Bifurcation Analysis of Shallow Spherical Shells with Meridionally Nonuniform Loading

  • Charles G. Lange
  • Frederic Y. M. Wan
Conference paper

DOI: 10.1007/978-90-481-9577-0_8

Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 6)
Cite this paper as:
Lange C.G., Wan F.Y.M. (2004) Bifurcation Analysis of Shallow Spherical Shells with Meridionally Nonuniform Loading. In: Complementarity, Duality and Symmetry in Nonlinear Mechanics. Advances in Mechanics and Mathematics, vol 6. Springer, Dordrecht

Abstract

Numerical solutions of the relevant boundary value problem suggest that the first bifurcation from the basic solution for a spherical cap under a class of meridionally nonuniform loading is to a dimple state. Delicate asymptotic analysis of the linearized buckling problem confirm this observation.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Charles G. Lange
    • 1
  • Frederic Y. M. Wan
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaIrvineUSA

Personalised recommendations