Research Papers

A Comparative Study of the Formulations and Benchmark Problems for the Topology Optimization of Compliant Mechanisms

[+] Author and Article Information
Sangamesh R. Deepak, M. Dinesh, Deepak K. Sahu

Mechanical Engineering, Indian Institute of Science, Bangalore 560012, India

G. K. Ananthasuresh

Mechanical Engineering, Indian Institute of Science, Bangalore 560012, Indiasuresh@mecheng.iisc.ernet.in




J. Mechanisms Robotics 1(1), 011003 (Jul 30, 2008) (8 pages) doi:10.1115/1.2959094 History: Received April 22, 2008; Revised June 20, 2008; Published July 30, 2008

The topology optimization problem for the synthesis of compliant mechanisms has been formulated in many different ways in the past 15years, but there is not yet a definitive formulation that is universally accepted. Furthermore, there are two unresolved issues in this problem. In this paper, we present a comparative study of five distinctly different formulations that are reported in the literature. Three benchmark examples are solved with these formulations using the same input and output specifications and the same numerical optimization algorithm. A total of 35 different synthesis examples are implemented. The examples are limited to desired instantaneous output direction for prescribed input force direction. Hence, this study is limited to linear elastic modeling with small deformations. Two design parametrizations, namely, the frame element-based ground structure and the density approach using continuum elements, are used. The obtained designs are evaluated with all other objective functions and are compared with each other. The checkerboard patterns, point flexures, and the ability to converge from an unbiased uniform initial guess are analyzed. Some observations and recommendations are noted based on the extensive implementation done in this study. Complete details of the benchmark problems and the results are included. The computer codes related to this study are made available on the internet for ready access.

Copyright © 2008 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Figure 1

Specification for a typical compliant mechanism synthesis problem

Grahic Jump Location
Figure 7

Topology of the inverter obtained with Kin=1×106N∕m and Kout=1×104N∕m

Grahic Jump Location
Figure 8

Topology of the inverter obtained with Kin=1×106N∕m and Kout=1×106N∕m

Grahic Jump Location
Figure 9

Topology of the inverter obtained with Kin=Kout=1×107N∕m

Grahic Jump Location
Figure 2

A gripper example solved with YINSYN . (a) Problem specifications, (b) optimal topology with output stiffness=1×10−6N∕m, and (c) optimal topology with output stiffness=100N∕m. This example used Young’s modulus of 2×109Pa, Poisson’s ratio of 0.3, 300×150mm2 rectangular design domain with some nondesign hole, out-of-plane thickness of 5mm, 5N input force, a material penalization parameter equal to 3, and a volume fraction of 0.2.

Grahic Jump Location
Figure 3

Design domain and material properties

Grahic Jump Location
Figure 4

Inverter example



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In