The modified quadrilateral discretization model for the topology optimization of compliant mechanisms is introduced in this paper. The design domain is discretized into quadrilateral design cells. There is a certain location shift between two neighboring rows of quadrilateral design cells. This modified quadrilateral discretization model allows any two contiguous design cells to share an edge whether they are in the horizontal, vertical, or diagonal direction. Point connection is completely eliminated. In the proposed topology optimization method, design variables are all binary, and every design cell is either solid or void to prevent gray cell problem that is usually caused by intermediate material states. Local stress constraint is directly imposed on each analysis cell to make the synthesized compliant mechanism safe. Genetic algorithm is used to search the optimum. No postprocessing is required for topology uncertainty caused by either point connection or gray cell. The presented modified quadrilateral discretization model and the proposed topology optimization procedure are demonstrated by two synthesis examples of compliant mechanisms.
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November 2011
Research Papers
The Modified Quadrilateral Discretization Model for the Topology Optimization of Compliant Mechanisms
Pranjal P. Killekar
Pranjal P. Killekar
Department of Mechanical and Industrial Engineering,
e-mail: pranjalkillekar@hotmail.com
Texas A&M University-Kingsville
, Kingsville, TX 78363
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Pranjal P. Killekar
Department of Mechanical and Industrial Engineering,
Texas A&M University-Kingsville
, Kingsville, TX 78363e-mail: pranjalkillekar@hotmail.com
J. Mech. Des. Nov 2011, 133(11): 111007 (9 pages)
Published Online: November 11, 2011
Article history
Received:
January 18, 2011
Revised:
August 1, 2011
Online:
November 11, 2011
Published:
November 11, 2011
Citation
Zhou, H., and Killekar, P. P. (November 11, 2011). "The Modified Quadrilateral Discretization Model for the Topology Optimization of Compliant Mechanisms." ASME. J. Mech. Des. November 2011; 133(11): 111007. https://doi.org/10.1115/1.4004986
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