Free vibration of prismatic Rayleigh beam on Vlasov supple foundation underneath fast travelling multiple loads
List of Authors
  • A. Adedowole

Keyword
  • Vlasov foundation, prismatic, point loads, Rayleigh beam, Fourier sine transformation

Abstract
  • Transverse vibration of prismatic Rayleigh beam subjected to several point loads on Vlasov flexible foundation has been investigated in this study. The technique based on the Fourier sine transformation was used to obtain the closed form solution of the fourth order partial differential equation with singular and variable coefficients is obtained through. Thereafter, use is also made of Integral transformation and convolution theory. The results obtained are presented in plotted curves. The results illustrated that the response amplitudes of the prismatic Rayleigh beam on Vlasov foundation decrease as the foundation modulli k0 increases. Furthermore, the displacements of prismatic Rayleigh beam resting on Vlasov flexible foundation, for fixed values of foundation modulli k0, shear modulli k1 and point loads decrease as the axial force N increases. Moreover, the transverse deflections of the Rayleigh beam decrease as the distances between the point loads increase under the actions of moving loads. The state of resonance of the vibrating systems was also analyzed.

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