The tolerance averaging model of dynamic stability of thin plates with one-directional periodic structure

被引:25
|
作者
Jedrysiak, J. [1 ]
机构
[1] Tech Univ Lodz, Dept Struct Mech, PL-90924 Lodz, Poland
关键词
thin periodic plate; dynamic stability; the effect of the period lengths;
D O I
10.1016/j.tws.2007.08.006
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
A dynamic stability of thin plates with one-directional periodic structure is investigated. An averaged non-asymptotic approach, called the tolerance averaging, is applied to derive governing equations of these plates. Obtained tolerance model equations of the Kirchhoff-type plate take into account the effect of the period lengths on the overall plate behaviour [Jedrysiak J. Dispersive models of thin periodic plates. Theory and applications. Sci. Bul. Lodz Tech. Univ., No. 872, series. Sci Trans 289, Lodz, 2001 [in Polish]]. It is shown that this effect plays a crucial role in some special cases of a dynamic stability of such plates. (c) 2007 Elsevier Ltd. All rights reserved.
引用
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页码:855 / 860
页数:6
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