A theoretical analysis is presented of the dynamic work of pile-shells according to the theory of longitudinal vibrations. In order to show the possibility of examining a pile-shell in a dynamic calculation as a solid-section rod, it was calculated as a cylindrical thin-walled shell, and the transverse displacements of its sections in the presence of vibrations were determined. The differential equations of vibrations are given. The pile-shell can be considered as a rod during driving and not as a shell which simplifies calculation. The pile is then considered as rod with hysteresis with elastic restraining of the lower end, and takes into account the external resistances to oscillations. The external viscous resistance is taken to be proportional to the displacement velocity of the rod sections. The differential equation is given as well as the equation obtained after a number of transformations. The calculation with small values of K (rigidity of a spring modeling the soil at the base of the pile) yields a stress in the lower section close to zero. It has been shown that in the lower section the stresses have approximately the same value as in the upper at driving depths of the pile-shell of 10 or more meters into soils of average density. A rod of variable section was also examined.

  • Supplemental Notes:
    • Translated from Osnovaniya, Fundamenty i Mechanika Gruntov, Vol. 1, No. 3, pp 14-15, March 1964.
  • Corporate Authors:

    Consultants Bureau

    227 West 17th Street
    New York, NY  United States  10011
  • Authors:
    • Goldshtein, V M
  • Publication Date: 1964-6

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Filing Info

  • Accession Number: 00083803
  • Record Type: Publication
  • Files: TRIS
  • Created Date: May 29 1975 12:00AM