On the number of degrees of freedom of flexible connecting mechanisms based on the concept of virtual axes

Hong-Sen Yan, Chia Chun Chu

Research output: Contribution to journalArticle

Abstract

This work presents a modified criterion for counting the number of degrees of freedom of flexible connecting mechanisms. The structural characteristics of flexible connecting mechanisms are studied first. According to the concept of joint geometric constraints, a missed constraint from flexible members can be found. This constraint, namely virtual axis, is similar to joint constraints and is the key point for effective degrees of freedom of flexible connecting mechanisms. Based on the concept, a suitable graph representation is shown for clearly expressing the axes and virtual axes of mechanisms. Then, the Grübler-Kutzbach criterion is modified by including the concept of virtual axes and additional degrees of freedom from flexible members. Finally, this work presents six typical mechanisms as examples to prove the proposed criterion for calculating the effective degrees of freedom.

Original languageEnglish
Pages (from-to)333-342
Number of pages10
JournalTransactions of the Canadian Society for Mechanical Engineering
Volume28
Issue number2 B
Publication statusPublished - 2004 Aug 16

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

@article{c9b3d6c1ac564797b2c989fcfbbb796d,
title = "On the number of degrees of freedom of flexible connecting mechanisms based on the concept of virtual axes",
abstract = "This work presents a modified criterion for counting the number of degrees of freedom of flexible connecting mechanisms. The structural characteristics of flexible connecting mechanisms are studied first. According to the concept of joint geometric constraints, a missed constraint from flexible members can be found. This constraint, namely virtual axis, is similar to joint constraints and is the key point for effective degrees of freedom of flexible connecting mechanisms. Based on the concept, a suitable graph representation is shown for clearly expressing the axes and virtual axes of mechanisms. Then, the Gr{\"u}bler-Kutzbach criterion is modified by including the concept of virtual axes and additional degrees of freedom from flexible members. Finally, this work presents six typical mechanisms as examples to prove the proposed criterion for calculating the effective degrees of freedom.",
author = "Hong-Sen Yan and Chu, {Chia Chun}",
year = "2004",
month = "8",
day = "16",
language = "English",
volume = "28",
pages = "333--342",
journal = "Transactions of the Canadian Society for Mechanical Engineering",
issn = "0315-8977",
publisher = "Canadian Society for Mechanical Engineering",
number = "2 B",

}

TY - JOUR

T1 - On the number of degrees of freedom of flexible connecting mechanisms based on the concept of virtual axes

AU - Yan, Hong-Sen

AU - Chu, Chia Chun

PY - 2004/8/16

Y1 - 2004/8/16

N2 - This work presents a modified criterion for counting the number of degrees of freedom of flexible connecting mechanisms. The structural characteristics of flexible connecting mechanisms are studied first. According to the concept of joint geometric constraints, a missed constraint from flexible members can be found. This constraint, namely virtual axis, is similar to joint constraints and is the key point for effective degrees of freedom of flexible connecting mechanisms. Based on the concept, a suitable graph representation is shown for clearly expressing the axes and virtual axes of mechanisms. Then, the Grübler-Kutzbach criterion is modified by including the concept of virtual axes and additional degrees of freedom from flexible members. Finally, this work presents six typical mechanisms as examples to prove the proposed criterion for calculating the effective degrees of freedom.

AB - This work presents a modified criterion for counting the number of degrees of freedom of flexible connecting mechanisms. The structural characteristics of flexible connecting mechanisms are studied first. According to the concept of joint geometric constraints, a missed constraint from flexible members can be found. This constraint, namely virtual axis, is similar to joint constraints and is the key point for effective degrees of freedom of flexible connecting mechanisms. Based on the concept, a suitable graph representation is shown for clearly expressing the axes and virtual axes of mechanisms. Then, the Grübler-Kutzbach criterion is modified by including the concept of virtual axes and additional degrees of freedom from flexible members. Finally, this work presents six typical mechanisms as examples to prove the proposed criterion for calculating the effective degrees of freedom.

UR - http://www.scopus.com/inward/record.url?scp=3543133681&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3543133681&partnerID=8YFLogxK

M3 - Article

VL - 28

SP - 333

EP - 342

JO - Transactions of the Canadian Society for Mechanical Engineering

JF - Transactions of the Canadian Society for Mechanical Engineering

SN - 0315-8977

IS - 2 B

ER -