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

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.

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.

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
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