Universal Journal of Mechanical Engineering Vol. 1(4), pp. 133 - 138
DOI: 10.13189/ujme.2013.010405
Reprint (PDF) (464Kb)

A New Approach for Isomorphism Identification among Compound Kinematic Chains and Mechanisms

Ashok Dargar ^*
Department of Mechanical Engineering, School of Engineering, Sir Padampat Singhania University, NH-76, Udaipur- 313601, India

ABSTRACT

Structure synthesis of mechanisms is a pivotal issue in the field of mechanical innovation and mechanical conceptual design. The present work deals with problem of detection of isomorphism which is frequently encountered in structural synthesis of kinematic chains. A new approach based on a combination of eigenvalues and eigenvectors which are further associated with the modified adjacency matrix is proposed. The proposed method not only effective but also more efficient than that are based on the adjacency matrices and capable of detecting isomorphism in all types of compound KC, i.e. chains of single or multi degree of freedom with simple or multiple joints. This study will help the designer to select the best KC and mechanisms to perform the specified task at conceptual stage of design. Some examples are provided to demonstrate the effectiveness of this method.

KEYWORDS
Kinematic Chain (KC), Distinct Mechanisms, Eigenvalues, Eigenvectors

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Ashok Dargar , "A New Approach for Isomorphism Identification among Compound Kinematic Chains and Mechanisms," Universal Journal of Mechanical Engineering, Vol. 1, No. 4, pp. 133 - 138, 2013. DOI: 10.13189/ujme.2013.010405.

(b). APA Format:
Ashok Dargar (2013). A New Approach for Isomorphism Identification among Compound Kinematic Chains and Mechanisms. Universal Journal of Mechanical Engineering, 1(4), 133 - 138. DOI: 10.13189/ujme.2013.010405.