Flexural Motions of Beams on Foundation Subjected to Moving Concentrated Force
Ogunyebi S.N.1, Adedowole A.2, Ogunlade T.O.3, Oyedele A. A4
1Ogunyebi S. N*, Senior Lecturer, Department of Mathematics, Ekiti State University, Ado-Ekiti, Nigeria.
2Adedowole A, Senior Lecturer, Department of Mathematical Sciences, Adekunle, Ajasin University, Akungba-Akoko, Nigeria.
3Ogunlade, T. O, Senior Lecturer, Department of Mathematics, Ekiti State University, Ado-Ekiti, Nigeria.
4Oyedele A. A, Senior Lecturer, Department of Physics, Ekiti State University, Ado-Ekiti, Nigeria.
Manuscript received on January 24, 2020. | Revised Manuscript received on February 05, 2020. | Manuscript published on February 29, 2020. | PP: 3773-3779 | Volume-9 Issue-3, February 2020. | Retrieval Number: C5691029320/2020©BEIESP | DOI: 10.35940/ijeat.C5691.029320
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this present paper, the dynamic analysis of non-prismastic beams subjected to moving concentrated forces is investigated at constant speed. Two cases of load- beam interaction problems described by the Dirac delta function with constant and harmonic magnitude mobile forces are studied. The technique called Galerkin’s method in conjunction with integral transform method was employed to solve the motion equation. From the numerical results, it is evidently seen that an increase in the foundation stiffness provides reduction on the beam deflection. And furthermore, the issue of resonance is closely monitored and observed to have reached earlier in constant magnitude than harmonic variable magnitude problem. Results presented in this work are useful in constructions engineering designs.
Keywords: Vibrating, Non-Prismastic Beam, Concentrated forces, Harmonic load, foundation, Galerkin method.