Wydział Mechaniczny / Faculty of Mechanical Engineering / W1

Stały URI zbioruhttp://hdl.handle.net/11652/1

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20041

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Autorsearch.filters.applied.operator.equals: search.filters.author.Jędrysiak, JarosławTematsearch.filters.applied.operator.equals: search.filters.subject.cienkie periodyczne płyty

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    Application of the tolerance averaging method to analysis of dynamical stability of thin periodic plates.
    (Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej, 2004) Jędrysiak, Jarosław
    Some problems of a dynamical stability of thin periodic plates are considered. As a tool to derive the governing equations of an averaged non-asymptotic plate model the tolerance averaging is applied, proposed for periodic composites and structures by Woźniak and Wierzbicki (2000). This method applied to the known Kirchoff-type plate equation leads to averaged models taking into account the effect of the period lengths on the overall plate behaviour (Jędrysiak, 2001). Here, a non-asymptotic model describing the problems of a dynamical stability of periodic plates is formulated. Moreover, it is shown that the effect of the period lengths plays a crucial role in some special cases of dynamical stability of such plates, i.e. for higher oscillation frequencies of compressive forces in the plate midplane.