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

2019 ◽  
Vol 9 (10) ◽  
pp. 2162 ◽  
Author(s):  
Lizhong Jiang ◽  
Yuntai Zhang ◽  
Yulin Feng ◽  
Wangbao Zhou ◽  
Zhihua Tan
Keyword(s):  
Dynamic Response ◽  
Analytical Method ◽  
Amplitude Spectrum ◽  
Analytical Calculation ◽  
Response Analysis ◽  
Moving Loads ◽  
Analytical Expression ◽  
Simply Supported ◽  
Beam System ◽  
Double Beam

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.

scholarly journals An Analytical Study on Dynamic Response of Multiple Simply Supported Beam System Subjected to Moving Loads

2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Zhipeng Lai ◽  
Lizhong Jiang ◽  
Wangbao Zhou
Keyword(s):  
Partial Differential Equations ◽  
Analytical Solution ◽  
Dynamic Response ◽  
High Speed ◽  
Moving Load ◽  
Moving Loads ◽  
Spatial Displacement ◽  
High Speed Railway ◽  
Simply Supported ◽  
Beam System

Based on Euler–Bernoulli beam theory, first, partial differential equations were established for the vibration of multiple simply supported beams subjected to moving loads. Then, integral transforms were conducted on the spatial displacement coordinate and time in the partial differential equations, and the frequency-domain response of multiple simply supported beams subjected to moving loads was obtained. Next, by conducting the corresponding inverse transforms on the displacement frequency-domain responses of multiple simply supported beams, the spatial displacement time-domain responses were obtained. Finally, to validate the analytical method reported in this paper, the dynamic response of a typical double simply supported rail-bridge beam system of high-speed railway in China subjected to a moving load was carried out. The results show that the analytical solution proposed in this paper is consistent with the results obtained from a finite element analysis, validating and rationalizing the analytical solution. Moreover, the system parameters were analyzed for the dynamic response of double simply supported rail-bridge beam system in high-speed railway subjected to a moving load with different speeds; the conclusions can be beneficial for engineering practice.

scholarly journals Dynamic Response Analysis of Medium-Speed Maglev Train with Track Random Irregularities

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Peichang Yu ◽  
Mengxiao Song ◽  
Qiang Chen ◽  
Lianchun Wang ◽  
Guang He ◽  
...  
Keyword(s):  
Dynamic Response ◽  
Feedback Loop ◽  
Vibration Isolation ◽  
Analytical Calculation ◽  
Suspension System ◽  
Response Analysis ◽  
Maglev Train ◽  
Isolation System ◽  
Medium Speed ◽  
Speed Range

In order to analyze the dynamic response of medium-speed maglev train in the speed range of 0–200 km/h, the suspension performance, suspended energy consumption, and riding comfort of the train stimulated by random track irregularities are discussed in this paper. Firstly, the model of medium-speed maglev train including car body, air spring vibration isolation system, and the suspension system is established. Then, a controller based on flux inner feedback loop and PID outer feedback loop is designed for the suspension system. The established model is stimulated by the actual track power spectrum in full speed range. The simulation results show that the fluctuation of suspension gap is less than ±4 mm. Furthermore, thanks to the adding of permanent magnet, the power consumption is significantly reduced, which is of benefit to the electromagnet heating problem and on-board levitation power supply system. The riding comfort of the train moving on the irregular track using Sperling index is assessed. The experimental results validate the effectiveness of the proposed analytical calculation model of medium-speed maglev train. It is shown that medium-speed maglev train achieved good performance, significant power reduction, and satisfactory riding comfort.

scholarly journals Dynamic Analyses of a Simply Supported Double-Beam System Subject to a Moving Mass with Fourier Transform Technique

2019 ◽  
Vol 121 (1) ◽  
pp. 291-314
Author(s):  
Lizhong Jiang ◽  
Xilin Chai ◽  
Zhihua Tan ◽  
Wangbao Zhou ◽  
Yulin Feng ◽  
...  
Keyword(s):  
Fourier Transform ◽  
Moving Mass ◽  
Simply Supported ◽  
Beam System ◽  
Double Beam ◽  
Dynamic Analyses

RESONANT CURVES OF AN ELEVATED RAILWAY TO HARMONIC MOVING LOADS

2004 ◽  
Vol 04 (02) ◽  
pp. 237-257 ◽  
Author(s):  
YUNG-HSIANG CHEN ◽  
Z-MING SHIU
Keyword(s):  
Dynamic Characteristics ◽  
Viscoelastic Layer ◽  
Preliminary Design ◽  
Viscoelastic Foundation ◽  
Moving Loads ◽  
Parallel Beam ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Beam System ◽  
Two Sides

The fundamental dynamic characteristics of an elevated railway subjected to harmonic moving loads are investigated. The elevated ballast railway is analytically modeled as three different cases, with Case A indicating a simply-supported beam, Case B a two-parallel-beam system that is simply supported and inserted with a viscoelastic layer, and Case C an expansion of Case B through addition of two semi-infinite beams with viscoelastic foundation on two sides. The resonant conditions of these three cases are especially emphasized and studied in details. Finally, the resonant curves of an elevated railway to harmonic moving loads are presented, which are useful to railway engineers and may be used as preliminary design aids.

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