Vibration analysis of beams traversed by moving load is an old and well known topic in structural mechanics, and has been of great interest for researchers of different fields, such as mechanical, railway and civil engineering. Many researchers have conducted different investigations in this field. In the present research, the nonlinear vibration of the system is studied and consequently the response of the system to a moving load is determined as a closed form solution. Furthermore, the effects of load amplitude on the response of the system are investigated. Galerkin’s method is first utilized to truncate the governing equation of motion and then MMS (Method of Multiple Scales) perturbation method is applied to study the nonlinear vibration of the system, in the presence of the internal resonance. Effects of damping of the foundation as well as magnitude of the moving load on the frequency responses are investigated. The proposed methodology and obtained results can be used to investigate the behavior several systems among which railway system shows a good compatibility.
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ASME 2008 International Mechanical Engineering Congress and Exposition
October 31–November 6, 2008
Boston, Massachusetts, USA
Conference Sponsors:
- ASME
ISBN:
978-0-7918-4872-2
PROCEEDINGS PAPER
Internal Resonance of Finite Beams on Nonlinear Foundations Traversed by a Moving Load
Masoud Ansari,
Masoud Ansari
University of Ontario Institute of Technology, Oshawa, ON, Canada
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Ebrahim Esmailzadeh,
Ebrahim Esmailzadeh
University of Ontario Institute of Technology, Oshawa, ON, Canada
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Davood Younesian
Davood Younesian
Iran University of Science and Technology, Tehran, Iran
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Masoud Ansari
University of Ontario Institute of Technology, Oshawa, ON, Canada
Ebrahim Esmailzadeh
University of Ontario Institute of Technology, Oshawa, ON, Canada
Davood Younesian
Iran University of Science and Technology, Tehran, Iran
Paper No:
IMECE2008-68188, pp. 321-329; 9 pages
Published Online:
August 26, 2009
Citation
Ansari, M, Esmailzadeh, E, & Younesian, D. "Internal Resonance of Finite Beams on Nonlinear Foundations Traversed by a Moving Load." Proceedings of the ASME 2008 International Mechanical Engineering Congress and Exposition. Volume 11: Mechanical Systems and Control. Boston, Massachusetts, USA. October 31–November 6, 2008. pp. 321-329. ASME. https://doi.org/10.1115/IMECE2008-68188
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