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

页码：1263 / 1277

页数：15

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