A new case of integrability in transcendental functions in the dynamics of solid body interacting with the environment

被引：1

作者：

Shamolin, M. B. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Res Inst Mech, Moscow, Russia

来源：

AUTOMATION AND REMOTE CONTROL | 2013年 / 74卷 / 08期

基金：

俄罗斯基础研究基金会;

关键词：

Software engineering;

D O I：

10.1134/S0005117913080146

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The first integrals of the dynamic part of the equations of the axially symmetric solid body moving in a resisting medium in the presence of an additional tracking force were listed completely. In the sense of complex analysis, the first integrals are the transcendental functions of their variables expressed in terms of a finite combination of the elementary functions.

引用

页码：1378 / 1392

页数：15

共 39 条

[1] A new case of integrability in transcendental functions in the dynamics of solid body interacting with the environment
M. B. Shamolin
[J]. Automation and Remote Control, 2013, 74 : 1378 - 1392
[2] Erratum to: “A new case of integrability in transcendental functions in the dynamics of solid body interacting with the environment”
M. B. Shamolin
[J]. Automation and Remote Control, 2013, 74 : 1771 - 1771
[3] A New Case of Integrability in Transcendental Functions in the Dynamics of Solid Body Interacting with the Environment (vol 8, pg 1378, 2013)
Shamolin, M. V.
[J]. AUTOMATION AND REMOTE CONTROL, 2013, 74 (10) : 1771 - 1771
[4] A new case of integrability in spatial dynamics of a rigid solid interacting with a medium under assumption of linear damping
M. V. Shamolin
[J]. Doklady Physics, 2012, 57 : 78 - 80
[5] A new case of integrability in spatial dynamics of a rigid solid interacting with a medium under assumption of linear damping
Shamolin, M. V.
[J]. DOKLADY PHYSICS, 2012, 57 (02) : 78 - 80
[6] New cases of integrability in sense of Jacobi, in dynamics of a rigid body, interacting with a medium
Shamolin, MV
[J]. DOKLADY AKADEMII NAUK, 1999, 364 (05) : 627 - 629
[7] New case of integrability in the dynamics of a multidimensional solid in a nonconservative field
Shamolin, M. V.
[J]. DOKLADY PHYSICS, 2013, 58 (11) : 496 - 499
[8] New case of integrability in the dynamics of a multidimensional solid in a nonconservative field
M. V. Shamolin
[J]. Doklady Physics, 2013, 58 : 496 - 499
[9] Cases of integrability of equations of solid body spatial dynamics
Shamolin, M.V.
[J]. Prikladnaya Mekhanika, 2001, 37 (06): : 74 - 82
[10] A new case of integrability in dynamics of a 4D-solid in a nonconservative field
M. V. Shamolin
[J]. Doklady Physics, 2011, 56 : 186 - 189

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