Synthesis of four-bar linkages with specified first derivative of motion

Wen-Miin Hwang, Chi Feng Chang

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this study, new geometrical constructions and simplified equations are proposed to determine the center- and circle-point curves of four-bar linkages with specified first derivative of motion. Properties and degenerations of the curves can easily be investigated by the proposed methods. By using the degenerate curves, the equations for evaluating the Burmester centers are greatly simplified to cubic and quadratic equations. The methods proposed herein can be applied directly to the synthesis of linkages for motion generator, path generator, and function generator with specified first derivative of motion. Interesting applications are presented for illustrating the entire techniques.

Original languageEnglish
Pages (from-to)19-33
Number of pages15
JournalTransactions of the Canadian Society for Mechanical Engineering
Volume18
Issue number1
Publication statusPublished - 1994

Fingerprint

Function generators
Derivatives

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

@article{ada13af8f37d45ae9b8feda501e03d3c,
title = "Synthesis of four-bar linkages with specified first derivative of motion",
abstract = "In this study, new geometrical constructions and simplified equations are proposed to determine the center- and circle-point curves of four-bar linkages with specified first derivative of motion. Properties and degenerations of the curves can easily be investigated by the proposed methods. By using the degenerate curves, the equations for evaluating the Burmester centers are greatly simplified to cubic and quadratic equations. The methods proposed herein can be applied directly to the synthesis of linkages for motion generator, path generator, and function generator with specified first derivative of motion. Interesting applications are presented for illustrating the entire techniques.",
author = "Wen-Miin Hwang and Chang, {Chi Feng}",
year = "1994",
language = "English",
volume = "18",
pages = "19--33",
journal = "Transactions of the Canadian Society for Mechanical Engineering",
issn = "0315-8977",
publisher = "Canadian Society for Mechanical Engineering",
number = "1",

}

Synthesis of four-bar linkages with specified first derivative of motion. / Hwang, Wen-Miin; Chang, Chi Feng.

In: Transactions of the Canadian Society for Mechanical Engineering, Vol. 18, No. 1, 1994, p. 19-33.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Synthesis of four-bar linkages with specified first derivative of motion

AU - Hwang, Wen-Miin

AU - Chang, Chi Feng

PY - 1994

Y1 - 1994

N2 - In this study, new geometrical constructions and simplified equations are proposed to determine the center- and circle-point curves of four-bar linkages with specified first derivative of motion. Properties and degenerations of the curves can easily be investigated by the proposed methods. By using the degenerate curves, the equations for evaluating the Burmester centers are greatly simplified to cubic and quadratic equations. The methods proposed herein can be applied directly to the synthesis of linkages for motion generator, path generator, and function generator with specified first derivative of motion. Interesting applications are presented for illustrating the entire techniques.

AB - In this study, new geometrical constructions and simplified equations are proposed to determine the center- and circle-point curves of four-bar linkages with specified first derivative of motion. Properties and degenerations of the curves can easily be investigated by the proposed methods. By using the degenerate curves, the equations for evaluating the Burmester centers are greatly simplified to cubic and quadratic equations. The methods proposed herein can be applied directly to the synthesis of linkages for motion generator, path generator, and function generator with specified first derivative of motion. Interesting applications are presented for illustrating the entire techniques.

UR - http://www.scopus.com/inward/record.url?scp=0028202569&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028202569&partnerID=8YFLogxK

M3 - Article

VL - 18

SP - 19

EP - 33

JO - Transactions of the Canadian Society for Mechanical Engineering

JF - Transactions of the Canadian Society for Mechanical Engineering

SN - 0315-8977

IS - 1

ER -