Topology optimization of resonating structures using SIMP method

The present paper is concerned with the layout optimization of resonating actuators using topology optimization techniques. The goal of the optimization is a maximization of the magnitude of steady-state vibrations for a given excitation frequency. The problem formulation includes an external viscous damper at the output port which models a working load on the structure. Copyright © 2002 John Wiley & Sons, Ltd.

[1]  In-Won Lee,et al.  NUMERICAL METHOD FOR SENSITIVITY ANALYSIS OF EIGENSYSTEMS WITH NON-REPEATED AND REPEATED EIGENVALUES , 1996 .

[2]  O. Sigmund,et al.  Design and fabrication of compliant micromechanisms and structures with negative Poisson's ratio , 1996, Proceedings of Ninth International Workshop on Micro Electromechanical Systems.

[3]  M. Bendsøe,et al.  Material interpolation schemes in topology optimization , 1999 .

[4]  Shinji Nishiwaki,et al.  Design of flextensional transducers using homogenization design method , 1999, Smart Structures.

[5]  B. Bourdin.  Filters in topology optimization , 2001 .

[6]  Ole Sigmund,et al.  Design of multiphysics actuators using topology optimization - Part I: One-material structures , 2001 .

[7]  Richard B. Nelson,et al.  Simplified calculation of eigenvector derivatives , 1976 .

[8]  I. U. Ojalvo,et al.  Efficient Computation of Mode-Shape Derivatives for Large Dynamic Systems , 1986 .

[9]  Jan H. J. Fluitman,et al.  Performance of thermally excited resonators , 1990 .

[10]  Larry L. Howell,et al.  On the Nomenclature, Classification, and Abstractions of Compliant Mechanisms , 1994 .

[11]  Ole Sigmund,et al.  Topology synthesis of large‐displacement compliant mechanisms , 2001 .

[12]  Noboru Kikuchi,et al.  Optimal topology design of structures under dynamic loads , 1999 .

[13]  W. R. Miller,et al.  Vibrations Theoretical Methods , 1966 .

[14]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[15]  M. Bendsøe.  Optimal shape design as a material distribution problem , 1989 .

[16]  D. Tortorelli,et al.  Design sensitivity analysis: Overview and review , 1994 .

[17]  Ole Sigmund,et al.  On the Design of Compliant Mechanisms Using Topology Optimization , 1997 .

[18]  N. Kikuchi,et al.  Solutions to shape and topology eigenvalue optimization problems using a homogenization method , 1992 .

[19]  Noboru Kikuchi,et al.  Optima topology design of structures under dynamic loads , 1999 .

[20]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[21]  N. Kikuchi,et al.  Topological design for vibrating structures , 1995 .

[22]  Sam Calmes,et al.  Resonating large-angle and low-consumption micromachined optical scanner , 1998, Photonics West.

[23]  K. Svanberg.  The method of moving asymptotes—a new method for structural optimization , 1987 .

[24]  Wensyang Hsu,et al.  An electro-thermally and laterally driven polysilicon microactuator , 1997 .

[25]  N. Olhoff,et al.  Multiple eigenvalues in structural optimization problems , 1994 .

[26]  N. Kikuchi,et al.  Structural design for obtaining desired eigenfrequencies by using the topology and shape optimization method , 1994 .

[27]  Ren-Jye Yang,et al.  Multidiscipline topology optimization , 1997 .

[28]  Noboru Kikuchi,et al.  Design of piezoelectric transducers using topology optimization , 1999 .

[29]  N. L. Pedersen.  Maximization of eigenvalues using topology optimization , 2000 .

[30]  Michael Curt Elwenspoek,et al.  Comb-drive actuators for large displacements , 1996 .