Rotary inertia and temperature effects on non-linear vibration, steady-state response and stability of an axially moving beam with time-dependent velocity

2008 ◽  
Vol 50 (3) ◽  
pp. 389-404 ◽  
Author(s):  
M.H. Ghayesh ◽  
S.E. Khadem
Keyword(s):  
Steady State ◽  
Temperature Effects ◽  
Time Dependent ◽  
Rotary Inertia ◽  
Axially Moving Beam ◽  
Steady State Response ◽  
Linear Vibration ◽  
State Response ◽  
Moving Beam ◽  
Axially Moving

VIBRATIONS OF AN AXIALLY MOVING BEAM WITH TIME-DEPENDENT VELOCITY

1999 ◽  
Vol 227 (2) ◽  
pp. 239-257 ◽  
Author(s):  
H.R. ÖZ ◽  
M. PAKDEMİRLİ
Keyword(s):  
Time Dependent ◽  
Axially Moving Beam ◽  
Moving Beam ◽  
Axially Moving

scholarly journals Nonlinear Models for Transverse Forced Vibration of Axially Moving Viscoelastic Beams

2011 ◽  
Vol 18 (1-2) ◽  
pp. 281-287 ◽  
Author(s):  
Hu Ding ◽  
Li-Qun Chen
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Steady State ◽  
Transverse Vibration ◽  
Nonlinear Models ◽  
Transverse Motion ◽  
Steady State Response ◽  
Partial Differential ◽  
State Response ◽  
Axially Moving

Nonlinear models of transverse vibration of axially moving viscoelastic beams subjected external transverse loads via steady-state periodical response are numerically investigated. An integro-partial-differential equation and a partial-differential equation of transverse motion can be derived respectively from a model of the coupled planar vibration for an axially moving beam. The finite difference scheme is developed to calculate steady-state response for the model of coupled planar and the two models of transverse motion under the simple support boundary. Numerical results indicate that the amplitude of the steady-state response for the model of coupled vibration and two models of transverse vibration predict qualitatively the same tendencies with the changing parameters and the integro-partial-differential equation gives results more closely to the coupled planar vibration.

Effects of rotary inertia on sub- and super-critical free vibration of an axially moving beam

Meccanica ◽  
2018 ◽  
Vol 53 (13) ◽  
pp. 3233-3249 ◽  
Author(s):  
Hu Ding ◽  
Yi Li ◽  
Li-Qun Chen
Keyword(s):  
Free Vibration ◽  
Rotary Inertia ◽  
Axially Moving Beam ◽  
Moving Beam ◽  
Axially Moving
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