Comparative Study between Existing Method for Identification of Isomorphism and Distinct Mechanism

Mubina Shekh*, Ali Hasan**, R.A. Khan***, AAS Mohd****
* Department of Mechanical Engineering, IMS Engineering College, Ghaziabad.
** Department of Mechanical Engineering, Jamia Millia Islamia, New Delhi.
*** Professor, Mechanical Engineering in the Department of Engineering & Technology, Jamia Millia Islamia and New Delhi.
**** Associate Professor, Mechanical Engineering in the Department of Engineering & Technology, Jamia Millia Islamia and New Delhi.
Periodicity:February - April'2013
DOI : https://doi.org/10.26634/jme.3.2.2215

Abstract

There are numerous methods available for the identification of isomorphism and distinct mechanism. According to various researchers their method is easy to use and reliable but every method has some limitations. In this paper author studies among existing methods which are already available in literature. And an effort is being made to compare some important methods from the point of view of various attributes like reliability, simplicity, capability, time and applicability etc. to detect the best method for identification of isomorphism and inversions (distinct mechanism) of a kinematic chain. These methods are based on rating according to above attributes and on a scale of one to five. Highest ratings among these methods are considered as best method.

Keywords

Degree of Freedom (DOF), Kinematic Chains (KC) & Distinct Mechanism (DM), JJ Matrix, Weighted Distance Matrix (WDM), Structural Invariants.

How to Cite this Article?

Shekh, M., Hasan, A., Khan, R. A., & Mohd, A. A. S. (2013). Comparative Study between Existing Method for Identification of Isomorphism and Distinct Mechanism. i-manager's Journal on Mechanical Engineering, 3(2), 39-48. https://doi.org/10.26634/jme.3.2.2215

References

[1]. Uicher J.J. and Raicu A., (1975). “A method for identification and recognition of equivalence of kinematic chains”, Mech. Mach. Theory, 10, pp 375-383.
[2]. Mruthyunjaya, (1984). “A computerized Methodology for Structural Synthesis of Kinematic Chains, Part – 1,2 &3, Formulation”, Mech. Mach. Theory, Vol. 19, No. 6, 1984.
[3]. Rao and Rao, (1993). “Loop based pseudo hamming values—I & II, testing isomorphism and rating kinematic chains”, Mach. Theory, Vol. 28, No. 1.
[4]. A.C. Rao (2000). “Loop based detection of isomorphism among chains, inversion and type of freedom in multi degree of freedom chain”, Transaction of the ASME, 32 Vol. 122.
[5]. A. Mohd, R.A. Khan & V. P. Agrawal, (2006). “Identification of kinematic chains and distinct mechanisms using [extended adjacency] matrix”, Proc. I Mech., Engg. Vol. 220 Part C: J. Mechanical Engineering Science.
[6]. Ali Hasan, R.A. Khan & Aas Mohd, (2006). “Isomorphism in mechanism Kinematic Chains using Joint – Joint Matrix”.
[7]. Hasan A.,et.al. (2006). “Identification of Multiple Jointed Kinematic Chains”, Journal of Analysis and Computation', Vol.2 No.2, pp.175-182, 2006.
[8]. Hasan A.,et.al. (2006). “Identification of Kinematic Chains and Distinct Mechanisms”, International Journal of Applied Engineering Research, Vol.1, No-2, pp.251-264, 2006.
[9]. H.F. Ding, Z. Huang, (2007). A unique representation of the kinematic chain and the atlas database, in : Mech-mach. Theory, 42, 637- 651.
[10]. H.F. Ding, Z. Huang (2007). A new theory for the topological structure analysis of kinematic chains and its applications, in: Mech-mach. Theory, 42, 1264- 1279.
[11]. H.F. Ding, Z. Huang (2007). The establishment of the Canonical Perimeter Topological graph of kinematic chains and isomorphism identification, in: Journal of Mechanical Design ,Vol. 129/915
[12]. Ali Hasan, R.A. Khan and Aas Mohd, (2007). A new method to detect Isomorphism in Kinematic Chain, Kathmandu University, Journal of Science, Engineering and Technology, Vol. 1, 2006.
[13]. Hasan A.,et.al. (2007). “Isomorphism in Kinematic Chains Using Path Matrix”, Journal of Institution of Professional Engineers (IPENZ), New Zealand.
[14]. Ali Hasan, R.A. Khan & Ashok Kumar Dargar, (2007). “Isomorphism and Inversions of Kinematic Chains Up to 10-Links”, 13th National Conference on Mechanisms and Machines (NaCoMM07), IISc, Bangalore, India, December 12-13, 2007.
[15]. Hasan A.,et.al. (2008). “Isomorphism and Inversions of Kinematic Chains Up to 10 Links Using Degrees of Freedom of Kinematic Pairs”, International Journal of Computational Methods (IJCM), Vol. 5, No. 2 ,pp. 329-339. 3
[16]. A. Mohd, I. A. Khan & M. K. Lohumi, (2008). “Interactive Weighted Distance Approach for Identification of Distinct Mechanisms Derived from the Kinematic Chains”, International Journal of Applied Engineering Research, ISSN 0973-4562 Volume 3, Number 9 (2008), pp. 1217–1226.
[17]. Ashok Dargar, Ali Hasan & R.A. Khan (2009). “Identification of Isomorphism among Kinematic Chains and Inversions using Link Adjacency Values”. International Journal of Mechanical and Materials Engineering (IJMME), Vol. 4 (2009), No 3, 309-315.
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