Freeform Skeletal Shape Optimization of Compliant Mechanisms

[+] Author and Article Information
Dong Xu, G. K. Ananthasuresh

Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA 19104-6315

J. Mech. Des 125(2), 253-261 (Jun 11, 2003) (9 pages) doi:10.1115/1.1563634 History: Received July 01, 2001; Revised May 01, 2002; Online June 11, 2003
Copyright © 2003 by ASME
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Two types of shape optimization (a) optimizing the boundary shapes of holes (b) optimizing the skeletal curves of the segments. Both are capable of generating the same structure if the width of the segments is varied along with the curves in the latter.
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Visualization of the objective functions by varying only one variable
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Illustration of loop avoiding constraint (a) without a loop (b) with a loop
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Geometric constraints to prevent intersection of different segments. The permissible region for the control polygon of the segment in bold line is shown as a dashed line.
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Shape optimization problem specifications for the gripper
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Optimum solution and its deformed profile for the gripper
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Iteration history for the shape optimization of the gripper
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Polyethylene prototype of the shape-optimized compliant gripper
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Shape optimization problem specifications for the crimper
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Shape-optimized crimper and its deformed profile
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Polyethylene prototype of the optimized crimping tool (a) undeformed (b) deformed under actuation
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Optimal topologies for compliant mechanisms using frame ground structure method (2a,2c,2e) and continuum element method (2b,2d,2 f ). The shapes of compliant segments in the ground structure designs have a limited number of slopes, and the continuum designs mostly rely upon flexural pivots.
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Bezier control polygon and the corresponding curve
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(a) a compliant gripper (b) Schematic of the left half along with the Bezier polygon




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