Reliability-based topology optimization design of a linear piezoelectric micromotor using an optimum finite element method

被引:4
作者
Olyaie, Mohsen Sadeghbeigi [1 ]
Razfar, Mohammad Reza [1 ]
Wang, Semyung [2 ]
机构
[1] Amirkabir Univ Technol, Dept Mech Engn, Tehran, Iran
[2] Gwangju Inst Sci & Technol, Mechatron Sch, Kwangju, South Korea
关键词
Reliability-based topology optimization; smoothed finite element method; piezoelectric micromotor; STRUCTURAL RELIABILITY; SMART STRUCTURES;
D O I
10.1177/1748006X13490261
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This article presents reliability-based topology optimization design of a linear micromotor, including multitude cantilever piezoelectric microbimorphs. This design is considered for quasi-static and linear conditions, and a relatively new computational approach called the smoothed finite element method is applied. Since microfabrication methods are used for manufacturing this type of actuator, the uncertainty variables become very important. Hence, these variables are considered as constraints during our topology optimization design process and reliability-based topology optimization is conducted. To avoid the overly-stiff behavior in finite element method modeling, the cell-based smoothed finite element method (as a branch of smoothed finite element method) has been conducted for this problem. Here, after finding the most effective random design variables using the performance measure approach and first-order reliability approximation, the topology optimization procedure is implemented in order to find an optimum piezoelectric volume fraction (as an unknown constraint for the first step) using piezoelectric material with penalization and polarization model and method of moving asymptotes optimizer. After determining problem constraints, topology optimization design is followed. This algorithm is called reliability-based design optimization using independent approach. Numerical tests show that final characters of the optimized model using cell-based smoothed finite element methods are improved compared with standard finite element methods.
引用
收藏
页码:586 / 598
页数:13
相关论文
共 44 条
  • [1] Allik H., 1970, International Journal for Numerical Methods in Engineering, V2, P151, DOI 10.1002/nme.1620020202
  • [2] [Anonymous], 2013, Topology optimization: theory, methods, and applications
  • [3] On simultaneous optimization of smart structures - Part II: Algorithms and examples
    Begg, DW
    Liu, XJ
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 184 (01) : 25 - 37
  • [4] GENERATING OPTIMAL TOPOLOGIES IN STRUCTURAL DESIGN USING A HOMOGENIZATION METHOD
    BENDSOE, MP
    KIKUCHI, N
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 71 (02) : 197 - 224
  • [5] Advances in piezoelectric finite element modeling of adaptive structural elements: a survey
    Benjeddou, A
    [J]. COMPUTERS & STRUCTURES, 2000, 76 (1-3) : 347 - 363
  • [6] Strain smoothing in FEM and XFEM
    Bordas, Stephane P. A.
    Rabczuk, Timon
    Nguyen-Xuan, Hung
    Nguyen, Vinh Phu
    Natarajan, Sundararajan
    Bog, Tino
    Do Minh Quan
    Nguyen Vinh Hiep
    [J]. COMPUTERS & STRUCTURES, 2010, 88 (23-24) : 1419 - 1443
  • [7] Carbonari R. C., 2006, INT ABCM S SERIES ME, V2, P425
  • [8] Design of piezoelectric multi-actuated microtools using topology optimization
    Carbonari, RC
    Silva, ECN
    Nishiwaki, S
    [J]. SMART MATERIALS AND STRUCTURES, 2005, 14 (06) : 1431 - 1447
  • [9] ANALYSIS OF METHODS FOR DETERMINING ELECTROMECHANICAL COUPLING-COEFFICIENTS OF PIEZOELECTRIC ELEMENTS
    CHANG, SH
    ROGACHEVA, NN
    CHOU, CC
    [J]. IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL, 1995, 42 (04) : 630 - 640
  • [10] Chen JS, 2001, INT J NUMER METH ENG, V50, P435, DOI 10.1002/1097-0207(20010120)50:2<435::AID-NME32>3.0.CO