell-Based Smoothed Finite Element Method," Comput. Model. Eng. Sci., vol. 75, no. 1, pp. 43-88. 2011. https://doi.org/10.3970/cmes.2011.075.043



cc 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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