On the modelling of dynamic problems for plates with a periodic structure

被引：0
作者：
K. Mazur-Śniady
Cz. Woźniak
E. Wierzbicki
机构：
[1] Wroclaw University of Technology,Institute of Civil Engineering
[2] University of Technology,Institute of Mathematics and Computer Sciences, Częstochowa
来源：
Archive of Applied Mechanics | 2004年 / 74卷
关键词：
plate; 2D-modelling; dynamics; periodic structure; inhomogeneity;
D O I：
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学科分类号：
摘要：
The subject of analysis is the bending of elastic plates exhibiting a nonhomogeneous periodic structure and/or a periodically variable thickness in a certain direction parallel to the plate's midplane. The fundamental modelling problem is how to obtain an effective 2D-model of a plate under consideration, i.e., a 2D-model represented by PDEs with constant coefficients. This problem for periodic plates has been solved independently in [5] and [10], using asymptotic homogenization. However, homogenization neglects dynamic phenomena related to the plate's rotational inertia and cannot be applied to the analysis of higher-order vibration frequences. The main aim of this contribution is to formulate a new non-asymptotic effective 2D-model of a periodic plate which is free from the mentioned drawbacks and describes the dynamic behaviour of plates having the thickness of the order of the period length. The proposed model is applied to the analysis of some vibration problems.
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页码：179 / 190
页数：11
相关论文
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