The effect of axial load on the behaviour of columns consisting of alternate layers of rubber and curved or flat rigid shims is analyzed. First, finite difference equations governing the column response are derived. Relative movement between adjacent shims is assumed to be linear with respect to shearing force and bending moment, but the relation between axial load and this movement is not required to Be linear. The equations are then approximated by letting the number of layers become infinite while the column length remains finite. The resulting differential equations for this so-called continuum column are solved for critical loads and mode shapes for globally homogeneous columns with three different end conditions. A general discrete analysis of the same problem, which is more appropriate for columns with a small number of layers and for nonhomogeneous columns, is also presented. Comparison of the two analyses establishes the limits of applicability of the approximate continuum analysis. The theory is then shown to agree quite well with experimental results for critical loads and mode shapes. (A) /TRRL/

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  • Corporate Authors:

    Pergamon Press, Incorporated

    Maxwell House, Fairview Park
    Elmsford, NY  United States  10523
  • Authors:
    • Schapery, R A
    • Skala, D P
  • Publication Date: 1976

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Filing Info

  • Accession Number: 00138994
  • Record Type: Publication
  • Source Agency: Transport and Road Research Laboratory (TRRL)
  • Files: ITRD, TRIS
  • Created Date: Nov 17 1976 12:00AM