Theoretical and experimental study on the transverse vibration properties of an axially moving nested cantilever beam

2014 ◽  
Vol 333 (13) ◽  
pp. 2885-2897 ◽  
Author(s):  
Ying-Chang Duan ◽  
Jian-Ping Wang ◽  
Jing-Quan Wang ◽  
Ya-Wen Liu ◽  
Fei Shao
Keyword(s):  
Experimental Study ◽  
Cantilever Beam ◽  
Transverse Vibration ◽  
Vibration Properties ◽  
Axially Moving

Study on Modal Shape of the Vibration of an Axially Moving Cantilever Beam with Tip Mass

2011 ◽  
Vol 211-212 ◽  
pp. 200-204 ◽  
Author(s):  
Li Wang ◽  
Huai Hai Chen ◽  
Xu Dong He
Keyword(s):  
Theoretical Result ◽  
Cantilever Beam ◽  
Transverse Vibration ◽  
Experimental Result ◽  
Modal Shape ◽  
Vibration Equation ◽  
The Difference ◽  
Axially Moving ◽  
Set Up ◽  
Tip Mass

The transverse vibration equation of an axially moving cantilever beam with tip mass is given. The instant linearized equations are set up based on Galerkin’s method. The tip mass influences to the first three order modes of the beam are computed. The calculated responses using the modes with tip mass are compared with the results using the modes without tip mass. Modes without tip mass can replace the modes with tip mass while the tip mass is small. The heavier the tip mass is, the bigger the difference of using the replacement is. It is found that the experimental result is fit well with the theoretical result using the modes with tip mass.

The Modelling of the Opening and Closure of a Crack

1995 ◽  
Vol 117 (3A) ◽  
pp. 370-377 ◽  
Author(s):  
O. N. L. Abraham ◽  
J. A. Brandon
Keyword(s):  
Fourier Series ◽  
Cantilever Beam ◽  
Time Domain ◽  
Dry Friction ◽  
Transverse Crack ◽  
Normal Modes ◽  
Time Varying ◽  
Interaction Forces ◽  
Vibration Properties ◽  
Connection Matrices

The paper presents a method which utilizes substructure normal modes to predict the vibration properties of a cantilever beam with a breathing transverse crack. The two segments of the cantilever beam, separated by the crack, are related to one another by time varying connection matrices representing the interaction forces. The connection matrices are expanded in a Fourier series leading to a classical eigenvalue problem. Subsequently, the initial formulation is extended to avoid interference of the crack interfaces with a time domain formulation. The Lagrange multipliers, used to enforce the exact continuity constraints when the crack is closed, produce the interfaces forces needed for the modelling of interface dry friction.

Experimental study on variation of mechanical properties of a cantilever beam of bamboo

2015 ◽  
Vol 101 ◽  
pp. 784-790 ◽  
Author(s):  
Mojtaba Armandei ◽  
Ibrahim Fathi Darwish ◽  
Khosrow Ghavami
Keyword(s):  
Mechanical Properties ◽  
Experimental Study ◽  
Cantilever Beam

Research on the Vibration of Sheet Metal near the Zinc Pot Area in Continuous Hot-Dip Galvanizing Line

2011 ◽  
Vol 141 ◽  
pp. 471-477 ◽  
Author(s):  
Pei Min Xu ◽  
Biao Wang ◽  
Jin Jie Ye ◽  
Hai Juan Zhang ◽  
Zhi Lai Huang ◽  
...  
Keyword(s):  
Sheet Metal ◽  
Transverse Vibration ◽  
Cooling Tower ◽  
The Other ◽  
Control Parameters ◽  
Main Factors ◽  
Axially Moving ◽  
Vibration Tests ◽  
Air Knife ◽  
Excited Resonance

Large vibration of the sheet metal near the air knife is one of the main factors controlling the accuracy of thickness of the cladding zinc in continuous hot-dip galvanizing line. Lots of vibration tests are carried out on the strip and main equipments in the zinc pot area of a galvanizing line during downtime and operation in order to diagnose causes of the large vibration of the strip near the air knife. Theoretic foundation of adjustment of control parameters to suppress the strip vibration is established. Main mechanisms of large vibration of the strip are found by the theory of the transverse vibration of axially moving continua. The first one is the resonance of forced vibration induced by support movement aroused by passive rollers’ sloshing in the zinc pot, and the other is the parametrically excited resonance of the strip induced by tension fluctuation enlarged by local structural resonances of the cooling tower.

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.

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