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Abstract

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

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References

  1. Rao AC, Rao CN (1992) Loop based pseudo Hamming values-1 testing isomorphism and rating kinematic chains. Mech Mach Theory 28(1):113–127

    Article  Google Scholar 

  2. Rao AC, Rao CN (1992) Loop based pseudo Hamming values-2 inversions, preferred frames and actuator. Mech Mach Theory 28(1):129–143

    Article  Google Scholar 

  3. 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 122:31–42

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  4. Ding HF, Huang Z (2007) A new theory for the topological structure analysis of kinematic chains and its applications. Mech Mach Theory 42(10):1264–1279

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  5. 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):119–127

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  6. Huang Z, Ding HF (2007) Theory of loop algebra on multi-loop kinematic chains and its application. Sci China 50(4):437–447

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Correspondence to Huafeng Ding .

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© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Ding, H., Yang, W., Kecskeméthy, A. (2022). Loop Algebra of Kinematic Chains. In: Automatic Structural Synthesis and Creative Design of Mechanisms. Springer Tracts in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-19-1508-6_4

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  • DOI: https://doi.org/10.1007/978-981-19-1508-6_4

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-1507-9

  • Online ISBN: 978-981-19-1508-6

  • eBook Packages: EngineeringEngineering (R0)

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