Maximum dynamic stress on bridges traversed by moving loads

Cantero, Daniel; González, Arturo; O’Brien, Eugene J.

doi:10.1680/bren.2009.162.2.75

Cited by 18 publications

(25 citation statements)

References 11 publications

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“…In this paper, the problem de nition is supplied and afterwards an algorithm to solve the governing equation of actual European truck moving on di erent bridges considering viscoelastic supports is presented. The present work extends the scope of previous studies by considering actual truck moving instead of moving mass problem, [8,9], and by considering viscoelastic supports for the beam loading, [10,17,18]. The critical velocities considering viscoelastic supports to get maximum dynamic stresses of the beam are numerically calculated.…”

Section: Introductionmentioning

confidence: 69%

“…If there are some springs and dampers between the moving object and the beam surface, the problem becomes more complicated. The equations of motion for this kind of system, which is called a moving oscillator, can be expressed in the following form [10]:…”

Section: Problem De Nitionmentioning

confidence: 99%

“…(6); where y(x; t) is the vertical displacement of the beam due to the force F (x; t) at section x and time t. ! b is the damped circular frequency and for small damping ratios, , is given [10] by:…”

Section: Bridge Modelmentioning

confidence: 99%

“…This equation can be solved by the Wilson-method to calculate u. The Wilson-method is essentially an extension of the linear acceleration method in which a linear variation of acceleration from time t to time t + t is assumed [10].The equation must be satis ed at time t n+ = t n + t with 1:…”

Section: Modeling Of Viscoelastic End Conditionmentioning

confidence: 99%

“…In other research, Mo d et al [9] presented two methods to determine the dynamic behavior of viscoelastic beams subjected to moving mass. Cantero et al [10] calculated the maximum dynamic stress on simply supported bridges traversed by moving vehicles.…”

Section: Introductionmentioning

confidence: 99%

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Effects of viscoelastic supports on the behavior of bridges under moving vehicles

Samanipour

Vafai

2017

Scientia Iranica

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Abstract. One of the most important problems facing structural engineers is the analysis of dynamic behavior of bridges subjected to moving vehicles. In addition, viscoelastic supports under bridges change their dynamic behavior under passing tra c loads. This paper presents how to model a bridge with viscoelastic supports and how the maximum dynamic stress of bridges changes during the passing of moving vehicles. Furthermore, this paper presents an algorithm to solve the governing equation of the bridge with viscoelastic supports as well as the equation of motion of a real European truck with di erent speeds, simultaneously. Using viscoelastic supports with appropriate characteristics can make a signi cant di erence in the magnitude on the maximum dynamic stress of bridges. By nite di erence method, it will be shown that how much the sti ness and damping of viscoelastic supports should be to have less impact and dynamic stresses in the bridges. It will be demonstrated that using viscoelastic supports can decrease the local maximum DAFs in the case of short and medium spans up to 5%. This study becomes more important where vehicle speeds are considerably high; therefore, the consequences of a full-length analysis with viscoelastic supports must be used to design safe bridges.

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