LINKAGE CHARACTERISTIC POLYNOMIALS: DEFINITIONS, COEFFICIENTS BY INSPECTION.

H. S. Yan, A. S. Hall

Research output: Contribution to journalArticlepeer-review

Abstract

A linkage characteristic polynomial is defined as the characteristic polynomial of the adjacency matrix of the kinematic graph of the kinematic chain. Some terminology and definitions are stated. A rule from which all coefficients of the characteristic polynomial of a kinematic chain can be identified by inspection, based on the interpretation of a graph determinant, is derived and presented. This inspection rule interprets the topological meanings behind each characteristic coefficient, and might have some interesting possible uses in studies of the structural analysis and synthesis of kinematic chains.

Original languageEnglish
JournalAmerican Society of Mechanical Engineers (Paper)
Issue number80 -DET-8
Publication statusPublished - 1980

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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