Skip to main content
Top

2022 | OriginalPaper | Chapter

4. Loop Algebra of Kinematic Chains

Authors : Huafeng Ding, Wenjian Yang, Andrés Kecskeméthy

Published in: Automatic Structural Synthesis and Creative Design of Mechanisms

Publisher: Springer Nature Singapore

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

An original loop algebra theory is proposed to analyze the topological structure of kinematic chains.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Rao AC, Rao CN (1992) Loop based pseudo Hamming values-1 testing isomorphism and rating kinematic chains. Mech Mach Theory 28(1):113–127CrossRef Rao AC, Rao CN (1992) Loop based pseudo Hamming values-1 testing isomorphism and rating kinematic chains. Mech Mach Theory 28(1):113–127CrossRef
2.
go back to reference Rao AC, Rao CN (1992) Loop based pseudo Hamming values-2 inversions, preferred frames and actuator. Mech Mach Theory 28(1):129–143CrossRef Rao AC, Rao CN (1992) Loop based pseudo Hamming values-2 inversions, preferred frames and actuator. Mech Mach Theory 28(1):129–143CrossRef
3.
go back to reference Rao AC, Prasad Raju Pathapati VVNR (2000) Loop based detection of isomorphism among chains, inversions and type of freedom in multi-degree of freedom chains. ASME J Mech Des 122:31–42CrossRef Rao AC, Prasad Raju Pathapati VVNR (2000) Loop based detection of isomorphism among chains, inversions and type of freedom in multi-degree of freedom chains. ASME J Mech Des 122:31–42CrossRef
4.
go back to reference Ding HF, Huang Z (2007) A new theory for the topological structure analysis of kinematic chains and its applications. Mech Mach Theory 42(10):1264–1279MathSciNetCrossRef Ding HF, Huang Z (2007) A new theory for the topological structure analysis of kinematic chains and its applications. Mech Mach Theory 42(10):1264–1279MathSciNetCrossRef
5.
go back to reference Ding HF, Zhao J, Huang Z (2010) The establishment of edge-based loop algebra theory of kinematic chains and its applications. Eng Comput 26(2):119–127CrossRef Ding HF, Zhao J, Huang Z (2010) The establishment of edge-based loop algebra theory of kinematic chains and its applications. Eng Comput 26(2):119–127CrossRef
6.
go back to reference Huang Z, Ding HF (2007) Theory of loop algebra on multi-loop kinematic chains and its application. Sci China 50(4):437–447CrossRef Huang Z, Ding HF (2007) Theory of loop algebra on multi-loop kinematic chains and its application. Sci China 50(4):437–447CrossRef
Metadata
Title
Loop Algebra of Kinematic Chains
Authors
Huafeng Ding
Wenjian Yang
Andrés Kecskeméthy
Copyright Year
2022
Publisher
Springer Nature Singapore
DOI
https://doi.org/10.1007/978-981-19-1508-6_4

Premium Partners