|
|
Vibration analysis of a simply supported beam
under moving mass based on moving finite element method |
Zhuchao YE,Huaihai CHEN, |
Institute of Vibration
Engineering, Nanjing University of Aeronautics & Astronautics,
Nanjing 210016, China; |
|
|
Abstract In this paper, a moving finite element (MFE) method is proposed to perform the dynamic analysis of a simply supported beam for a moving mass (MM). The MFE method treats the moving mass as a moving part of the entire system, so that the transverse inertial effects caused by the moving mass may easily be taken into account. The solution to the beam’s dynamic behaviors including its displacement is obtained via a Newmark-β method; the effects of the velocity and weight of the MM on the beam’s dynamic behaviors are further discussed. The numerical examples show that the inertial effects of the MM significantly affect the transverse responses of the simply supported beam.
|
Keywords
simply supported beam
moving mass (MM)
transverse vibration
moving finite element (MFE)
|
Issue Date: 05 December 2009
|
|
|
Stanisic M M, Hardin J C. On the response of beamsto an arbitrary number of concentrated moving masses. J Franklin Inst, 1969, 287: 115―123
doi: 10.1016/0016-0032(69)90120-3
|
|
Esmailzadeh E, Ghorashi M.Vibration analysis of beamstraversed by uniform partially distributed moving mass. Sound and vibration, 1995, 184(1): 9―17
doi: 10.1006/jsvi.1995.0301
|
|
Fryba L. Vibrationof Solids and Structures under Moving Masses. London: Thomas Telford, 1999
|
|
Duffy D G. The response of an infinite railroad track to a moving, vibratingmass. ASME J Appl Mech, 1990, 57: 66―73
|
|
Liu Y J. Introduction to the finite element method. The University of Cincinnati, 2003
|
|
Wu J J. Dynamic analysis of an inclined beam due to moving loads. Sound and Vibration, 2005, 288: 107―131
doi: 10.1016/j.jsv.2004.12.020
|
|
Robert T K. The Foundation and Application of the Finite Element Analysis. Xi’an: Xi’an Communication University Press, 2007
|
|
Chien T. Dynamicvehicle element method for transient response of coupled vehicle-structuresystems. Structural Engineering, 2002, 128: 214―223
doi: 10.1061/(ASCE)0733-9445(2002)128:2(214)
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
|
Shared |
|
|
|
|
|
Discussed |
|
|
|
|