Fundamental Theories and Analytical Methods for Vibrations of Simply-Supported Beams Under Moving Loads

2017 ◽  
pp. 85-147
Author(s):  
He Xia ◽  
Nan Zhang ◽  
Weiwei Guo
Keyword(s):  
Analytical Methods ◽  
Moving Loads ◽  
Simply Supported

Stability of a Simply-Supported Beam Subjected to Randomly Spaced Moving Loads

1978 ◽  
Vol 100 (3) ◽  
pp. 507-513 ◽  
Author(s):  
M. Kurihara ◽  
T. Shimogo
Keyword(s):  
Elastic Beam ◽  
Inertia Force ◽  
Moving Loads ◽  
Simply Supported ◽  
Stability Chart ◽  
Vibration Problems ◽  
Load Sequence ◽  
Analytical Result ◽  
The Stability ◽  
Input Load

In this paper, vibration problems of a simply-supported elastic beam subjected to randomly spaced moving loads with a uniform speed are treated under the assumption that the input load sequence is a Poisson process. In the case in which the inertial effect of moving loads is taken into account, the stability problem relating to the speed and the mass of loads is dealt with, considering the inertia force, the centrifugal force, and the Coriolis force of the moving loads. As an analytical result a stability chart of the mean-squared deflection was obtained for the moving speed and the moving masses.

Experimental Study on Moving Train Loads Identification from Bridge Responses

2010 ◽  
Vol 143-144 ◽  
pp. 32-37
Author(s):  
Yi Wang ◽  
Wei Lian Qu
Keyword(s):  
Genetic Algorithm ◽  
Experimental Studies ◽  
Steel Beam ◽  
Beam Model ◽  
Moving Loads ◽  
Simply Supported ◽  
Simulated Annealing Genetic Algorithm ◽  
Bridge Responses ◽  
Moving Train ◽  
Moving Speed

This paper describes a method for multi-axle moving train loads identification based on simulated annealing genetic algorithm by minimizing the errors between the measured displacements and the reconstructed displacements from the identified moving loads. Experimental studies were carried out to investigate the effect of the proposed method on moving loads identification. A simply supported steel beam model and a model train with three carriages were constructed in laboratory. A series of comparative researches for moving loads identification have been conducted. Effects of moving speed and measurement station numbers on the accuracy of the proposed method are investigated. The results show that the proposed method is accurate and feasible for multi-axle moving train loads identification.

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.

Vibration of an Elastic Beam Subjected to Discrete Moving Loads

1978 ◽  
Vol 100 (3) ◽  
pp. 514-519 ◽  
Author(s):  
M. Kurihara ◽  
T. Shimogo
Keyword(s):  
Spectral Density ◽  
Poisson Process ◽  
Time History ◽  
Elastic Beam ◽  
Moving Loads ◽  
Simply Supported ◽  
Power Spectral ◽  
Vibration Problems ◽  
Load Sequence ◽  
Input Load

In this paper, vibration problems of a simply-supported elastic beam subjected to randomly spaced moving loads with a uniform speed are treated under the assumption that the input load sequence is a Poisson process. In the case in which the inertial effect of moving loads is neglected, the time history, the power spectral density, and the various moments of the response are examined and the effects of the speed of moving loads upon the beam are made clear.

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