Analysis of Vertical Dynamic Response of Simply Supported Beam Traversed by Successive Moving Loads

2014 ◽  
Vol 556-562 ◽  
pp. 751-754 ◽  
Author(s):  
Xiao Ping Wang ◽  
Ming Shui Li
Keyword(s):  
Dynamic Response ◽  
Damping Ratio ◽  
Amplification Coefficient ◽  
Vehicle Speed ◽  
Moving Loads ◽  
Maximum Displacement ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Calculation Results ◽  
Dynamic Amplification

In this paper, The vertical vibration’s analytical expression of Euler-Bernoulli beam traveled by moving loads is used to analyze the effect factors such as vehicle speed and damping ratio. The calculating program is made with MATLAB to analyze the dynamic response of a bridge as an illustrative example. A 32 meters simply supported beam traversed by moving loads of 8 ICE3 motor cars is analyzed. The calculation results show that the maximum displacement of the bridge appears at or near the mid-span and it has nothing to do with the position of the loads. The dynamic amplification coefficient of displacement at mid-span is not linearly increased with the vehicle speed improving. The damping ratio can decrease the dynamic response of the bridge dramatically, especially at the resonance speed.

Analytical Solution to Vertical Dynamic Response of Simply Supported Beam Bridge Traversed by Successive Moving Loads

2012 ◽  
Vol 178-181 ◽  
pp. 2345-2352 ◽  
Author(s):  
Zhi Jun Zhang ◽  
Jin Feng Wu ◽  
Li Zhong Song ◽  
Song Hua Ma ◽  
Xiao Zhen Li
Keyword(s):  
Analytical Solution ◽  
Dynamic Response ◽  
High Speed ◽  
Damping Ratio ◽  
Moving Loads ◽  
Simply Supported Beam ◽  
Railway Bridges ◽  
Simply Supported ◽  
High Speed Trains ◽  
Analytical Expressions

In this paper, vibration theory is used to deduce vertical vibration’s analytical expressions of Euler- Bernoulli beam traveled by moving loads. In the analytical expression, the influences of the train’s travelling speed ,the mode of vibration ,the mass and rigidity of beam itself and the damping ratio of the system are considered comprehensively. Then the calculating program is made with MATLAB to analyze the dynamic response of a bridge as an illustrative example, so as to check the correctness of the analytical solution. Then a 32 meters simply supported beam traversed by moving loads of 8 ICE3 motor cars is analyzed. The calculation results show that the analysis method in this paper can really give accurate results to the beam subjected to arbitrarily spacing loads . The analytical expressions can be applied to preliminary design of railway bridges and assessment of the expected maximum vibration levels under high-speed trains.

Analysis on Vertical Dynamic Response of Simply-Supported Bridge Subjected to a Series of Moving Harmonic Loads

2013 ◽  
Vol 361-363 ◽  
pp. 1329-1334
Author(s):  
Jing Feng Zhang ◽  
Xiao Zhen Li ◽  
Li Zhong Song ◽  
Chun Sheng Shan
Keyword(s):  
Analytical Solution ◽  
Dynamic Response ◽  
Resonance Phenomenon ◽  
Superposition Method ◽  
Analysis Model ◽  
Harmonic Frequency ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Mode Superposition Method ◽  
Calculation Results

In this thesis, a dynamic analysis model is established that subjected to a series of moving harmonic loads, and the analytical solution of the dynamic response is deduced based on the mode superposition method. Based on this analytical solution, a program is made to calculate the vertical dynamic response of simply-supported beam. The calculation results show that the analytical solution is reasonable and correct. When the harmonic frequency is near to the fundamental frequency of the simply-supported beam, the resonance phenomenon will occur. The dynamic response of the beam will decrease as the speed increases, and the presence of damp can suppress the vibration of the bridge.

Finite Element Analysis on Dynamic Response of Bridge Structures under Moving Loads with Uniform Speed

2011 ◽  
Vol 90-93 ◽  
pp. 1015-1018
Author(s):  
Wen Zhang ◽  
De Can Yang
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Dynamic Response ◽  
Moving Load ◽  
Moving Loads ◽  
Element Analysis ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
The Finite Element Analysis ◽  
Bridge Structures

The dynamic response of simple supported beam under the moving load is analyzed. The finite element analysis software MIDAS is used to simulate the process of when the uniform constant force moving through the simply supported beam. The first 5 natural frequencies of simply supported beam are obtained with the modal analysis and compared with the analytical solution. The feasibility of the finite element method is verified.

Comparative Study on the Vertical Dynamic Responses of Simply Supported Beam Subjected to Two Typical Vehicle Models

2012 ◽  
Vol 178-181 ◽  
pp. 2424-2428
Author(s):  
Chun Sheng Shan ◽  
Wei Ye ◽  
Heng Li ◽  
Xiao Zhen Li
Keyword(s):  
High Speed ◽  
Damping Ratio ◽  
Dynamic Responses ◽  
Vehicle Speed ◽  
Vehicle Model ◽  
Euler Beam ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Systems Model ◽  
Mass Spring

A novel simplified vehicle model i.e. arbitrary moving mass-spring systems model, which can be simplified into moving loads model, is put forward and proved to be capable of analyzing the vertical dynamic responses of bernoulli-euler beam. Based on the matlab platform, a simply supported beam with a span of 40 m serviced in Beijing-Shanghai High-speed Railway is selected as the case study. The similarities and differences of vertical dynamic responses of the bridge based on this two vehicle models are compared. On this basis, the effects of vehicle speed and bridge damping ratio on the bridge’s dynamic magnification factor is studied. The computation results show that this new vehicle model is effective and reliable in its practical application.

scholarly journals Damped dynamic response of strengthened beams by composite coats under moving force by FEM

2018 ◽  
Vol 106 (2) ◽  
pp. 206
Author(s):  
Abdennacer Chemami ◽  
Youcef Khadri ◽  
Sabiha Tekili ◽  
El Mostafa Daya ◽  
Ali Daouadji ◽  
...  
Keyword(s):  
Dynamic Response ◽  
Numerical Study ◽  
Moving Load ◽  
Damping Ratio ◽  
Time Integration ◽  
Superposition Method ◽  
Dynamic Amplification Factor ◽  
Aluminum Composite ◽  
Strengthened Beam ◽  
Dynamic Amplification

This paper presents a numerical study of the free and damped forced vibration of simply-supported beams with composite coats subjected to a moving load by use of finite elements method. Three types of beam configurations, aluminum, composite and strengthened beam are investigated. The equation of motion of the beam is solved using the modal superposition method and integrated by applying the Newmark time integration procedure. Good agreements were achieved between the FEM and analytical solutions. The damped dynamic response, critical velocities and the dynamic amplification factor of the beam are calculated for different parameters such as the thickness ratio, the fiber orientation of the coat and damping ratio.

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.

Response of Elastic Bodies to a Uniformly Accelerating Point Force

1970 ◽  
Vol 92 (2) ◽  
pp. 400-403
Author(s):  
T. F. Raske ◽  
Ki Sub Joung
Keyword(s):  
Cylindrical Shell ◽  
Dynamic Response ◽  
Rectangular Plate ◽  
Linear Theory ◽  
Point Force ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Shallow Cylindrical Shell ◽  
Elastic Bodies ◽  
Constant Magnitude

An analysis based upon linear theory is presented for determining the dynamic response of a simply supported beam, rectangular plate and shallow cylindrical shell to a point force of variable magnitude uniformly accelerating across the surface of these elastic bodies. It is shown that resonant conditions are not associated with problems of this type. Typical deflection profiles are included for a constant magnitude point force accelerating across a beam.

Dynamic Analysis of Elastic Support Beam Subject to Moving Load

2012 ◽  
Vol 256-259 ◽  
pp. 918-921
Author(s):  
Yang Liu
Keyword(s):  
Moving Load ◽  
Elastic Support ◽  
Vibration Modes ◽  
Spring Stiffness ◽  
Moving Loads ◽  
Lagrange Equations ◽  
Elastic Supports ◽  
Calculation Results ◽  
Dynamic Amplification ◽  
Elastically Supported

The dynamics of elastic support beam are studied and the latent equation of the freely vibration modes of elastic bearing beam is deduced. The equation of the forced vibration of an elastically supported beam is obtained by the Lagrange equations and the influence of spring stiffness and moving load speed are analyzed. Calculation results show: the elastic supports have great effects on responses of beams, the dynamic amplification of deflections and stresses increases with the spring stiffness; the dynamic response of beam also increase with the increase of the speed of moving loads.

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