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

被引:26
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
收藏
页码:855 / 860
页数:6
相关论文
共 12 条
[1]  
Baron E, 2003, J THEOR APPL MECH, V41, P305
[2]  
Caillerie D., 1984, Math. Methods Appl. Sci., V6, P159, DOI DOI 10.1002/mma.1670060112
[3]   The length-scale effect in the buckling of thin periodic plates resting on a periodic Winkler foundation [J].
Jedrysiak, J .
MECCANICA, 2003, 38 (04) :435-451
[4]   On the stability of thin periodic plates [J].
Jedrysiak, J .
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2000, 19 (03) :487-502
[5]  
JEDRYSIAK J, 2001, SCI B LODZ TECH U, V872
[6]  
Jedrysiak J., 2004, J THEOR APPL MECH, V42, P357
[7]  
Kaliski S, 1992, VIBRATIONS
[8]   A NEW MODEL FOR THIN PLATES WITH RAPIDLY VARYING THICKNESS [J].
KOHN, RV ;
VOGELIUS, M .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1984, 20 (04) :333-350
[9]   Stability of elastic slightly wrinkled plates [J].
Michalak, B .
ACTA MECHANICA, 1998, 130 (1-2) :111-119
[10]  
Timoshenko S.P., 1970, THEORY ELASTIC STABI, V3rd