SHELL VIBRATION AND BUCKLING ANALYSIS USING A NEW EIGHT ORDER EQUATION

Doubly curved plates and regions of general shells may be easily investigated for both vibratory behavior and instability using a form of Donnell's equation. The new eight-order equation provides more precision than Donnell's and also offers simple closed form relations that provide insight to the physical behavior of the shell. Examples are presented to depict the increased accuracy and the range of applicability of the equation. One result is a particularly simple relation between instability loading and natural frequency. In another demonstration the cylinder form of the general shell equation is shown to yield Levy's result for ring mode buckling of a cylinder under external pressure, which Donnell's equation does not do.

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    Society of Naval Architects and Marine Engineers

    601 Pavonia Avenue
    Jersey City, NJ  United States  07306-2907
  • Authors:
    • BECKER, H
  • Publication Date: 1975-6

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Filing Info

  • Accession Number: 00098509
  • Record Type: Publication
  • Source Agency: Society of Naval Architects and Marine Engineers
  • Files: TRIS
  • Created Date: Aug 13 1975 12:00AM