DYNAMIC ANALYSIS OF BEAMS ON ELASTIC FOUNDATION USING FOURIER SINE TRANSFORM METHOD

The dynamic response of a simply supported beam resting on elastic foundation subjected to a moving uniformly distributed load is investigated in this study. The Winkler foundation model was considered and the analytical solution of the fourth order partial differential equation was obtained using the Fourier Sine Transformation Method. Numerical results were further obtained and presented in plotted curves and tabular forms. The results showed that increase in the dynamic load length, moving at constant speed leads to higher deflections and bending moments of the beam, and decreases with increasing foundation modulus . The results thus underscore the relevance of the method in the dynamic analysis of beams on elastic foundation.