Dynamic Response Analysis of a Simply Supported Double-Beam System under Successive Moving Loads

Abstract

The dynamic response of a simply supported double-beam system under moving loads was studied. First, in order to reduce the difficulty of solving the equation, a finite sin-Fourier transform was used to transform the infinite-degree-of-freedom double-beam system into a superimposed two-degrees-of-freedom system. Second, Duhamel’s integral was used to obtain the analytical expression of Fourier amplitude spectrum function considering the initial conditions. Finally, based on finite sin-Fourier inverse transform, the analytical expression of dynamic response of a simply supported double-beam system under moving loads was deduced. The dynamic response under successive moving loads was calculated by the analytical method and the general FEM software ANSYS. The analysis results show that the analytical method calculation results are consistent with ANSYS’ calculation, thus validating the analytical calculation method. The simply supported double-beam system had multiple critical speeds, and the flexural rigidity significantly affected both peak vertical displacement and critical speed.

Connection Damage Detection of Double Beam System under Moving Load with Genetic Algorithm

“…(10) and 12into Eqs. (9) and (11), respectively, and moving the unknown terms with (q1n, q2n) to the left side of the differential equation, the equations of motion of the double beam system under moving load can be expressed as:…”

“…Koziol adopted wavelet approximation method combined with Adomian's decomposition to study the dynamic response of a double-beam resting on a nonlinear viscoelastic foundation and subjected to a series of moving loads [10]. Jiang et al presented an analytical expression of dynamic response of a double beam system under successive moving loads and the results are verified through general FEM software ANSYS [11]. A comprehensive investigation on the literatures indicates that most of the existing studies are focused on the dynamic behaviors of double beam system under free vibration and moving loads, and there is no paper investigated the damage detection of the connection between the upper and lower beams for the double beam system.…”

Fast Falling Weight Deflectometer Method for Condition Assessment of RC Bridges

“…In References [13,14], a fast method to relieve the geometry and furnish a safety evaluation of the infrastructure is proposed. Ongoing research is focused on the identification of the mechanical property of concrete throughout ultrasonic method and combined method [15][16][17][18][19]. Although the traditional non-destructive methods had a significant enhancement [20] in the last period, a benchmark Finite Element (FE) model for the evaluation of the structural vulnerability is often necessary also improved with several tuning methods [21].…”

Application of KLE-PEM for Random Dynamic Analysis of Nonlinear Train-Track-Bridge System

“…Because of inevitable errors in processing, pavement technology, environment, and other potential problems of track structure, random track irregularity occurs in a train-track-bridge system (TTBS) under excitation, affecting the stability and safety of train operation [3,4]. When a train passes over a bridge, the bridge is affected by train vibration; simultaneously, the bridge vibration affects the train vibration [5][6][7]. e interaction between train and bridge vibrations leads to a coupling vibration effect; in this process, the effects on system vibration due to track irregularity cannot be ignored.…”