LINEAR AND NON-LINEAR PROBLEMS OF PLATE DYNAMICS

被引：0
|
作者：
Baradokas, P. [1 ]
Michnevic, E. [1 ]
Syrus, L. [1 ]
机构：
[1] Vilnius Gediminas Tech Univ, Dept Theoret Mech, Sauletekio Al 11, LT-10223 Vilnius, Lithuania
来源：
AVIATION | 2007年 / 11卷 / 04期
关键词：
plates; linear analysis; nonlinear analysis;
D O I：
10.1080/16487788.2007.9635971
中图分类号：
V [航空、航天];
学科分类号：
08 ; 0825 ;
摘要：
This paper presents a comparative analysis of linear and non-linear problems of plate dynamics. By expressing the internal friction coefficient of the material by power polynomial gamma = gamma(0) + gamma(1) epsilon(0) + gamma(2) epsilon(2)(0) +... ,we assume gamma = gamma(0) = const for a linear problem. When at least two polynomial terms are taken, a non- linear problem is obtained. The calculations of resonance amplitudes of a rectangular plate yielded 3 per cent error: a linear problem yields a higher resonance amplitude. Using the Ritz method and the theory of complex numbers made the calculations. Similar methods of calculation can be used in solving the dynamic problems of thin- walled vehicle structures.
引用
收藏
页码：9 / 13
页数：5
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