Moving Loads on Beams With General Boundary Conditions

Dynamic Amplification Factor and Response Spectrum for the Evaluation of Vibrations of Beams Under Successive Moving Loads

“…Note that such analytical developments can also be performed up to a thorough level for the case of a moving load on an elastic half-space, with applications to the evaluation of the characteristics of guided waves induced by trains in the trackbed, ground vibrations in the environment or possible instabilities [16,17]. Another major subject of interest has been the consideration of some randomness in the train speed, loads spacing and/or amplitudes [11,18,19], track roughness [20}22] or track sti!ness characteristics [23]. These latter cases are probably the most relevant ones when applied to modern railways although the most di$cult to handle from a theoretical point of view; on the contrary, randomness related to the loads amplitudes, speed or arrival times, is more likely to occur for highway bridges.…”

Dynamic Response of a Rotating Beam Subjected to a Random Moving Load

“…The results were veri®ed by simulation. They have also used analytical and numerical methods [5] to investigate the statistical response moments of beams with general boundary conditions subjected to a stream of random moving loading systems of Poissonian pulse type. Chang [6] presented a method to perform the deterministic and random vibration analysis of a Rayleigh Timoshenko beam on an elastic foundation, he used modal analysis to compute the dynamic responses of the structure, such as the displacement and bending moment and some statistical responses such as mean square values of the dynamic displacement and bending moment.…”

Non-Stationary Random Vibration of FE Structures Subjected to Moving Loads

“…Sniady et al [6] assumed the load to be a set of point forces of random amplitude and stochastic velocity for which the inter-arrival time was a Poisson process and hence they obtained the solution for the probabilistic characteristics of beams by applying Ito integral and differentiation rules. Zibdeh and his co-authors [7][8][9][10][11] were also active in this area as follows: Ref. [7] was concerned with higher order moments of a simply supported elastic beam subjected to a stream of random moving loads of Poissonian type, in both the transient and steady states; Ref.…”

“…[8] covers beams which were subjected to both random moving loads and deterministic axial forces; Ref. [9] investigated the statistical response moments of beams with general boundary conditions and; Refs. [10,11] analyzed random vibration of rotating beams and laminated composite coated beams, respectively.…”