Synthesis of compliant mechanisms with selective compliance – An advanced procedure

Abstract By means of compliant mechanisms, given deformations can be realized in a controlled manner, in order to fulfill the typical task of conventional mechanisms. Compliant mechanisms with distributed compliance show large flexible areas and can therefore divert from the desired, mechanism-like behavior. Selective compliant mechanisms are advanced mechanisms with distributed compliance which nevertheless come close to such a behavior. In this paper, a new approach to the synthesis of this type of compliant mechanisms is presented. Compared to previous synthesis methods, this approach is more suitable for the synthesis of mechanisms with many output degrees of freedom, since the optimization process is more stable. With this new synthesis approach, an incremental linearization of the optimization problem is performed, which allows for the use of a linear optimization algorithm. The new synthesis approach is tested with two examples of compliant mechanisms with a few output degrees of freedom and a shape adaptive mechanism with many output degrees of freedom.

[1]  Gene H. Golub,et al.  Some modified matrix eigenvalue problems , 1973, Milestones in Matrix Computation.

[2]  Chih-Hsing Liu,et al.  Topology and size optimization of an adaptive compliant gripper to maximize the geometric advantage , 2016, 2016 IEEE International Conference on Advanced Intelligent Mechatronics (AIM).

[3]  Noboru Kikuchi,et al.  TOPOLOGY OPTIMIZATION OF COMPLIANT MECHANISMS USING THE HOMOGENIZATION METHOD , 1998 .

[4]  Chih-Hsing Liu,et al.  Optimal design of a soft robotic gripper with high mechanical advantage for grasping irregular objects , 2017, 2017 IEEE International Conference on Robotics and Automation (ICRA).

[5]  Michael Yu Wang,et al.  Designing Distributed Compliant Mechanisms With Characteristic Stiffness , 2007 .

[6]  Sridhar Kota,et al.  An Energy Formulation for Parametric Size and Shape Optimization of Compliant Mechanisms , 1999 .

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

[8]  G. Sequenzia,et al.  Modified chain algorithm to study planar compliant mechanisms , 2016 .

[9]  Larry L. Howell,et al.  A Loop-Closure Theory for the Analysis and Synthesis of Compliant Mechanisms , 1996 .

[10]  Alexander Hasse,et al.  Design of compliant mechanisms with selective compliance , 2009 .

[11]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[12]  J. Paros How to design flexure hinges , 1965 .

[13]  Xianmin Zhang,et al.  Design of compliant mechanisms using continuum topology optimization: A review , 2020 .

[14]  Yang Chen,et al.  Topology and Size–Shape Optimization of an Adaptive Compliant Gripper with High Mechanical Advantage for Grasping Irregular Objects , 2019, Robotica.

[15]  Larry L. Howell,et al.  A Method for the Design of Compliant Mechanisms With Small-Length Flexural Pivots , 1994 .

[16]  G. K. Ananthasuresh,et al.  A Comparative Study of the Formulations and Benchmark Problems for the Topology Optimization of Compliant Mechanisms , 2009 .

[17]  Michael Yu Wang,et al.  Mechanical and geometric advantages in compliant mechanism optimization , 2009 .

[18]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[19]  Alexander Hasse Topology Optimization of Compliant Mechanisms Explicitly Considering Desired Kinematics and Stiffness Constraints , 2016 .

[20]  Sridhar Kota,et al.  Strategies for systematic synthesis of compliant mems , 1994 .

[21]  N. M. Sevak,et al.  Optimal Synthesis of Flexible Link Mechanisms with Large Static Deflections , 1975 .

[22]  K. Abdel-Malek,et al.  Compliant mechanism design using multi-objective topology optimization scheme of continuum structures , 2005 .

[23]  Nicolae Lobontiu,et al.  Compliant Mechanisms: Design of Flexure Hinges , 2002 .

[24]  Chih-Hsing Liu,et al.  Topology Synthesis and Optimal Design of an Adaptive Compliant Gripper to Maximize Output Displacement , 2018, J. Intell. Robotic Syst..

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

[26]  Hejun Du,et al.  Use of functional specifications as objective functions in topological optimization of compliant mechanism , 2001 .

[27]  Gennaro Senatore,et al.  Synthesis of minimum energy adaptive structures , 2019, Structural and Multidisciplinary Optimization.