Research against the Effect of Inertia Loads on Dynamic Responses of a Simply Supported Beam

2013 ◽  
Vol 790 ◽  
pp. 283-286
Author(s):  
Xian Min Zhang ◽  
Ya Dong Wang
Keyword(s):  
Moving Load ◽  
Quantitative Description ◽  
Dynamic Responses ◽  
Moving Mass ◽  
Simply Supported Beam ◽  
Inertia Effects ◽  
Simply Supported ◽  
Matlab Program ◽  
Loading Modes ◽  
Fixed Section

In order to quantitative study the loads inertia on the effect of dynamic response on a simply supported beam, a simply supported beam with a fixed section forms and different span has been calculated under two different loading modes including moving load and moving mass by numerical method by MATLAB program. The calculated results shows the exact solution of beam vibration differential equation can be calculated and a quantitative description can be made about the load inertia effects on dynamic responses of the simply supported beam. These results provide guidance to the project practice.

Dynamic responses and fuzzy control of a simply-supported beam subjected to a moving mass

2006 ◽  
Vol 20 (9) ◽  
pp. 1371-1381
Author(s):  
Yong-Sik Kong ◽  
Bong-Jo Ryu ◽  
Kwang-Bok Shin ◽  
Gyu-Seop Lee ◽  
Hong-Gi Lee
Keyword(s):  
Fuzzy Control ◽  
Dynamic Responses ◽  
Moving Mass ◽  
Simply Supported Beam ◽  
Simply Supported

On Equivalence of the Moving Mass and Moving Oscillator Problems

2001 ◽  
Author(s):  
Alexander V. Pesterev ◽  
Lawrence A. Bergman ◽  
Chin An Tan ◽  
T.-C. Tsao ◽  
Bingen Yang
Keyword(s):  
High Frequency ◽  
Initial Conditions ◽  
High Frequency Component ◽  
Strict Sense ◽  
Moving Mass ◽  
Spring Stiffness ◽  
Mass Model ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Moving Oscillator

Abstract Asymptotic behavior of the solution of the moving oscillator problem is examined for large values of the spring stiffness for the general case of nonzero beam initial conditions. In the limit of infinite spring stiffness, the moving oscillator problem for a simply supported beam is shown to be not equivalent in a strict sense to the moving mass problem; i.e., beam displacements obtained by solving the two problems are the same, but the higher-order derivatives of the two solutions are different. In the general case, the force acting on the beam from the oscillator is shown to contain a high-frequency component, which does not vanish, or even grows, when the spring coefficient tends to infinity. The magnitude of this force and its dependence on the oscillator parameters can be estimated by considering the asymptotics of the solution for the initial stage of the oscillator motion. For the case of a simply supported beam, the magnitude of the high-frequency force linearly depends on the oscillator eigenfrequency and velocity. The deficiency of the moving mass model is noted in that it fails to predict stresses in the bridge structure. Results of numerical experiments are presented.

Dynamic Stability and Response of Inclined Beams Under Moving Mass and Follower Force

2020 ◽  
pp. 2043004
Author(s):  
D. S. Yang ◽  
C. M. Wang ◽  
J. D. Yau
Keyword(s):  
Dynamic Stability ◽  
Moving Load ◽  
Dynamic Responses ◽  
Follower Force ◽  
Load Force ◽  
Moving Mass ◽  
Concentrated Mass ◽  
Spatial Part ◽  
Method Of Solution ◽  
Fourier Sine Series

This paper is concerned with the dynamic stability and response of an inclined Euler–Bernoulli beam under a moving mass and a moving follower force. The extended Hamilton’s principle is used to derive the governing equation of motion and the boundary conditions for this general moving load/force problem. Considering a simply supported beam, one can solve the problem analytically by approximating the spatial part of the deflection with a Fourier sine series. Based on the formulation and method of solution, sample dynamic responses are determined for a beam that is inclined at 30[Formula: see text] with respect to the horizontal. It is shown that the dynamic response of the beam under a moving mass is rather different from an equivalent moving follower force. Also investigated herein are the dynamic stability of inclined beams under moving load/follower force which are described by four key variables, viz. the speed of the moving mass/follower force, concentrated mass to the beam distributed mass, vibration frequency and the magnitude of the moving mass/follower force. The critical axial load and the critical follower force are different when they are located at different positions in the beam; except for the special case when they are at the end of the beam.

Singular Function Models of a Simply Continuous Beam Bridge under a Moving Load

2012 ◽  
Vol 204-208 ◽  
pp. 2240-2243
Author(s):  
Jun Zhang ◽  
Ming Kang Gou ◽  
Chuan Liang ◽  
Xiao Lu Ni ◽  
Zi Wen Zhou
Keyword(s):  
Present Model ◽  
Dynamic Models ◽  
Moving Load ◽  
Dynamic Responses ◽  
Singular Function ◽  
Moving Mass ◽  
Continuous Beam ◽  
Concentrated Force ◽  
Continuous Beam Bridge ◽  
Beam Bridge

The system of a simply continuous beam was looked on as one span beam with several internal elastic supports of inexhaustible stiffness. There were two types of models such as the dynamic models by a moving concentrated force and by a moving mass. A three-span beam was introduced as example solved with the present model by a moving concentrated force and FEM, which verified that the present model was correct. Two cases of the example bridge by a moving concentrated force and by a moving mass were considered. The results indicate that mass of the moving load has little influence over the dynamic responses of the simply continuous beam bridge.

Stability and local bifurcation in a simply-supported beam carrying a moving mass

2007 ◽  
Vol 20 (2) ◽  
pp. 123-129 ◽  
Author(s):  
Pan Liu ◽  
Qiao Ni ◽  
Lin Wang ◽  
Liang Yuan
Keyword(s):  
Local Bifurcation ◽  
Moving Mass ◽  
Simply Supported Beam ◽  
Simply Supported

scholarly journals Dynamic Response of a Beam Subjected to Moving Load and Moving Mass Supported by Pasternak Foundation

2012 ◽  
Vol 19 (2) ◽  
pp. 205-220 ◽  
Author(s):  
Rajib Ul Alam Uzzal ◽  
Rama B. Bhat ◽  
Waiz Ahmed
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Dynamic Response ◽  
Moving Load ◽  
Bending Moment ◽  
Dynamic Responses ◽  
Moving Mass ◽  
Pasternak Foundation ◽  
Partial Differential ◽  
Foundation Parameters

This paper presents the dynamic response of an Euler- Bernoulli beam supported on two-parameter Pasternak foundation subjected to moving load as well as moving mass. Modal analysis along with Fourier transform technique is employed to find the analytical solution of the governing partial differential equation. Shape functions are assumed to convert the partial differential equation into a series of ordinary differential equations. The dynamic responses of the beam in terms of normalized deflection and bending moment have been investigated for different velocity ratios under moving load and moving mass conditions. The effect of moving load velocity on dynamic deflection and bending moment responses of the beam have been investigated. The effect of foundation parameters such as, stiffness and shear modulus on dynamic deflection and bending moment responses have also been investigated for both moving load and moving mass at constant speeds. Numerical results obtained from the study are presented and discussed.

scholarly journals Beam Damage Detection Under a Moving Load Using Random Decrement Technique and Savitzky–Golay Filter

Sensors ◽  
2019 ◽  
Vol 20 (1) ◽  
pp. 243 ◽  
Author(s):  
Hadi Kordestani ◽  
Chunwei Zhang ◽  
Mahdi Shadabfar
Keyword(s):  
Damage Detection ◽  
Moving Load ◽  
Damage Index ◽  
Velocity Variation ◽  
Simply Supported Beam ◽  
Damage Scenarios ◽  
Simply Supported ◽  
Random Decrement Technique ◽  
Random Decrement ◽  
Output Only

In this paper, a two-stage time-domain output-only damage detection method is proposed with a new energy-based damage index. In the first stage, the random decrement technique (RDT) is employed to calculate the random decrement signatures (RDSs) from the acceleration responses of a simply supported beam subjected to a moving load. The RDSs are then filtered using the Savitzky–Golay filter (SGF) in the second stage. Next, the filtered RDSs are processed by the proposed energy-based damage index to locate and quantify the intensity of the possible damage. Finally, by fitting a Gaussian curve to the damage index resulted from the non-damage conditions, the whole process is systematically implemented as a baseline-free method. The proposed method is numerically verified using a simply supported beam under moving sprung mass with different velocities and damage scenarios. The results show that the proposed method can accurately estimate the damage location/quantification from the acceleration data without any prior knowledge of either input load or damage characteristics. Additionally, the proposed method is neither sensitive to noise nor velocity variation, which makes it ideal when obtaining a constant velocity is difficult.

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