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2022 | OriginalPaper | Buchkapitel

A Parametric Approach to Detect Isomorphism and Inversion in the Planar Kinematic Chains

verfasst von : Kunal Dewangan, Arvind Kumar Shukla

Erschienen in: Machines, Mechanism and Robotics

Verlag: Springer Singapore

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Abstract

This work deals with the problem of detection of isomorphism and inversions among planar kinematic chains. To detect isomorphism and inversions a least distance matrix (LDM) is formed using the values on the basis of the parameter. Isomorphism is detected on the basis of chain string (CS) of least distance matrix (LDM). An inversion is generated by grounding a different links in the kinematic chain. Here, link string (LS) is generated for the different kinematic inversions of the chains so that we can detect kinematic inversions with the help of link string (LS).

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Literatur
1.
Zurück zum Zitat Zeng K, Fan X, Dong M, Yang P (2014) A fast algorithm for kinematic chain isomorphism identification based on dividing and matching vertices. Mech Mach Theory 72:25–38CrossRef Zeng K, Fan X, Dong M, Yang P (2014) A fast algorithm for kinematic chain isomorphism identification based on dividing and matching vertices. Mech Mach Theory 72:25–38CrossRef
2.
Zurück zum Zitat Rai RK, Punjabi S (2019) A new algorithm of links labelling for the isomorphism detection of various kinematic chains using binary code. Mech Mach Theory 131:1–32CrossRef Rai RK, Punjabi S (2019) A new algorithm of links labelling for the isomorphism detection of various kinematic chains using binary code. Mech Mach Theory 131:1–32CrossRef
3.
Zurück zum Zitat Venkata Kamesh V, Mallikarjuna Rao K, Balaji Srinivasa Rao A (2017) An innovative approach to detect isomorphism in planar and geared kinematic chains using graph theory. J Mech Des 139(12) Venkata Kamesh V, Mallikarjuna Rao K, Balaji Srinivasa Rao A (2017) An innovative approach to detect isomorphism in planar and geared kinematic chains using graph theory. J Mech Des 139(12)
4.
Zurück zum Zitat Mruthyunjaya TS, Balasubramanian HR (1987) In quest of a reliable and efficient computational test for detection of isomorphism in kinematic chains. Mech Mach Theory 22(2):131–139CrossRef Mruthyunjaya TS, Balasubramanian HR (1987) In quest of a reliable and efficient computational test for detection of isomorphism in kinematic chains. Mech Mach Theory 22(2):131–139CrossRef
5.
Zurück zum Zitat Rai RK, Punjabi S (2019) Isomorphism detection of planar kinematic chains with multiple joints using information theory. J Mech Des 1–42 Rai RK, Punjabi S (2019) Isomorphism detection of planar kinematic chains with multiple joints using information theory. J Mech Des 1–42
6.
Zurück zum Zitat Sun W, Kong J, Sun L (2018) A joint–joint matrix representation of planar kinematic chains with multiple joints and isomorphism identification. Adv Mech Eng 10(6):1687814018778404CrossRef Sun W, Kong J, Sun L (2018) A joint–joint matrix representation of planar kinematic chains with multiple joints and isomorphism identification. Adv Mech Eng 10(6):1687814018778404CrossRef
7.
Zurück zum Zitat Sun W, Kong J, Sun L (2017) The improved hamming number method to detect isomorphism for kinematic chain with multiple joints. J Adv Mech Des Syst Manuf 11(5):JAMDSM0061-JAMDSM0061 Sun W, Kong J, Sun L (2017) The improved hamming number method to detect isomorphism for kinematic chain with multiple joints. J Adv Mech Des Syst Manuf 11(5):JAMDSM0061-JAMDSM0061
8.
Zurück zum Zitat Shukla A, Sanyal S (2017) Gradient method for identification of isomorphism of planar kinematic chains. Australian J Mech Eng 1–18 Shukla A, Sanyal S (2017) Gradient method for identification of isomorphism of planar kinematic chains. Australian J Mech Eng 1–18
9.
Zurück zum Zitat Hwang WM, Hwang YW (1992) Computer-aided structural synthesis of planar kinematic chains with simple joints. Mech Mach Theory 27(2):189–199CrossRef Hwang WM, Hwang YW (1992) Computer-aided structural synthesis of planar kinematic chains with simple joints. Mech Mach Theory 27(2):189–199CrossRef
10.
Zurück zum Zitat Purushottamprajapati, Deshmukh PB, Shukla AK (2013) A novel approach for detection of isomorphism of kinematic chains. Inacomm, December 2013, pp 525–532 Purushottamprajapati, Deshmukh PB, Shukla AK (2013) A novel approach for detection of isomorphism of kinematic chains. Inacomm, December 2013, pp 525–532
Metadaten
Titel
A Parametric Approach to Detect Isomorphism and Inversion in the Planar Kinematic Chains
verfasst von
Kunal Dewangan
Arvind Kumar Shukla
Copyright-Jahr
2022
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-16-0550-5_73

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