Response of Resilient-End Supported Beam on Elastic Sub-Grade to a Moving Point Load


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Abstract


In this study, the response of a resilient- end supported beam on an elastic sub-grade to a moving concentrated load is obtained using the method of the harmonic series analysis. Numerical examples are given in order to determine the effects of various parameters on the dynamic response of the beam. From the solutions obtained, within the ranges of parameters considered, it was seen that for the case of simply-supported beams the series solutions converge very rapidly, and an increase in the elastic foundation parameter results in the decrease in beam deflections with the maximum dynamic deflections occurring under the load. Furthermore, for the very low speeds of the load the deflection profile becomes symmetric with respect to the load.
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Keywords


Resilient-End Supported Beam; Elastic Sub-Grade; Moving Point Load; Dynamic Response

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References


Wills R., Report of the Commissioners Appointed to Inquire into Application of Iron to Railway Structures, Appendix B, W. Clowes and Sons, London, 1849.
http://dx.doi.org/10.1016/0016-0032(50)90098-6

Stokes G. G., Mathematical and Physical Papers, Vol. II, Cambridge University Press, 1883, pp.178-220.
http://dx.doi.org/10.1017/cbo9780511702259.013

Fryba L., Vibrations of Solids and Structures under Moving Loads, Noordhoff International, 1972.
http://dx.doi.org/10.1007/978-94-011-9685-7_27

Timoshenko S. P., On the Transverse Vibrations of Bars of Uniform Cross Section, Philosophical Magazine, 43, 1922.
http://dx.doi.org/10.1080/14786442208633855

Nayyeri Amiri S., Onyango M., Simply Supported Beam Response on Elastic Foundation Carrying Repeated Rolling Concentrated Loads, Journal of Engineering Science and Technology, Vol. 5, No. 1 (2010) 52 – 66.
http://dx.doi.org/10.3390/mca6020147

H. P. Lee, On the dynamic behaviour of a beam with an accelerating mass, Archive of Applied Mechanics, October 1995, p.64-571.
http://dx.doi.org/10.1007/bf00789097

Seong-Min Kim, Vibration and stability of axial loaded beams on elastic foundation under moving harmonic loads, Engineering Structures, January 2004, pp. 95-105.
http://dx.doi.org/10.1016/j.engstruct.2003.09.001

Thambiratnam D., Zhuge Y., Dynamic Analysis of Beams on an Elastic Foundation Subjected to Moving Loads, Journal of Sound and Vibration (1996), pp. 149-169.
http://dx.doi.org/10.1006/jsvi.1996.0562

Oni S. T., Awodola T. O., Dynamic response under a moving load of an elastically supported non-prismatic Bernoulli-Euler beam on variable elastic foundation, Latin American Journal of Solids and structures, 7(2010) pp. 3 – 20.
http://dx.doi.org/10.1590/s1679-78252014000900003

G. Muscolino, A. Palmeri, Response of beams resting on viscoelastically damped foundation to moving oscillators, International Journal of Solids and Structures, 44(5), pp.1317–1336, 2007.
http://dx.doi.org/10.1016/j.ijsolstr.2006.06.013

Changyong Cao, Yang Zhong, Aimin Sun, Dynamic Response of Rigid Airport Pavements under a Moving Aircraft Load with Variable Velocities, International Conference on Transportation Engineering 2007, pp. 192-197.
http://dx.doi.org/10.1061/40932(246)32

Kien N., Dynamic Response of Prestressed Timoshenko Beams Resting on Two-Parameter Foundation to Moving Harmonic Load, Technische Mechanik, Band 28, Heft 3-4, (2008), pp. 237 – 258.
http://dx.doi.org/10.15625/0866-7136/28/3/5577


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