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Preliminary Notions

  • Jorge Angeles
Part of the Springer Tracts in Natural Philosophy book series (STPHI, volume 34)

Abstract

A rational study of kinematics is a treatment of the subject based on invariants, i.e., quantities that remain essentially unchanged under a change of observer. An observer is understood to be a reference frame supplied with a clock (Truesdell 1966). This study will therefore include an introduction to invariants. The language of these is tensor analysis and multilinear algebra, both of which share many isomorphic relations, These subjects are treated in full detail in Ericksen (1960) and Bowen and Wang (1976), and hence will not be included here. Only a short account of notation and definitions will be presented. Moreover, definitions and basic concepts pertaining to the kinematics of rigid bodies will be also included.

Keywords

Rigid Body Generalize Inverse Classical Dynamic Rotation Tensor Tensor Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1988

Authors and Affiliations

  • Jorge Angeles
    • 1
  1. 1.Department of Mechanical EngineeringMcGill UniversityMontrealCanada

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