Dynamic behaviour of beams and rectangular plates under moving loads

1995 ◽  
Vol 182 (5) ◽  
pp. 677-695 ◽  
Author(s):  
J.A. Gbadeyan ◽  
S.T. Oni
2017 ◽  
Vol 23 (9) ◽  
pp. 1291-1302 ◽  
Author(s):  
S Sorrentino ◽  
G Catania

This study investigates the dynamic behaviour of plates crossed by distributed moving gravitational and inertial loads, in the case in which the relative magnitude of the moving mass introduces a coupling effect with the structure, with possible applications to the vibration analysis of railway bridges. A rectangular Kirchhoff plate is considered, simply supported on two opposite edges and free on the other two edges, loaded by a partially distributed mass travelling in the parallel direction with respect to the free edges. The formulation includes damping, and it is accomplished by the Rayleigh–Ritz method, expressing the solution in semi-analytical form. The shape functions for describing the transverse displacement field of the plate are selected as tensor products of linearly independent eigenfunctions of homogeneous uniform beams in flexural vibration, yielding a low-order model with time-dependent coefficients. Numerical examples are then presented and discussed, aimed at investigating the effects of each of the model governing parameters.


2014 ◽  
Vol 102 (20) ◽  
pp. 1528-1535 ◽  
Author(s):  
Fernando Madrazo-Aguirre ◽  
Ana M Ruiz-Teran ◽  
M Ahmer Wadee

Author(s):  
Salawu, Saheed Salawu ◽  
Sobamowo, Gbeminiyi Sobamowo

Dynamic behaviour of isotropic rectangular plate resting on two-parameter foundation is investigated. The governing partial differential equation is transformed to ordinary differential equation due to Galerkin method of separation. The hybrid method of Laplace transform and variation parameters method is used to analyze the ordinary differential equation. Introduction of exact method helps in fast convergence of the results. Obtained analytical solutions are compared with existing literature and confirmed as accurate. They are used to examine the effect of controlling parameters on the plate natural frequencies. Due to obtained results it is obvious that, the increase of both elastic foundation parameter and aspect ratio results in increasing the natural frequency. The solution is found immediately by means of a few iterations


2015 ◽  
Vol 103 ◽  
pp. 260-274 ◽  
Author(s):  
Fernando Madrazo-Aguirre ◽  
Ana M. Ruiz-Teran ◽  
M. Ahmer Wadee

Author(s):  
Milan Moravčík ◽  
Martin Moravčík

Abstract This paper discusses some issues related to dynamic effects in railway bridges focussed on the dynamic behaviour of the small and medium span simply supported railway bridges subjected to a series of moving vehicle. Presented parametric study is focused on the dynamic deflection of the simply supported railway bridge of the span Lb = 38 m, due to the series moving loads representing a conventional train with the IC-coaches, with the impact to the speed up to 160 km/h applied in Slovakia.


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