TY  - EJOU
AU  - Olyaie, Mohsen Sadeghbeigi  
AU  - Razfar, Mohammad Reza  
AU  - Wang, Semyung  
AU  - Kansa, Edward J. 

TI  - Topology Optimization of a Linear Piezoelectric Micromotor Using the Smoothed Finite Element Method
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2011
VL  - 82
IS  - 1
SN  - 1526-1506

AB  - 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.
KW  - Topology Optimization
KW  -  Smoothed Finite Element Method
KW  -  Linear Micromotor
KW  -  Piezoelectric

DO  - 10.32604/cmes.2011.082.055