VIBRATIONS OF NON-UNIFORM CONTINUOUS BEAMS UNDER MOVING LOADS

2002 ◽  
Vol 254 (5) ◽  
pp. 911-926 ◽  
Author(s):  
Y.A. DUGUSH ◽  
M. EISENBERGER
1982 ◽  
Vol 108 (4) ◽  
pp. 673-673
Author(s):  
Toshiro Hayashikawa ◽  
Noboru Watanabe

1981 ◽  
Vol 107 (1) ◽  
pp. 229-246
Author(s):  
Toshiro Hayashikawa ◽  
Noboru Watanabe

2005 ◽  
Vol 8 (2) ◽  
pp. 157-172 ◽  
Author(s):  
Lei Zhang ◽  
Gengshu Tong

The elastic stability of two span continuous beams has been studied using FEA methods. Two formulae for estimating the critical loads are proposed, one is suitable for two-span beams with one span loaded, while the other is suitable for two-span beams with both spans equally loaded. Two identical concentrated loads symmetrically located about the mid-span of each loaded span were considered in the derivation of both formulae, and the effect of the height of loaded points for doubly symmetric beams was included. The formulae presented are also accurate enough in calculating the critical loads for two-span continuous beams with the mono-symmetric sections used in practice if the point of load application is at or above the shear centre. A linear approximation is suggested for the interaction of two spans when the two spans of the beam are not equally loaded. For a two-span continuous runway girder supporting moving cranes, the minimum critical load and the maximum absolute moment were investigated, some possible combination of wheel forces on beams considered, and approaches to calculating the critical load for each load combination are suggested when the girder has either one or two cranes moving along it.


2010 ◽  
Vol 329 (15) ◽  
pp. 3101-3120 ◽  
Author(s):  
Vera De Salvo ◽  
Giuseppe Muscolino ◽  
Alessandro Palmeri

1981 ◽  
Vol 107 (5) ◽  
pp. 996-996
Author(s):  
Toshiro Noboru ◽  
Hayashikawa Watanabe

2006 ◽  
Vol 11 (3) ◽  
pp. 293-318 ◽  
Author(s):  
M. Zribi ◽  
N. B. Almutairi ◽  
M. Abdel-Rohman

The flexibility and low damping of the long span suspended cables in suspension bridges makes them prone to vibrations due to wind and moving loads which affect the dynamic responses of the suspended cables and the bridge deck. This paper investigates the control of vibrations of a suspension bridge due to a vertical load moving on the bridge deck with a constant speed. A vertical cable between the bridge deck and the suspended cables is used to install a hydraulic actuator able to generate an active control force on the bridge deck. Two control schemes are proposed to generate the control force needed to reduce the vertical vibrations in the suspended cables and in the bridge deck. The proposed controllers, whose design is based on Lyapunov theory, guarantee the asymptotic stability of the system. The MATLAB software is used to simulate the performance of the controlled system. The simulation results indicate that the proposed controllers work well. In addition, the performance of the system with the proposed controllers is compared to the performance of the system controlled with a velocity feedback controller.


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