The stability of mechanical systems with positional non-conservative forces

被引：3

作者：

Ivanov, AP

机构：

来源：

PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS | 2003年 / 67卷 / 05期

关键词：

D O I：

10.1016/S0021-8928(03)90034-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A classical problem is discussed, namely, the influence of the structure of the applied forces on the stability of the equilibrium position of an autonomous mechanical system. Several propositions extending the Thomson-Tate-Chetayev theorems to systems with non-conservative positional forces are proved. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：625 / 629

页数：5

共 50 条

[31] The inverse problem for Lagrangian systems with certain non-conservative forces
Mestdag, T.
Sarlet, W.
Crampin, M.
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2011, 29 (01) : 55 - 72
[32] ON THE DESTABILIZING ACTION OF SMALL DISSIPATIVE FORCES ON NON-CONSERVATIVE SYSTEMS
BANICHUK, NV
BRATUS, AS
MYSHKIS, AD
DOKLADY AKADEMII NAUK SSSR, 1989, 309 (06): : 1325 - 1327
[33] Integrability and the variational formulation of non-conservative mechanical systems
Delphenich, D. H.
ANNALEN DER PHYSIK, 2009, 18 (01) : 45 - 56
[34] Computation of nonlinear modes of non-conservative mechanical systems
Jahn, M.
Tatzko, S.
Panning-von Scheidt, L.
Wallaschek, J.
PROCEEDINGS OF INTERNATIONAL CONFERENCE ON NOISE AND VIBRATION ENGINEERING (ISMA2018) / INTERNATIONAL CONFERENCE ON UNCERTAINTY IN STRUCTURAL DYNAMICS (USD2018), 2018, : 2687 - 2700
[35] VIBRATION AND STABILITY OF NON-CONSERVATIVE FOLLOWER FORCE SYSTEMS
BAILEY, CD
HAINES, JL
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1981, 26 (01) : 1 - 31
[36] Stability and response bounds of non-conservative linear systems
Kliem, W
Pommer, C
ARCHIVE OF APPLIED MECHANICS, 2004, 73 (9-10) : 627 - 637
[37] SIMPLIFIED STABILITY-CRITERION FOR NON-CONSERVATIVE SYSTEMS
FAWZY, I
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1979, 46 (02): : 423 - 426
[38] To the stability of non-conservative systems in one degenerate case
Agafonov, SA
2003 INTERNATIONAL CONFERENCE PHYSICS AND CONTROL, VOLS 1-4, PROCEEDINGS: VOL 1: PHYSICS AND CONTROL: GENERAL PROBLEMS AND APPLICATIONS; VOL 2: CONTROL OF OSCILLATIONS AND CHAOS; VOL 3: CONTROL OF MICROWORLD PROCESSES. NANO- AND FEMTOTECHNOLOGIES; VOL 4: NONLINEAR DYNAMICS AND CONTROL, 2003, : 1061 - 1064
[39] The stability of non-conservative systems and an estimate of the domain of attraction
Agafonov, SA
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2003, 67 (02): : 209 - 213
[40] EIGENVALUES AND TRANSFER MATRICES FOR NON-CONSERVATIVE MECHANICAL SYSTEMS
SANDI, H
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1970, 50 (05): : 325 - &

← 1 2 3 4 5 →