American Journal of Innovative Research & Applied Sciences
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American Journal of innovative Research & Applied Sciences
ISSN 2429-5396 (Online) OCLC Number: 920041286
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| APRIL | VOLUME 4 | N° 4 | 2017 |
ABSTRACT Background: Structural members (Beam and plate) play significant roles in the construction of highway bridges and railroads, hence he need to assess the dynamic behavior of these element has attracted various researchers in the field of Mathematical Physics and Engineering especially when they are subjected to moving concentrated and moving distributed masses. Objectives: The specific objective of this present work is to obtain analytical solutions to the non-homogeneous fourth order partial differential equation governing simply supported Rayleigh Beam with an accelerating distributed mass on elastic foundation. Methods: The technique adopted for the uniform forced vibration of Rayleigh beam with accelerating mass resting on variable elastic foundation at constant velocity is Fourier sine transforms and Laplace transformation for the analytical solutions. Results: The dynamic effects of vital parameters such as elastic foundation, rotatory inertia correction factor, axial force, distance and load parameters were obtained. Conclusions: Solutions to the uniform forced transverse vibration of Rayleigh beam with an accelerating distributed mass is given and the information about the vital parameters are presented. Keywords: Axial force, Accelerating mass, Elastic foundation, Response, Rayleigh beam.
