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.

Large Deflections of a Simply Supported Beam Subjected to Moment at One End

1984 ◽  
Vol 51 (3) ◽  
pp. 519-525 ◽  
Author(s):  
P. Seide
Keyword(s):  
Linear Theory ◽  
Bending Moment ◽  
Critical Value ◽  
The Other ◽  
Large Deflections ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Elastica Theory ◽  
Angle Of Rotation

The large deflections of a simply supported beam, one end of which is free to move horizontally while the other is subjected to a moment, are investigated by means of inextensional elastica theory. The linear theory is found to be valid for relatively large angles of rotation of the loaded end. The beam becomes transitionally unstable, however, at a critical value of the bending moment parameter MIL/EI equal to 5.284. If the angle of rotation is controlled, the beam is found to become unstable when the rotation is 222.65 deg.

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.

Dynamic Response of a Rectangular Plate With Initial Imperfections Under Large In-Plane Forces

1982 ◽  
Vol 104 (2) ◽  
pp. 432-438
Author(s):  
H. Pasic ◽  
D. Juricic ◽  
G. Herrmann
Keyword(s):  
Dynamic Response ◽  
Rectangular Plate ◽  
Free Vibrations ◽  
Load Level ◽  
Critical Force ◽  
Simply Supported ◽  
Initial Imperfections ◽  
Initial Irregularity ◽  
Short Time ◽  
Plate Geometry

This paper presents an analysis of the response of an imperfect, finite, simply-supported, rectangular plate under an in-plane above-critical force applied during a short time at one of the edges in the direction perpendicular to the edge. The influence of the initial irregularities on the overall response during and after load application is analyzed. The results indicate that the frequency spectrum of free vibrations, after removal of the load, is controlled by the initial irregularity distribution, the plate geometry, and the load level.

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.

Numerical Study of Damage Model for Reinforced Concrete Beam under Complex Boundary Condition Subjected to Air Blast Load

2014 ◽  
Vol 578-579 ◽  
pp. 757-761
Author(s):  
Dan Li ◽  
Jiang Tao Li ◽  
Jun Lin Tao
Keyword(s):  
Reinforced Concrete ◽  
Dynamic Response ◽  
Concrete Beam ◽  
Blast Loading ◽  
Reinforced Concrete Beam ◽  
Rc Beam ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Damage Morphology ◽  
Complex Boundary

Explicit FEM model ANSYS-DYNA is applied to simulate dynamic response and damage morphology of RC beam under blast loading. The dynamic response and damage morphology of reinforced concrete beam is analyzed under the different burst points, different explosive locations with the same proportion distance. The results show that: Under the same blast loading, the extent of damage of RC beam under complex boundary was lighter than the simply supported beam because of the stiffness contribution of slab and column. Acceleration at the half span point of the beam was 1/3 of simply supported beam, and the explosion shock attenuation was obvious.

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.

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