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Haiyan Hu, D. Jin (2001)
Non-linear dynamics of a suspended travelling cable subject to transverse fluid excitationJournal of Sound and Vibration, 239
JL Huang SH Chen (2005)
On internal resonance of nonlinear vibration of axially moving beamsChinese Journal of Theoretical Applied Mechanics, 37
H. Öz, M. Pakdemirli, H. Boyaci (2001)
Non-linear vibrations and stability of an axially moving beam with time-dependent velocityInternational Journal of Non-linear Mechanics, 36
LQ Chen XD Yang (2005)
Nonlinear free vibration of an axially moving beam on fixed supportsActa Mechanica Solida Sinica, 18
HY Hu DP Jin (2001)
Dynamic configurations of a traveling cable subject to transverse fluid excitationChinese Journal of Theoretical Applied Mechanics, 33
Liqun Chen (2005)
Analysis and Control of Transverse Vibrations of Axially Moving StringsApplied Mechanics Reviews, 58
HY Hu ZH Feng (2001)
Dynamic stability of a slender beam with internal resonance under a large linear motionChinese Journal of Theoretical Applied Mechanics, 34
S. Park (2001)
Analytical modeling of viscoelastic dampers for structural and vibration controlInternational Journal of Solids and Structures, 38
J. Wickert, C. Mote (1991)
Response and Discretization Methods for Axially Moving MaterialsApplied Mechanics Reviews, 44
B. Ravindra, W. Zhu (1998)
Low-dimensional chaotic response of axially accelerating continuum in the supercritical regimeArchive of Applied Mechanics, 68
H. Öz, M. Pakdemirli, E. Özkaya (1998)
TRANSITION BEHAVIOUR FROM STRING TO BEAM FOR AN AXIALLY ACCELERATING MATERIALJournal of Sound and Vibration, 215
J. Wickert (1992)
Non-linear vibration of a traveling tensioned beamInternational Journal of Non-linear Mechanics, 27
Xiaodong Yang, Liqun Chen (2005)
The Stability of an Axially Accelerating Beam on Simple Supports with Torsion SpringsActa Mechanica Solida Sinica, 18
Liqun Chen, Xiaodong Yang (2005)
Steady-state response of axially moving viscoelastic beams with pulsating speed: comparison of two nonlinear modelsInternational Journal of Solids and Structures, 42
A. Nayfeh (1981)
Introduction To Perturbation Techniques
J. Wickert, C. Mote (1988)
Current Research on the Vibration and Stability of Axially-Moving MaterialsThe Shock and Vibration Digest, 20
J. Wickert, C. Mote (1990)
Classical Vibration Analysis of Axially Moving ContinuaJournal of Applied Mechanics, 57
M. Pakdemirli, A. Ulsoy (1997)
STABILITY ANALYSIS OF AN AXIALLY ACCELERATING STRINGJournal of Sound and Vibration, 203
A. Ulsoy, C. Mote, R. Szymni (1978)
Principal developments in band saw vibration and stability researchHolz als Roh- und Werkstoff, 36
M. Pakdemirli (1999)
VIBRATIONS OF AN AXIALLY MOVING BEAM WITH TIME-DEPENDENT VELOCITYJournal of Sound and Vibration, 227
K. Sze, S. Chen, J. Huang (2005)
The Incremental Harmonic Balance Method for Nonlinear Vibration of Axially Moving BeamsJournal of Sound and Vibration, 281
Abstract The non-linear forced vibration of axially moving viscoelastic beams excited by the vibration of the supporting foundation is investigated. A non-linear partial-differential equation governing the transverse motion is derived from the dynamical, constitutive equations and geometrical relations. By referring to the quasi-static stretch assumption, the partial-differential non-linearity is reduced to an integro-partial-differential one. The method of multiple scales is directly applied to the governing equations with the two types of non-linearity, respectively. The amplitude of near- and exact-resonant steady state is analyzed by use of the solvability condition of eliminating secular terms. Numerical results are presented to show the contributions of foundation vibration amplitude, viscoelastic damping, and nonlinearity to the response amplitude for the first and the second mode.
"Acta Mechanica Solida Sinica" – Springer Journals
Published: Dec 1, 2006
Keywords: Theoretical and Applied Mechanics; Surfaces and Interfaces, Thin Films; Classical Mechanics
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