Fourier descriptor (FD)-based path synthesis algorithms for generation of planar four-bar mechanisms require assigning time parameter values to the given points along the path. An improper selection of time parameters leads to poor fitting of the given path and suboptimal four-bar mechanisms while also ignoring a host of mechanisms that could be potentially generated otherwise. A common approach taken is to use uniform time parameter values, which does not take into account the unique harmonic properties of the coupler path. In this paper, we are presenting a nonuniform parametrization scheme in conjunction with an objective function that provides a better fit, leverages the harmonics of the four-bar coupler, and allows imposing additional user-specified constraints.
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March 2019
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An Optimal Parametrization Scheme for Path Generation Using Fourier Descriptors for Four-Bar Mechanism Synthesis
Shashank Sharma,
Shashank Sharma
Computer-Aided Design and Innovation Lab,
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794-2300
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794-2300
Search for other works by this author on:
Anurag Purwar,
Anurag Purwar
Computer-Aided Design and Innovation Lab,
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794-2300
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794-2300
Search for other works by this author on:
Q. Jeffrey Ge
Q. Jeffrey Ge
Computer-Aided Design and Innovation Lab,
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794-2300
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794-2300
Search for other works by this author on:
Shashank Sharma
Computer-Aided Design and Innovation Lab,
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794-2300
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794-2300
Anurag Purwar
Computer-Aided Design and Innovation Lab,
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794-2300
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794-2300
Q. Jeffrey Ge
Computer-Aided Design and Innovation Lab,
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794-2300
Department of Mechanical Engineering,
Stony Brook University,
Stony Brook, NY 11794-2300
1Corresponding author.
Contributed by the Computers and Information Division of ASME for publication in the JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING. Manuscript received March 29, 2018; final manuscript received September 21, 2018; published online October 18, 2018. Assoc. Editor: Joshua Summers.
J. Comput. Inf. Sci. Eng. Mar 2019, 19(1): 014501 (5 pages)
Published Online: October 18, 2018
Article history
Received:
March 29, 2018
Revised:
September 21, 2018
Citation
Sharma, S., Purwar, A., and Jeffrey Ge, Q. (October 18, 2018). "An Optimal Parametrization Scheme for Path Generation Using Fourier Descriptors for Four-Bar Mechanism Synthesis." ASME. J. Comput. Inf. Sci. Eng. March 2019; 19(1): 014501. https://doi.org/10.1115/1.4041566
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