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• W1970860637 abstract "Abstract Based on the array representation of loops in topological graphs of kinematic chains, this paper proposes two basic loop operations, “Θ” and “⊕”, for the first time. The existent conditions and properties of “⊕” operation are researched and four laws about the operation are presented. Furthermore, after the important concepts of the independent loop set and its selection theorem are proposed, the loop relationship of kinematic chains is revealed; thus an original theory of loop analysis is established. Finally, some applications are given under the basic theory above, such as the isomorphism identification, the detection of rigid sub-chains, and the freedom type analysis of kinematic chains." @default.
• W1970860637 created "2016-06-24" @default.
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• W1970860637 creator A5086030665 @default.
• W1970860637 date "2007-10-01" @default.
• W1970860637 modified "2023-10-18" @default.
• W1970860637 title "A new theory for the topological structure analysis of kinematic chains and its applications" @default.
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• W1970860637 doi "https://doi.org/10.1016/j.mechmachtheory.2006.11.007" @default.
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