کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
510626 | 865778 | 2013 | 10 صفحه PDF | دانلود رایگان |
In this paper, a closed-form solution for evaluating the dynamical behavior of a general multi-span Bernoulli–Euler beam is derived. The natural frequencies of vibration and corresponding mode shapes are obtained by applying the boundary conditions to the characteristic function of a beam. A Laplace transformation is applied to the governing differential equation which is then solved for each normal mode in the frequency domain. The main contribution of this paper is to provide a closed-form solution for the vibration of continuous stepped beams under constant moving loads. Several numerical examples are included.
► A closed-form solution for evaluating the dynamical behavior of a beam is derived.
► The model can consider: stepped sections, several spans and elastic supports.
► Explicit equations to calculate the displacements and accelerations are provided.
► The equations are exact, as the problem has been solved using a Laplace transform.
► The model has been verified with several numerical examples.
Journal: Computers & Structures - Volume 119, 1 April 2013, Pages 85–94