Dynamic response of a simply supported viscously damped double-beam system under the moving oscillator

2016 ◽  
Vol 384 ◽  
pp. 194-209 ◽  
Author(s):  
Yongxin Wu ◽  
Yufeng Gao
Keyword(s):  
Dynamic Response ◽  
Simply Supported ◽  
Beam System ◽  
Double Beam ◽  
Moving Oscillator

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 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

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

Mechanika ◽  
2021 ◽  
Vol 27 (1) ◽  
pp. 80-87
Author(s):  
Hougui ZHANG ◽  
Ruixiang SONG ◽  
Jie YANG ◽  
Dan WU ◽  
Yingjie WANG
Keyword(s):  
Genetic Algorithm ◽  
Dynamic Response ◽  
Damage Detection ◽  
Moving Load ◽  
Acceleration Response ◽  
Damage Pattern ◽  
Load Model ◽  
Beam System ◽  
Detection Approach ◽  
Double Beam

In this paper, a novel damage detection approach for the spring connection of the double beam system using the dynamic response of the beam and genetic algorithm is presented. The double beam system is regarded as both Bernoulli-Euler beams with simply supported ends, the upper and lower beams are connected by a series of linear springs with certain intervals. With the genetic algorithm, the dynamic acceleration response of double beam system under moving load, which can be solved by the Newmark-β integration procedure, is used as the input data to detect the connection damage. Thus the dynamic response of the double beam system with a certain damage pattern can be calculated employing the moving load model. If the calculated result is quite close to the recorded response of the damaged bridge, this damage pattern will be the solution. The connection damage detection process of the proposed approach is presented herein, and its feasibility is studied from the numerical investigation with simple and multiple damages detection. It is concluded that the sophisticated damage conditions need much longer time to detect successfully.

Layout of Plate Structures for Improved Dynamic Response Using a Homogenization Method

1993 ◽  
Author(s):  
Ciro A. Soto ◽  
Alejandro R. Diaz
Keyword(s):  
Dynamic Response ◽  
Natural Frequencies ◽  
Homogenization Method ◽  
Automotive Application ◽  
Optimum Shape ◽  
Design Practice ◽  
Plate Structures ◽  
Simply Supported ◽  
Varying Thickness ◽  
Square Plate

Abstract A model to compute average properties for Mindlin plates of rapidly varying thickness was introduced in [SOT93]. The model was designed to be of use in computations of the optimum shape and layout of plates using the technique introduced by Bendsøe and Kikuchi [BEN88]. In this paper we discuss the utilization of the model to determine the optimum layout of plate structures that maximizes a function of the structure’s natural frequencies. A simply supported square plate is used to illustrate the problem of optimization in the presence of repeated natural frequencies. An automotive application is presented to illustrate the usefulness in design practice.

IMPACT ON AN ELASTICALLY CONNECTED DOUBLE BEAM SYSTEM

1963 ◽  
Author(s):  
J. M. Seelig ◽  
II Hoppmann ◽  
W. H.
Keyword(s):  
Beam System ◽  
Double Beam
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