Sliding Motions on a Periodically Time-varying Boundary for a Friction-induced Oscillator

被引：4

作者：

Gegg, B. C. ^{[1
]}

Luo, A. C. J. ^{[2
]}

Suh, S. C. ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Mech Engn, College Stn, TX 77840 USA

[2] So Illinois Univ, Dept Mech & Ind Engn, Edwardsville, IL 62026 USA

来源：

JOURNAL OF VIBRATION AND CONTROL | 2009年 / 15卷 / 05期

关键词：

Sliding motion; force product; non-smooth dynamical systems; sliding fragmentation; DRY-FRICTION; DYNAMICS; SYSTEM; BIFURCATIONS; VIBRATION; COULOMB; BASE;

D O I：

10.1177/1077546308095226

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In this paper, the analytical conditions for sliding and passable motions on the periodically time-varying boundary in a friction-induced oscillator are presented first through the relative force product. The force product for the sliding motion in such a friction-induced oscillator is less than zero. However, the force product is greater than zero for the passable motion. Based on such analytical conditions, the criteria for the onset and vanishing of the sliding motion are developed. The sliding fragmentation for such an oscillator is discussed. The effects of system parameters to the sliding motion are discussed by use of the sliding mapping. Finally, the sliding motions for such a friction-induced oscillator are illustrated. From this investigation, the force product criterion is very useful to determine existence of the sliding and passable motions in such discontinuous dynamical systems. Such an investigation may provide a different way for sliding mode controls in dynamical systems.

引用

页码：671 / 703

页数：33

共 50 条

[21] Optimum linear periodically time-varying filter
Wei, D
PROCEEDINGS OF THE TENTH IEEE WORKSHOP ON STATISTICAL SIGNAL AND ARRAY PROCESSING, 2000, : 123 - 126
[22] A behavioral framework for periodically time-varying systems
Kuijper, M
Willems, JC
PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 2013 - 2016
[23] Optimum linear periodically time-varying filter
Wei, Dong
IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP, 2000, : 123 - 126
[24] INVERTIBILITY OF LINEAR PERIODICALLY TIME-VARYING FILTERS
VETTERLI, M
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1989, 36 (01): : 148 - 150
[25] PERIODICALLY TIME-VARYING SYSTEM - AN INSTABILITY CRITERION
BICKART, TA
PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1967, 55 (11): : 2057 - &
[26] A STABILITY CRITERION FOR PERIODICALLY TIME-VARYING SYSTEMS
LAL, M
DIXIT, SB
AVASTHY, PN
PROCEEDINGS OF THE IEEE, 1969, 57 (02) : 226 - &
[27] Synthesis of a periodically time-varying digital filter
Cherniakov, M
Sizov, VI
Donskoi, L
IEE PROCEEDINGS-VISION IMAGE AND SIGNAL PROCESSING, 2000, 147 (05): : 393 - 399
[28] Sliding and transversal motions on an inclined boundary in a periodically forced discontinuous system
Luo, Albert C. J.
Rapp, Brandon M.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (01) : 86 - 98
[29] Periodic motions in a periodically forced oscillator moving on the oscillating belt with dry friction
Luo, Albert C. J.
Gegg, Brandon C.
PROCEEDINGS OF THE ASME DESIGN ENGINEERING DIVISION 2005, PTS A AND B, 2005, : 925 - 937
[30] Periodic motions in a periodically forced oscillator moving on an oscillating belt with dry friction
Luo, Albert C. J.
Gegg, Brandon C.
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2006, 1 (03): : 212 - 220

← 1 2 3 4 5 →