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Foundation of the Wave Finite Element Method

  • B. F. Shorr
Chapter
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Abstract

As a simple mechanical model, we consider a rectilinear homogeneous elastic rod of length L and constant cross-sectional area A. The rod moves along its x-axis with velocity v0 and is loaded by forces F 0 + and F 0 - = -F 0 + applied to its ends (Fig.1.1a). The positive index refers to the right end, the negative index to the left end. The positive direction of the forces is taken to coincide with that of the x-axis; therefore, a positive (tensile) stress in the rod is determined as σ0 = F 0 + / A = -F 0 - / A (Fig.1.1b).

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • B. F. Shorr
    • 1
  1. 1.Central Institute of AviationMotors (CIAM)MoscowRussian Federation

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