Mobility Calculating of Planar Mechanisms in a New Method

DOI

10.2991/lemcs-14.2014.129How to use a DOI?

Keywords

mobility calculating; network graph of mechanism; matrix analysis; displacement; planar machanism

Abstract

In this article, a new method of calculating mobility for planar kinematic chains, based on kinematic graph of mechanism and matrix theory, is put forward. We proposed a new conception of network graph of mechanism to describe kinematic chains instead of kinematic graph of mechanism. With a network graph of mechanism, the displacements of components produced by applied forces can be calculated effectively and simply. Futhermore, matrixes can be established by displacement and force equation groups. By means of analyzing the matrixes, we will obtain the mobility of a mechanism with no efforts as the mobility equals to the dimension of the matrix arrived at from equation groups. In addition, this new method is applied to various kinds of mechanisms in plane efficiently and correctly including the kinematic chains with passive constraints and common constraints. The method of this paper can be extended to calculate mobility of spatial mechanisms too.

Copyright

© 2014, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Yuwang Liu
AU  - Chen Chen
AU  - Tian Tian
AU  - Yingbo Lei
PY  - 2014/05
DA  - 2014/05
TI  - Mobility Calculating of Planar Mechanisms in a New Method
BT  - Proceedings of the International Conference on Logistics, Engineering, Management and Computer Science
PB  - Atlantis Press
SP  - 560
EP  - 565
SN  - 1951-6851
UR  - https://doi.org/10.2991/lemcs-14.2014.129
DO  - 10.2991/lemcs-14.2014.129
ID  - Liu2014/05
ER  -