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- Publisher
- Springer Journals
- Copyright
- Copyright © 1986 by Springer-Verlag
- Subject
- Engineering; Theoretical and Applied Mechanics; Classical and Continuum Physics; Solid Mechanics; Solid Mechanics; Vibration, Dynamical Systems, Control; Engineering Thermodynamics, Heat and Mass Transfer
- ISSN
- 0001-5970
- eISSN
- 1619-6937
- DOI
- 10.1007/BF01177058
- Publisher site
- See Article on Publisher Site
Abstract
A Berger-type approximation for large deflections of thermally loaded initially curved elastic plates is derived. In case of simply supported boundaries and arbitrary polygonal planforms, dimensionless solution is found in terms of Dirichlet's Helmholtz-eigenvalues of the given domain. Stability of this equilibrium solution is exemplarily discussed, showing bifurcation and snapping behaviour in the sense of a cusp catastrophe. Additionally, possibility of mode-jumping is indicated.
Journal
Acta Mechanica – Springer Journals
Published: Feb 1, 2005