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Stability of slightly wrinkled plates interacting with an elastic subsoil

Michalak B.

Engineering Transactions

1999

Vol. 47, iss. 3

269-283

The fisrt aim of the contribution is to formulate an engineering theory describing the linear stability of periodically waved shallow shell-like structures (slightly wrinkled plates, cf. Fig. 1) interacting with a Winkler foundation. On the basis of the proposed theory, the effect of elactic foundation on the value of a critical force is investigated. The second aim is to compare the proposed model of wrinkled plates resting on elastic medium with the known theories of orthotropic plates. It is shown that the obtained solution depend on the shell wavelength parameter l. The general results are illustrated by an example.