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Vol. 43 (2002) No. 1 April n. 138


DYNAMIC INSTABILITY BEHAVIOUR OF COMPLETE CYLINDRICAL RESERVOIRS WITH TOROSPHERICAL COVERS UNDER INTERNAL PERIODIC PRESSURES

< Table of Contents for Vol. 43 (2002) No. 1 April n. 138
  • Journal Name: Journal of the International Association for Shell and Spatial Structures (J. IASS)
  • ISSN: (Electronic Version) 1996-9015
  • ISSN: (Print Version) 1028-365X
  • Issue: Vol. 43 (2002) No. 1 April n. 138
  • Pages: 3-12
  • Title: DYNAMIC INSTABILITY BEHAVIOUR OF COMPLETE CYLINDRICAL RESERVOIRS WITH TOROSPHERICAL COVERS UNDER INTERNAL PERIODIC PRESSURES
  • Author(s): Obanishola M. Sadiq
  • Keywords: Dynamic Analysis, Vibrations, Cylindrical Reservoirs.
Abstract
This paper examines the dynamic instability behaviour of cylindrical reservoirs with both ends covered with torospherical covers when subjected to internal periodic pressure. Two types of dynamic vibrations are considered: sub-harmonic vibrations, i.e. when the forced frequency of vibration is less than the lowest natural frequency of the reservoir and super-harmonic vibrations - when the forced frequency of vibrations is higher and in multiples of the lowest natural frequency of the combined structure. Analysis of our results shows that for the sub-harmonic vibrations dynamic instability was asymmetrical with formation of circular waves localised at the torospherical covers, while for the super-harmonic vibrations localisation of circular waves was found to be predominantly at the centre of the spherical fragments of the torospherical covers. It was also observed that at zones near the contact joints of the spherical and toroidal surfaces as well as the toroidal and cylindrical surfaces, while the vibration progressed, there occurred leveling of curvatures and extensive form changing of these different curved surfaces, which led to the appearance of large turning angles accompanied with large tangential deformations which made the vibrations to be highly geometrically nonlinear. Vibration curves depicting the dynamic instability behavior of the reservoirs under sub- and super-harmonic vibrations are presented

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