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A Comparative Study of the Formulations for Topology Optimization of Compliant Mechanisms

Deepak, Sangamesh R and Dinesh, M and Ananthasuresh, GK (2008) A Comparative Study of the Formulations for Topology Optimization of Compliant Mechanisms. In: CD-ROM proceedings of the ASME 2008 International Design Engineering Technical Conferences, Aug. 3-6, 2008, New York City, NY, USA., Aug. 3-6, 2008, New York City, NY.

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The topology optimization problem for the synthesis of compliant mechanisms has been formulated in many different ways in the last 15 years, 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 parameterizations, 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, the ability to converge from an unbiased uniform initial guess, and the computation time are analyzed. Some observations 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.

Item Type: Conference Paper
Publisher: ASME
Additional Information: Copyright of this article belongs to ASME.
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 29 Sep 2011 09:30
Last Modified: 29 Sep 2011 09:30
URI: http://eprints.iisc.ac.in/id/eprint/41028

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