Optimal non-uniform parametrization for Fourier descriptor based path synthesis of four bar mechanisms

Shashank Sharma; Anurag Purwar; Q. Jeffrey Ge

doi:10.1115/DETC201885568

Optimal non-uniform parametrization for Fourier descriptor based path synthesis of four bar mechanisms

Shashank Sharma
, Anurag Purwar
, Q. Jeffrey Ge

Mechanical Engineering

Stony Brook University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

Fourier descriptor based path synthesis algorithms rely on harmonic decomposition of four-bar loop closure equation to split the design space into smaller subsets. The core of the methodology depends on calculation and fitting of Fourier descriptors. However, a uniform time parametrization is assumed in existing literature. This paper aims to explore the use of nonuniform time parametrization of input data and calculation of an optimal parametrization. Additionally, design-centric constraints have been proposed to give user enhanced control over coupler speed. As a result, this work improves the existing algorithm tremendously.

Original language	English
Title of host publication	42nd Mechanisms and Robotics Conference
Publisher	American Society of Mechanical Engineers (ASME)
ISBN (Electronic)	9780791851807
DOIs	https://doi.org/10.1115/DETC201885568
State	Published - 2018
Event	ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2018 - Quebec City, Canada Duration: Aug 26 2018 → Aug 29 2018

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	5A-2018

Conference

Conference	ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2018
Country/Territory	Canada
City	Quebec City
Period	08/26/18 → 08/29/18

Keywords

Non uniform Fourier descriptor
Open and Closed path generation
Optimal parametrization
Planar four-bar linkage

Access to Document

10.1115/DETC201885568

Cite this

@inproceedings{3cd2659d8ef8484a85157bb6849ad276,

title = "Optimal non-uniform parametrization for Fourier descriptor based path synthesis of four bar mechanisms",

abstract = "Fourier descriptor based path synthesis algorithms rely on harmonic decomposition of four-bar loop closure equation to split the design space into smaller subsets. The core of the methodology depends on calculation and fitting of Fourier descriptors. However, a uniform time parametrization is assumed in existing literature. This paper aims to explore the use of nonuniform time parametrization of input data and calculation of an optimal parametrization. Additionally, design-centric constraints have been proposed to give user enhanced control over coupler speed. As a result, this work improves the existing algorithm tremendously.",

keywords = "Non uniform Fourier descriptor, Open and Closed path generation, Optimal parametrization, Planar four-bar linkage",

author = "Shashank Sharma and Anurag Purwar and \{Jeffrey Ge\}, Q.",

note = "Publisher Copyright: Copyright {\textcopyright} 2018 ASME.; ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2018 ; Conference date: 26-08-2018 Through 29-08-2018",

year = "2018",

doi = "10.1115/DETC201885568",

language = "English",

series = "Proceedings of the ASME Design Engineering Technical Conference",

publisher = "American Society of Mechanical Engineers (ASME)",

booktitle = "42nd Mechanisms and Robotics Conference",

}

Sharma, S, Purwar, A & Jeffrey Ge, Q 2018, Optimal non-uniform parametrization for Fourier descriptor based path synthesis of four bar mechanisms. in 42nd Mechanisms and Robotics Conference. Proceedings of the ASME Design Engineering Technical Conference, vol. 5A-2018, American Society of Mechanical Engineers (ASME), ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2018, Quebec City, Canada, 08/26/18. https://doi.org/10.1115/DETC201885568

Optimal non-uniform parametrization for Fourier descriptor based path synthesis of four bar mechanisms. / Sharma, Shashank; Purwar, Anurag ; Jeffrey Ge, Q.
42nd Mechanisms and Robotics Conference. American Society of Mechanical Engineers (ASME), 2018. (Proceedings of the ASME Design Engineering Technical Conference; Vol. 5A-2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Purwar, Anurag

AU - Jeffrey Ge, Q.

PY - 2018

Y1 - 2018

N2 - Fourier descriptor based path synthesis algorithms rely on harmonic decomposition of four-bar loop closure equation to split the design space into smaller subsets. The core of the methodology depends on calculation and fitting of Fourier descriptors. However, a uniform time parametrization is assumed in existing literature. This paper aims to explore the use of nonuniform time parametrization of input data and calculation of an optimal parametrization. Additionally, design-centric constraints have been proposed to give user enhanced control over coupler speed. As a result, this work improves the existing algorithm tremendously.

AB - Fourier descriptor based path synthesis algorithms rely on harmonic decomposition of four-bar loop closure equation to split the design space into smaller subsets. The core of the methodology depends on calculation and fitting of Fourier descriptors. However, a uniform time parametrization is assumed in existing literature. This paper aims to explore the use of nonuniform time parametrization of input data and calculation of an optimal parametrization. Additionally, design-centric constraints have been proposed to give user enhanced control over coupler speed. As a result, this work improves the existing algorithm tremendously.

KW - Non uniform Fourier descriptor

KW - Open and Closed path generation

KW - Optimal parametrization

KW - Planar four-bar linkage

UR - https://www.scopus.com/pages/publications/85056988524

U2 - 10.1115/DETC201885568

DO - 10.1115/DETC201885568

M3 - Conference contribution

AN - SCOPUS:85056988524

T3 - Proceedings of the ASME Design Engineering Technical Conference

BT - 42nd Mechanisms and Robotics Conference

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2018

Y2 - 26 August 2018 through 29 August 2018

ER -

Optimal non-uniform parametrization for Fourier descriptor based path synthesis of four bar mechanisms

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Keywords

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