Dynamic modelling of thin plate made of certain functionally graded materials

被引：30

作者：

Michalak, B. ^{[1
]}

Wirowski, A. ^{[1
]}

机构：

[1] Tech Univ Lodz, Dept Struct Mech, PL-93590 Lodz, Poland

来源：

MECCANICA | 2012年 / 47卷 / 06期

关键词：

Composite plate; Modeling; Dynamic; Functionally graded material; NATURAL FREQUENCIES; RECTANGULAR PLATE; VIBRATION; FOUNDATION; THICKNESS; BEHAVIOR; SOLIDS;

D O I：

10.1007/s11012-011-9532-z

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The aim of the contribution is to formulate a macroscopic mathematical model describing the dynamic behaviour of a certain composite thin plates. The plates are made of two-phase stratified composites with a smooth and a slow gradation of macroscopic properties along the stratification. The formulation of mathematical model of these plates is based on a tolerance averaging approach (WoA(0)niak, Michalak, JA (TM) drysiak in Thermomechanics of microheterogeneous solids and structures, 2008). The presented general results are illustrated by analysis of the natural frequencies for two cases of plates: a plate band and an annular plate. The spatial volume fractions of the two different isotropic homogeneous components are optimized so as to maximize or minimize the first natural frequency of the plate under consideration.

引用

页码：1487 / 1498

页数：12

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