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Calculation method of small and medium-span continuous bridge hogging moment impact coefficient

A technology of impact coefficient and small and medium spans, applied in calculation, electrical digital data processing, special data processing applications, etc., can solve the problem of providing reliable data statistics support for negative bending moment impact coefficients of fulcrum sections of continuous girder bridges, etc.

Active Publication Date: 2016-03-16
CHANGAN UNIV +1
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  • Application Information

AI Technical Summary

Problems solved by technology

The vibration forms of the negative moment section and the positive moment section of the continuous girder bridge are different, and the dynamic impact mechanism of the vehicle load on them is different. Supported by statistical data, at the same time, it is known from formula (1) that the impact coefficient u is related to the influence line of internal force

Method used

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  • Calculation method of small and medium-span continuous bridge hogging moment impact coefficient
  • Calculation method of small and medium-span continuous bridge hogging moment impact coefficient
  • Calculation method of small and medium-span continuous bridge hogging moment impact coefficient

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Embodiment 1

[0083] Embodiment 1: Taking continuous beams with three spans and equal spans and equal sections as an example, see figure 1 , the inventive method comprises the following steps:

[0084] Step 1: Using the natural vibration equation of Euler beam bending

[0085] E I ∂ 4 y ∂ x 4 + m ∂ 4 y ∂ t 4 = P ( t ) Formula (6)

[0086] In the formula: y-the dynamic deflection y(x,t) of the beam from the static balance position meter, which is positive downward; x-the horizontal distance from the end of the beam; t-time effect; P(t)-transverse load ;

[0...

Embodiment 2

[0122] Embodiment two: take two-span continuous beams as the utilization mode superposition method of the present invention to find the impact coefficient:

[0123] Step 1: see Figure 15 , substituting the boundary conditions of the 2*30m two-span continuous girder bridge into formulas (7) to (9), the undetermined coefficient A can be obtained ns , B ns 、C ns 、D ns The value of and its natural frequency are shown in formula (10):

[0124] ω n = a n 2 E I m = 1 l 2 ( π 2 , 3.55 , 4.30 2 ... ... ) E ...

Embodiment 3

[0143] Embodiment three: take the four-span continuous beam as the utilization mode shape superposition method of the present invention to find the impact coefficient:

[0144] Step 1: 4*30m four-span continuous girder bridge (see Figure 24 ) into the formula (7) ~ formula (9), the undetermined coefficient A can be obtained ns , B ns 、C ns 、D ns The value of and its natural frequency are shown in formula (10):

[0145] ω n = a n 2 E I m = 1 l 2 ( π 2 , 3.55 , 4.30 2 ... ... ) E I ...

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Abstract

The invention discloses a calculation method of a small and medium-span continuous bridge hogging moment impact coefficient. A small and medium-span continuous bridge is taken as an object, the characteristics, including the structural style, the geometrical morphology, the supporting situation, the quality, the rigidity and the like, of the bridge as well as the influence factors of the impact coefficients, including the amount, the axle number, the axle weight, the axle interval, the driving speed and the like of a vehicle are comprehensively considered, a method of combining theoretical analysis with numerical simulation is adopted to solve a computational formula problem of the regression fitting of the continuous bridge hogging moment impact coefficient according to an interrelation between the impact coefficient and an internal force influence line, the vehicle-mounted dynamic behaviors and mechanisms of the continuous bridge are disclosed, a bridge design theory and a bridge calculation method can be enriched, references are provided for bridge dynamics assessment, and the calculation method is accelerated to be widely applied and developed.

Description

technical field [0001] The invention belongs to the technical field of traffic bridges, and in particular relates to a calculation method for the negative moment impact coefficient of a continuous girder bridge with a medium and small span. Background technique [0002] The detection of bridge impact coefficient has extremely far-reaching significance for bridge design, maintenance and reinforcement. If the impact coefficient of bridge structure cannot be accurately detected, it will lead to unreasonable design of new bridges or untimely maintenance and reinforcement of old bridges, which will cause bridge damage caused by vehicle loads. In severe cases, major accidents will occur, causing loss of people's lives and property. [0003] The bridge under the action of dynamic load produces dynamic effects in the horizontal, vertical and vertical directions of space, and the vertical dynamic effect is called the impact effect. Usually, the total vertical load effect of moving l...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/367
Inventor 石雄伟周勇军袁卓亚赵煜王业路徐婷婷
Owner CHANGAN UNIV
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