FUW TRENDS IN SCIENCE & TECHNOLOGY JOURNAL

(A Peer Review Journal)
e–ISSN: 2408–5162; p–ISSN: 2048–5170

FUW TRENDS IN SCIENCE & TECHNOLOGY JOURNAL

THE TRACTION OF DOUBLE UNIFORM RAYLEIGH BEAMS SYSTEMS CLAMPED AT BOTH ENDS UNDER MOVING CONCENTRATED MASSES WITH CLASSICAL BOUNDRY CONDITION FOR MOVING MASS CASE
Pages: 1044-1053
S. O. Ajibola


keywords: Double uniform Rayleigh beam, critical speed, time-dependent, resonance

Abstract

This article is a continuation of my research work, here moving mass case of the dynamical system was considered. The dynamical problem is solved using Mindlin Goodman, (1950) Generalized Finite Integral Fourier, Laplace Integral transformations and then convolution theory. Using numerical example, various plots of the deflections for beams are presented and discussed for different values of axial force N, foundation modulli K and at fixed rotatory Inertial (r) and also for fixed axial force N and foundation moduli K but at various rotatory inertial (r) for moving mass.

References

Ajibola SO 2009. Dynamic analysis under moving concentrated loads of Rayleigh beam with time dependent boundary conditions. Federal University of Technology Akure (FUTA) Ondo State Ph.D Thesis. Ajibola SO 2011. Transverse Displacement of Clamped-Clamped non-uniform Rayleigh beam under moving concentrated masses resting on a constant Elastic foundation. J. Nig. Assoc. Maths. Phy., 18(1). Ajibola SO 2014. Dynamic response of double Rayleigh uniform beams systems clamped at both ends under moving concentrated loads with classical boundry condition. The Int. J. Sci. & Technoledge. The IJST Journal, II(VII): 334. Ajibola SO 2014. Vibration of uniform rayleigh beam clamped-clamped carrying concentrated masses undergoing traction. The Int. J. Sci & Technoledge (IJST), 11(VI). Gbadeyan JA & Oni ST 1995. Dynamic behaviour of beams and rectangular plates under moving loads. Journal of Sound and Vibrations, 182(5): 677-695. Gbadeyan JA & Agboola OO 2012. Dynamic behavior of a double Rayleigh beams system due to uniform partially distributed moving load. J. Appl. Sci. & Res., 8(1): 571-581. Mindlin RD & Goodman LE 1950. Beam vibrations with time-dependent boundary conditions. Jounal of Applied Mechanics, 17. Pp377-380. Omer Civalek & Aitung Yauas 2006. Large deflection static analysis of rectangular plates on two parameter elastic foundations. Int. J. Sci. & Techn., 1(1): 43-50. Oni ST & Ajibola SO 2009. Dynamical analysis under moving concentrated loads of Rayleigh beams with time- dependent boundary conditions: J. Engr. Res., 14(4). Oni ST & Awodola T 2003. Vibrations under a moving load of a non-Rayleigh beam on variable elastic foundation. J. Nig. Assoc. Math. Phy.,7: 191-206. Oni ST & Omolofe B 2005. Dynamic analysis of prestressed elastic beam with general boundary conditions under moving loads traveling at varying velocities. Journal of Engineering and Engineering Tech, FUTA, 4(1): 55-74. Oni ST 1991. On the dynamic response of elastic structures to moving multi-mass systems Ph.D Thesis, University of Ilorin, Ilorin, Nigeria Savin E 2001. Dynamics amplification factor and response spectrum for the evaluation of vibrations of beams under successive moving loads. Journal of Sound and Vibrations 248(2): 267-288. Stanisic E & Montgomeny 1974. On a theory concerning the dynamical behaviour of structures carrying moving masses. Ing. Archiv, 43: 295-305.

Highlights