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A Global Constraint on Relative Rotation to Avoid Lumped Compliant Mechanisms in Topology Optimization

[+] Author Affiliations
Sangamesh R. Deepak

Indian Institute of Science, Bangalore, India

Paper No. DETC2008-49623, pp. 227-235; 9 pages
doi:10.1115/DETC2008-49623
From:
  • ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 2: 32nd Mechanisms and Robotics Conference, Parts A and B
  • Brooklyn, New York, USA, August 3–6, 2008
  • Conference Sponsors: Design Engineering Division and Computers in Engineering Division
  • ISBN: 978-0-7918-4326-0 | eISBN: 0-7918-3831-5
  • Copyright © 2008 by ASME

abstract

Some of the well known formulations for topology optimization of compliant mechanisms could lead to lumped compliant mechanisms. In lumped compliance, most of the elastic deformation in a mechanism occurs at few points, while rest of the mechanism remains more or less rigid. Such points are referred to as point-flexures. It has been noted in literature that high relative rotation is associated with point-flexures. In literature we also find a formulation of local constraint on relative rotations to avoid lumped compliance. However, it is well known that a global constraint is easier to handle than a local constraint, by a numerical optimization algorithm. The current work presents a way of putting global constraint on relative rotations. This constraint is also simpler to implement since it uses linearized rotation at the center of finite-elements, to compute relative rotations. I show the results obtained by using this constraint on the following benchmark problems — displacement inverter and gripper.

Copyright © 2008 by ASME

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