Symmetries of differential equations describing beams and plates on elastic foundations

被引：6

作者：

Bocko, Jozef ^{[1
]}

Nohajova, Viera ^{[1
]}

Harcarik, Tomas ^{[1
]}

机构：

[1] Tech Univ Kosice, Fac Mech Engn, Dept Appl Mech & Mechatron, Kosice 04200, Slovakia

来源：

MODELLING OF MECHANICAL AND MECHATRONICS SYSTEMS | 2012年 / 48卷

关键词：

Symmetry; differential equation; Lie group; infinitesimal generator; beam; plate; elastic foundation; SHELL-MODEL; LIE; FORMULATION;

D O I：

10.1016/j.proeng.2012.09.483

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Symmetries of differential equations play very important role in understanding of their properties. In principle, the only systematic general method for finding solutions of differential equations is based on the theory of Lie group symmetries of differential equations. Despite of this fact, the underlying theory is relatively unknown in community of engineers. The paper describes some important questions concerning Lie groups in the context of differential equations that describe beams and plates on elastic foundations. (C) 2012 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of the Branch Office of Slovak Metallurgical Society at Faculty of Metallurgy and Faculty of Mechanical Engineering, Technical University of Kosice

引用

页码：40 / 45

页数：6

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