The parametric resonance of a simple supported tube is studied by employing Galerkin's method, reducing the equation of motion to a system of coupled Mathieu-Hill type equations with multiharmonic coefficients. The stability-instability region boundaries are constructed by the methods of Hsu and Bolotin. The results obtained by Hsu's first approximation show that combination resonace is possible and that the coupling terms do not influence the principal and second instability regions. The higher order approximation is obtained by Bolotin's method which shows that the effect of the coupling terms is to lower, in frequency, the instability regions; they have no effect on the size of the instability regions.

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  • Accession Number: 00056132
  • Record Type: Publication
  • Source Agency: American Petroleum Institute
  • Files: TRIS
  • Created Date: Jun 24 1974 12:00AM