Asymmetric dynamic instability of axisymmetric polar dimpling of thin shallow spherical shells

DOI10.1007/BF02013747zbMath0729.73079OpenAlexW2091290237MaRDI QIDQ807128

Tian-quan Yun

Publication date: 1989

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02013747

zbMATH Keywords

Sturm-Liouville operatorspectral theoremHilbert theoremquadratic pressure distribution

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Bifurcation and buckling (74G60) Eigenvalue problems for linear operators (47A75) Membranes (74K15)

Cites Work

• Finite Polar Dimpling of Shallow Caps Under Sub-Buckling Axisymmetric Pressure Distributions
• Buckling and postbuckling behavior of spherical caps under axisymmetric load
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