Lie Symmetry Analysis for Cosserat Rods

被引：0

作者：

Michels, Dominik L. ^{[1
]}

Lyakhov, Dmitry A.

Gerdt, Vladimir P. ^{[2
,3
]}

Sobottka, Gerrit A. ^{[4
]}

Weber, Andreas G. ^{[4
]}

机构：

[1] CALTECH, Dept Comp & Math Sci, 1200 E Calif Blvd,MC 305-16, Pasadena, CA 91125 USA

[2] Natl Acad Sci Belarus, AV Luikov Heat & Mass Transfer Inst, Radiat Gaseous Dynam Lab, Minsk 220072, BELARUS

[3] Joint Inst Nucl Res, Grp Algebra & Quantum Computat, Dubna 141980, Russia

[4] Univ Bonn, Inst Comp Sci 2, Multimedia Simulat & Virtual Real Grp, D-53113 Bonn, Germany

来源：

COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING, CASC 2014 | 2014年 / 8660卷

基金：

俄罗斯基础研究基金会;

关键词：

Cosserat Rods; General Solution; Janet Basis; Kirchhoff Rods; Lie Symmetry Method; DIFFERENTIAL-EQUATIONS;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We consider a subsystem of the Special Cosserat Theory of Rods and construct an explicit form of its solution that depends on three arbitrary functions in (s, t) and three arbitrary function in t. Assuming analyticity of the arbitrary functions in a domain under consideration, we prove that the obtained solution is analytic and general. The Special Cosserat Theory of Rods describes the dynamic equilibrium of 1-dimensional continua, i.e. slender structures like fibers, by means of a system of partial differential equations.

引用

页码：324 / 334

页数：11

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