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- W1990654966 abstract "The stability of post-buckled states for simply-supported flat elastic plates under compression is investigated for a range of in-plane boundary conditions. The von Kármán plate equations are reduced to a series of ODEs which are solved numerically under parametric variation of both load and length. Results are checked against full numerical solutions of the PDEs, and comparison with a modal analysis highlights the dominant passive contaminations. The nondimensional amplitude at secondary bifurcation, for any combination of modes and all plate lengths, is presented in a concise form using the parameter space of Arnold tongues. This demonstrates that compound bifurcation represents a worst case for post-buckling reserve, and that long plates have inherently more such reserve than short plates. It is also shown that stiffening the boundaries against in-plane movement is destabilizing, in that it induces mode jumping at secondary bifurcation to occur at an earlier stage in the post-buckling regime." @default.
- W1990654966 created "2016-06-24" @default.
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- W1990654966 date "1999-10-01" @default.
- W1990654966 modified "2023-10-16" @default.
- W1990654966 title "Arnold tongue predictions of secondary buckling in thin elastic plates" @default.
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- W1990654966 doi "https://doi.org/10.1016/s0022-5096(99)00008-3" @default.
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