Non-axisymmetric instability of polar orthotropic annular plates

✍ Scribed by Cheng Chang-Jun; A. J. M. Spencer

• Publisher: Springer
• Year: 1989
• Tongue: English
• Weight: 734 KB
• Volume: 23
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00058432

✦ Synopsis

The non-axisymmetric instability of polar orthotropic annular plates under inplane uniform radial pressures is studied by use of the shooting method. The characteristic equations and eigenvalues under a variety of edge conditions are given. Under two appropriate hypotheses, we prove that all eigenvalues are bifurcation points. Hence, it is possible that non-axisymmetric buckled and post-buckled states branch from axisymmetric unbuckled states of an annular plate. Asymptotic formulae for buckled states are obtained and curves for the deflection and stress are shown.