Response of beam with viscously damped axial force on elastic foundation
Author(s)
S.O. Sangoniyi , F.O. Akinpelu ,
Download Full PDF Pages: 78-86 | Views: 954 | Downloads: 223 | DOI: 10.5281/zenodo.3445914
Abstract
This paper examined the response of beam with viscously damped axial force on elastic foundation. The effects of the moving loads on beam with respect to the moving force and the moving mass were examined. The fourth order partial differential equation which is the governing equation was solved in form of series solution to obtain two distinct equations for both the moving force and the moving mass. These were finally solved numerically using maple software to determine the behaviour of the system under consideration. The results of the findings revealed that as damping coefficient (ω) increases the deflection decreases for both the moving force and the moving mass. In the same way, it was also noted that the deflection decreases as axial force (S) increases for both the two cases. It was also discovered that as elastic foundation (K) increases the deflection increases for both the moving force and the moving mass. Lastly, it was showed that the displacement for the moving mass is greater than that of the moving force.
Keywords
Beam, Axial force, Viscously damped, Elastic foundation and Moving loads.
References
- Adetunde, I. A. and Baba Seidu (2008): Dynamic response of Loads on viscously Damped axial force Rayleigh beam; America Journal of Applied Sciences 5 (9). 1110 – 1116.
ii. Akour, S.N. (2010) Dynamics of Nonlinear Beam on Elastic Foundation. Proceedings of the
a. World Congress on Engineering, London, U.K.
iii. Akour, S.N. (2012) Parametric Study of Nonlinear Beam Vibration Resting on Linear Elastic
a. Foundation. Journal of Mechanical Engineering and Automation. 2(6) 114-134
iv. Are E. B, Idowu A. S. and Gbadeyan J. A (2013). Vibration of damped simply supported
a. orthotropic rectangular plates resting on elastic winkler foundation, subjected to moving loads. Advances in Applied Science Research, 4(5). 387-393. Available online at www.pelagiaresearchlibrary.com.
v. Borş I. & Milchiş T. (2013). Dynamic Response of Beams on Elastic Foundation with Axial
a. Load. Acta Technica Napocensis: Civil Engineering & Architecture 56 (1). Journal homepage: http://constructii.utcluj.ro/ActaCivilEng.
vi. Idowu, A.S, Are, E.B, Joseph, K.M. & Daniel S.K. (2013). Dynamic effects of viscous damping
a. on isotropic rectangular plates resting on Pasternak foundation, subjected to moving loads. International Journals of Mathematics and Statistical Studies 1(2). 12-19. Published By European Journal of Research Training and Development UK (www.ea-journals.org)
vii. Kumari, S, Sahoo P. P. & Sawant, V. A. (2012). Dynamic response of railway track using two
a. parameter model. International Journal of Science and Engineering Applications (IJSEA) 1(2). 645 - 650.
viii. Sangoniyi, S.O. & Akinpelu, F.O. (2017). Dynamics Response of Beam on Elastic Foundation
a. with Axial Force to Partially Distributed Moving Loads. Asian Research Journal of Mathematics (ARJOM) 2 (2) SCIENCEDOMAIN international www.sciencedomain.org.
ix. Senalp, A.D., Arikoglu, A., Ozkol, I & Dogan, V.Z. (2010). Dynamic response of a finite length
a. Euler-Bernoulli beam on linear and nonlinear viscoelastic foundations to a concentrated moving force. Journal of Mechanical Science and Technology 24 (10) 1957-1961.
x. Wang, Y., Wang, Y., Zhang, B. & Shepard, S. (2011). Transient responses of beam with elastic
a. foundation supports under moving wave load excitation. International Journal of Engineering and Technology 1 (2). 137-143.