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A Global Constraint On Relative Rotation To Avoid Lumped Compliant Mechanisms In Topology Optimization

Deepak, Sangamesh R (2009) A Global Constraint On Relative Rotation To Avoid Lumped Compliant Mechanisms In Topology Optimization. In: 32nd Annual Mechanisms and Robotics Conference, AUG 03-06, 2008, New York, pp. 227-235.

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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 oil the following benchmark problems - displacement inverter and gripper.

Item Type: Conference Paper
Publisher: American Society of Mechanical Engineers
Additional Information: Copyright of this article belongs to American Society of Mechanical Engineers.
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 20 Aug 2009 09:32
Last Modified: 20 Aug 2009 09:32
URI: http://eprints.iisc.ac.in/id/eprint/19694

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