On The Response Of Non-Prismatic Rotating Timoshenko Beam Under The Actions Of Concentrated Loads Travelling At Time Dependent Speeds

References

[1] S.Timoshenko, “On the correction for shear of the differential equation for transverse vibration of prismatic bars.” Phil. Mag. S, 6(41).pp. 744- 776.l921.

[2] C. R. Steel. “Beams and Shells with moving loads. Int. Journal of Solids and Structures.” Vol. 7, pp 1171-1198. 1971.

[3] H.S. Zibdeh, M.A. Hilal, “Vibration analyses of beams with general boundary conditions traversed by a moving force.” Journal of Sound and Vibration 229(2), pp 377-388. 2000.

[4] M. H. Kargarnovin, D, Younesian, “Dynamics of Timoshenko beams on Pasternak foundation under moving load.” Mechanics Research Communications (31) pp 713-723. 2004.

[5] R.S. Ayre, L.S. Jacobsen, and C.S. Hsu, editors, “Transverse vibrationof one-and of two-span beams under the action of a moving mass load,” Proceedings of the first U. S. National Congress of Applied Mechanics, pp.81-90, 1951.

[6] M.H Taha, S.Abohadima. “Mathematical model for vibrations of non-uniform beams.” Engineering MECHANICS, Vol. 15, (1), pp. 3– 11. 2008

[7] Adedowole A. “Flexural motions under moving distributed masses of Beam- type structures on Vlasor foundation and having time dependent boundary conditions.” Ph.D thesis. Federal University of Technology, Akure, Nigeria. 2016

[8] A.Adedowole, K.S Famuwagun. “ Simply supported non prismatic beam resting on variable elastic foundation carrying travelling harmonic loads.” Journal of Emerging Trends in Engineering and Applied Sciences (JETEAS) 8(2): pp 98-103. 2017.

[9] A.S. Adeoye, T O Awodola. “Dynamic Response to Moving Distributed Masses of Pre-stressed Uniform Rayleigh Beam Resting on Variable Elastic Pasternak Foundation.” Edelweiss Applied Science and Technology, 2, pp 1-9, 2018

[10] R.T. Wang. “Vibration of multi-span Timoshenko beams to a moving force.” Journal of sound and vibration, 5(207), pp 731-742, 1997.

[11] S.T. Oni. “On the transverse vibrations under moving loads of deep beams on variable elastic foundations.” Journal of Applied Sciences, 7(2), pp 4241-4256, 2004.

[12] B. Omolofe,S.N. Ogunyebi “Dynamic characteristics of a rotating Timoshenko beam subjected to a variable magnitude load travelling at varying speed.” J. KSIAM. 20(1), pp. 17–35. 2016

@article{1701638,
      author = {A. Adedowole},
      title = {On The Response Of Non-Prismatic Rotating Timoshenko Beam Under The Actions Of Concentrated Loads Travelling At Time Dependent Speeds},
      journal = {Iconic Research And Engineering Journals},
      year = {2019},
      volume = {3},
      number = {3},
      pages = {102-114},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1701638.pdf},
      abstract = {This paper is focused on the study of motions of non- prismatic rotating Timoshenko beams traversed by constant and harmonic variable magnitude moving loads. The versatile Galerkin's method and the integral transform techniques were employed to treat the coupled second order partial differential equations governing the motion of the vibrating system.  Numerical analyses in plotted curves are presented. The analyses depict interesting results on the effect of some structural parameters such as foundation moduli, prestressed forces and circular frequency on the dynamic behavior of non- prismatic rotating Timoshenko beams under the actions of moving loads at time dependent speed. The resonance condition of the dynamical systems is also established.},
      keywords = {non- prismatic, resonance, foundation stiffness, prestressed, transverse response, Galerkin's method},
      month = {September},
  }