Transverse vibration of Euler-Bernoulli beams on elastic foundation under mobile distributed masses
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Date
2003
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Journal of Nigerian Association of Mathematical Physics, Nigerian Association of Mathematical Physics.
Abstract
Uniform distributed moving masses vibration analysis is presented for Euler Bernoulli beams on elastic foundation. The partial differential equation governing the beam’s motion is reduced to ordinary differential equation and then expressed as a system of linear equations by finite difference scheme. The analysis is valid for Euler Bernoulli beams with various boundary conditions. However, simply supported boundary conditions are used as an illustrated example. The numerical results are presented in graphical forms and the limiting cases compared well with known existing results. The numerical analysis shows that the foundations stiffness and loads’ distribution have significant effects on the dynamic deflection of the beam.
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Keywords
Uniform distributed moving masses vibration