Synthesis of Bistable Periodic Structures Using Topology Optimization and a Genetic

A formulation for the automatic synthesis of two-dimensional bistable, compliant periodic structures is presented, based on standard methods for topology optimization. The design space is parametrized using nonlinear beam elements and a ground structure approach. A performance criterion is suggested, based on characteristics of the load-deformation curve of the compliant structure. A genetic algorithm is used to find candidate solutions. A numerical implementation of this methodology is discussed and illustrated using simple examples.

[1]  M. Bendsøe,et al.  Optimization methods for truss geometry and topology design , 1994 .

[2]  Mary Frecker,et al.  Topological synthesis of compliant mechanisms using multi-criteria optimization , 1997 .

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

[4]  Harvey J. Greenberg,et al.  Automatic design of optimal structures , 1964 .

[5]  G. K. Ananthasuresh,et al.  Designing compliant mechanisms , 1995 .

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

[7]  L. Howell,et al.  A self-retracting fully compliant bistable micromechanism , 2003 .

[8]  Larry L. Howell,et al.  A Three Degree-of-Freedom Model for Self-Retracting Fully Compliant Bistable Micromechanisms , 2005 .

[9]  Matthew I. Campbell,et al.  On the Design Synthesis of Multistable Equilibrium Systems , 2004, DAC 2004.

[10]  Larry L. Howell,et al.  Identification of compliant pseudo-rigid-body four-link mechanism configurations resulting in bistable behavior , 2003 .

[11]  Sridhar Kota,et al.  Topological Synthesis of Compliant Mechanisms Using Nonlinear Beam Elements , 2004 .

[12]  Mary Frecker,et al.  Dynamic Topology Optimization of Compliant Mechanisms and Piezoceramic Actuators , 2004 .

[13]  J. Lang,et al.  A curved-beam bistable mechanism , 2004, Journal of Microelectromechanical Systems.

[14]  G. K. Ananthasuresh,et al.  Topology Synthesis of Compliant Mechanisms for Nonlinear Force-Deflection and Curved Path Specifications , 2001 .

[15]  Larry L. Howell,et al.  Design Optimization of a Fully-Compliant Bistable Micro-Mechanism , 2001, Micro-Electro-Mechanical Systems (MEMS).

[16]  Kang Tai,et al.  Design of structures and compliant mechanisms by evolutionary optimization of morphological representations of topology , 2000 .

[17]  Roderic S. Lakes,et al.  Extreme stiffness systems due to negative stiffness elements , 2004 .

[18]  Cv Clemens Verhoosel,et al.  Non-Linear Finite Element Analysis of Solids and Structures , 1991 .

[19]  A. Saxena.  Synthesis of Compliant Mechanisms for Path Generation using Genetic Algorithm , 2005 .

[20]  T. E. Bruns,et al.  Numerical methods for the topology optimization of structures that exhibit snap‐through , 2002 .

[21]  Larry L. Howell,et al.  Bistable Configurations of Compliant Mechanisms Modeled Using Four Links and Translational Joints , 2004 .

[22]  G. K. Ananthasuresh,et al.  Mechanical Design of Compliant Microsystems—A Perspective and Prospects , 2005 .

[23]  Larry L. Howell,et al.  Design of two-link, in-plane, bistable compliant micro-mechanisms , 1999 .