Journal of Applied Engineering Science
how to cite this article
share this article


  • citations in SCIndeks: 0
  • citations in CrossRef:0
  • citations in Google Scholar:[]
  • visits in previous 30 days:4
  • full-text downloads in 30 days:4


article: 3 from 51  
Back back to result list
2022, vol. 20, iss. 1, pp. 53-62
Vibration reduction of continuous moving loads on a nonlinear simple beam resting on an elastic foundation
Tamkang University, Department of Aerospace Engineering, New Taipei City, Taiwan
This research was supported by the Ministry of Science and Technology of Taiwan, Republic of China (Title of the project: Analysis and verification of space rockets - subproject: Vibration reducing on space rockets. Grant number: MOST 109-2224-E-006-004)

Keywords: internal resonance; fixed points plot; vibration; dynamic vibration absorber
This technical note investigates a hinged-hinged nonlinear Euler-Bernoulli beam resting on an elastic foundation subjects to moving loads. The method of multiple scales (MOMS) is employed to analyze this nonlinear beam model. The fixed points plots are made to identify the system's internal resonance. The frequency ratio plot is proposed to predict the system internal resonance conditions. This study improved the author's earlier work for a wider range of prediction on internal resonance conditions. The continuous concentrated moving loads are applied to this nonlinear beam model. The dynamic vibration absorber (DVA) is attached on the beam to reduce vibration and prevent internal resonance. The mass, spring constant and location of the DVA are studied to obtain the best damping effect on the nonlinear beam with moving loads. The results are verified by numerical results and ANSYS simulations.
Kumar, S.C.P., Sujatha, C.P., Shankar, K. (2015) Vibration of simply supported beams under a single moving load: A detailed study of cancellation phenomenon. International Journal of Mechanical Sciences, 99: 40-47
Mundrey, J.S. (2000) Railway Track Engineering. New Delhi: Tata McGraw-Hill
Nayfeh, A.H., Mook, D.T. (1995) Forced Oscillations of Systems Having a Single Degree of Freedom. in: Nonlinear Oscillations, New York: Wiley-VCH Verlag GmbH, Ch.4, 161-257
Nayfeh, A.H., Pai, F.P. (2004) Linear and Nonlinear Structural Mechanics. New York: Wiley, Ch.4 Beams. 171-265
Samani, F.S., Pellicano, F. (2012) Vibration reduction of beams under successive traveling loads by means of linear and nonlinear dynamic absorbers. Journal of Sound and Vibration, 331(10): 2272-2290
Uzzal, R.U.A., Bhat, R.B., Ahmed, W. (2012) Dynamic response of a beam subjected to moving load and moving mass supported by Pasternak foundation. Shock and Vibration, 19: 205-220
Wang, Y.R., Feng, C.K., Chen, S.Y. (2018) Damping effects of linear and nonlinear tuned mass dampers on nonlinear hinged-hinged beam. Journal of Sound and Vibration, 430: 150-173
Wang, Y.R., Wei, Y.H. (2020) Internal resonance analysis of a fluid-conveying tube resting on a nonlinear elastic foundation. European Physical Journal Plus, 135(4)
Wang, Y.R., Kuo, T.H. (2016) Effects of a Dynamic Vibration Absorber on Nonlinear Hinged-Free Beam. Journal of Engineering Mechanics, 142(4): 04016003-04016003
Wang, Y.R., Lu, H.C. (2017) Damping Performance of Dynamic Vibration Absorber in Nonlinear Simple Beam with 1:3 Internal Resonance. International Journal of Acoustics and Vibration, 22(2): 167-185


article language: English
document type: Original Scientific Paper
DOI: 10.5937/jaes0-30916
received: 20/02/2021
accepted: 28/05/2021
published in SCIndeks: 18/03/2022
peer review method: double-blind
Creative Commons License 4.0

Related records

No related records