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2022, vol. 20, iss. 1, pp. 53-62
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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
email: 090730@mail.tku.edu.tw
Project: 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
Abstract
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.
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References
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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
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