Application of Lagrange's equation to rigid-elastic coupling dynamics

被引：0
|
作者：
FENG XiaoJiu [1 ]
LIANG LiFu [2 ]
SONG HaiYan [2 ]
机构：
[1] School of Environmental and Safety Engineering,Changzhou University
[2] College of Aerospace and Civil Engineering,Harbin Engineering University
来源：
Science China Technological Sciences | 2017年 / 08期
基金：
中国国家自然科学基金;
关键词：
nonlinear; rigid-elastic coupling dynamics; Lagrange’s equation; variational derivative;
D O I：
暂无
中图分类号：
O302 [力学中的数学方法];
学科分类号：
0701 ;
摘要：
A consistent focus in theoretical mechanics has been on how to apply Lagrange’s equation to continuum mechanics.This paper uses the concept of a variational derivative and its laws of operation to investigate the derivation of Lagrange’s equation,which is then applied to nonlinear elasto-dynamics.In accordance with the work-energy principle and the energy conservation law,kinetic and potential energies are proposed for rigid-elastic coupling dynamics,whose governing equation is established by manipulating Lagrange’s equation.In addition,case studies are used to demonstrate the application of the proposed method to spacecraft dynamics.
引用
收藏
页码：1263 / 1277
页数：15
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