Advertisement

SYMMETRIC AND ASYMMETRIC VIBRATIONS OF CYLINDRICAL SHELLS

  • Uğurhan Akyüz
  • Aybar Ertepinar
Conference paper
  • 1.3k Downloads
Part of the Springer Proceedings in Physics book series (SPPHY, volume 111)

Abstract

The stability of cylindrical shells of arbitrary wall thickness subjected to uniform radial tensile or compressive dead-load traction is investigated. The material of the shell is assumed to be a polynomial compressible material which is homogeneous, isotropic, and hyperelastic. The governing equations are solved numerically using the multiple shooting method. The loss of stability occurs when the motions cease to be periodic. The effects of several geometric and material properties on the stress and the deformation fields are investigated.

Keywords

Cylindrical Shell Shell Thickness Circular Cylindrical Shell Asymmetric Vibration Foam Rubber 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Blatz P. J. and Ko W. L. (1962) Application of Finite Elasticity Theory to the Deformation of Rubbery Materials, Trans. Soc. Rheo. 6, 223.CrossRefGoogle Scholar
  2. Carroll M. M. and McCarthy M. F. (1995) Conditions on Elastic Strain Energy Function, Zangew Math. Phys. 46, S172.MathSciNetGoogle Scholar
  3. Deuflhard P. and Bader G. (1982) SFB 123, Tech. Rep. 163, University of Heildelberg.Google Scholar
  4. Ericksen J. L. (1955) Deformations Possible in Every Compressible, Isotropic, Perfectly Elastic Body, J. Math. Phys. 34, 198.MathSciNetGoogle Scholar
  5. Green A. E. and Zerna W. (1968) Theoretical Elasticity, 2nd Edition, Oxford.Google Scholar
  6. Levinson M. and Burgess I. W. (1971) A Comparison of Some Simple Constitutive Equations for Slightly Compressible Rubber-Like Materials, Int. J. Mech. Sci. 13, 563.CrossRefGoogle Scholar
  7. Mooney M. (1940) A Theory of Large Elastic Deformations, J. Appl. Phys. 11, 582.CrossRefGoogle Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • Uğurhan Akyüz
    • 1
  • Aybar Ertepinar
    • 1
  1. 1.Department of Civil Engineering, Earthquake Engineering Research CenterMiddle East Technical UniversityAnkaraTurkey

Personalised recommendations