CN108021732B - Online damage early warning method for modular expansion joint of cable-supported bridge - Google Patents
Online damage early warning method for modular expansion joint of cable-supported bridge Download PDFInfo
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Abstract
The invention discloses an online damage early warning method for a modular expansion joint of a cable-supported bridge, which comprises the steps of firstly establishing an integral finite element model of a beam end, then establishing a mathematical model of correlation between main beam midspan deflection and supporting beam strain as well as vehicle load and midspan strain according to the finite element model, further arranging a vertical deflection sensor in the main beam span of the bridge to obtain the daily maximum value of the main beam vertical deflection and a toll station to collect vehicle load information to obtain the daily total weight of the vehicle load, and finally calculating the strain of the supporting beam and the strain of the midspan every day based on the correlation model and the actually measured main beam midspan deflection and vehicle load, thereby performing online damage early warning analysis on the supporting beam and the midspan of the modular expansion joint. The invention solves the real-time analysis and early warning of the damage between the bridge expansion joint supporting beam and the middle beam, is convenient for the protection of the bridge damage and improves the safety.
Description
Technical Field
The invention belongs to nondestructive testing of a cable bridge girder modular expansion joint, and particularly relates to an online damage early warning method of the cable bridge girder modular expansion joint.
Background
The bridge expansion joint is mainly used for meeting the shrinkage and expansion deformation of the bridge under the action of temperature, wind load and vehicle load, and compared with other components of the bridge, the expansion joint is subjected to more frequent deformation damage, so the durability problem becomes one of the key problems of bridge management and maintenance. The expansion joint is damaged by various reasons, such as an excessive vehicle load, damage to a connection part, and failure of installation and construction of the expansion joint or failure of meeting maintenance requirements. The average life span of the expansion joint is generally 15 years to 20 years, which is far shorter than the life cycle of the bridge. Moreover, the maintenance cost of the expansion joint generally occupies 7 to 8 percent of the maintenance cost of the bridge.
Because the cable bridge girder has large flexibility, the accumulated displacement at the expansion joint is large, and the expansion joint is more easily damaged in the cable bridge girder system. For example, the largest suspension bridge Ming Shi strait bridge in the world has fatigue failure at the connection of expansion joints in only 3 years after 1998 traffic; after the bridge in Yangyin Yangtze river is communicated in 1999, damage is generated at the connection part of the expansion joint and the main beam in 2003, and finally, the expansion joint member has to be replaced by a new expansion joint member in 2007. The cable bridge girder has a large displacement at the girder end, so that a modulus type expansion joint is generally adopted. The diseases of the bridge in Yangtze river and Yangtze river show that the supporting beam and the middle beam of the modular expansion joint are more susceptible to accumulated strain damage. Therefore, by utilizing the advanced sensor technology and the mature finite element modeling technology, key components such as the supporting cross beam, the middle beam and the like of the modular expansion joint of the cable-supported bridge are monitored on line, early warning is timely made, and a scientific basis is provided for maintenance management of the expansion joint.
Disclosure of Invention
The purpose of the invention is as follows: aiming at the defects of the prior art, the invention provides an online damage early warning method for a cable bridge girder modular expansion joint, which aims at early warning the online damage of two key components, namely a supporting beam and a middle beam, in the cable bridge girder modular expansion joint, and improves the bridge health monitoring technology and the bridge safety.
The technical scheme is as follows: an online damage early warning method for a cable bridge girder modular expansion joint comprises the following steps:
(1) arranging a girder mid-span vertical deflection sensor;
(2) respectively establishing mathematical correlation models of the girder mid-span deflection and the supporting beam strain of the modular expansion joint and the vehicle load and the middle girder strain of the modular expansion joint;
(3) processing the monitoring data;
(4) and early warning the online damage of the supporting cross beam and the middle beam.
Further, the sensors in the step (1) are arranged at the midspan positions of the main beams of the cable-supported bridge, and the number of the sensors is one or more than one;
further, the step (2) comprises the following steps:
(2.1) establishing an integral finite element model of the cable-supported bridge with the beam end comprising the modulus type expansion joint;
(2.2) loading the midspan deflection of the girder under the condition of not applying vehicle load, gradually changing the midspan deflection d of the girder from 0.2m to 3.0m, wherein each step is 0.1m to 0.3m, and calculating the strain value epsilon generated at the supporting beam of the modulus type expansion joint when the midspan deflection d is loaded on the bridge models；
(2.3) loading the load of the main beam vehicle under the condition of no deflection loading in the midspan, gradually changing the load P of the vehicle from 5kN to 300kN, changing 10kN to 30kN in each step, and calculating the strain value epsilon generated at the middle beam of the modulus type expansion joint when the load P of the vehicle passes through the bridge modelc；
(2.4) respectively establishing the midspan deflection d of the main beam and the strain epsilon of the supporting beam of the modulus type expansion joint by adopting a linear regression methodsMiddle beam strain epsilon of vehicle load P and modulus type expansion jointcThe regression model parameters are calculated by a least square method.
Further, the processing of the monitoring data in the step (3) takes 1 day as a calculation interval, and the processing of the raw data acquired by the vertical displacement sensor in the main girder span comprises the steps of calculating the daily maximum value of the vertical deflection of the main girder span, collecting vehicle load information through a toll station and calculating the daily total weight of all vehicle loads passing through the bridge on the day.
Further, the step (4) comprises the following specific steps:
(4.1) calculating the strain epsilon of the supporting beam corresponding to the daily maximum value d of the vertical flexibility obtained by monitoring according to the correlation model in the step 2sFrom this, the cumulative strain ε of m days was calculatedstIf the strain ε is accumulatedstIf the accumulated strain threshold allowed by the supporting beam is exceeded, early warning of damage of the supporting beam of the modular expansion joint is made on line;
(4.2) calculating the centre sill strain epsilon corresponding to the daily gross weight of the monitored vehicle load according to the correlation model in the step 2cOn the basis of which the cumulative strain epsilon for m days is calculatedctIf the strain ε is accumulatedctAnd if the accumulated strain threshold allowed by the middle beam is exceeded, early warning of the damage of the middle beam of the modulus type expansion joint is made on line.
Has the advantages that: compared with the prior art, the invention has the obvious effects that the invention provides an online early warning analysis method aiming at the damage problem of two key components of a supporting beam and a middle beam in the cable-supported bridge module type expansion joint, and the bridge health monitoring technology and the bridge safety are improved; on the other hand, the method provides analog-digital analysis processing for monitoring the damage of the supporting beam and the middle beam of the bridge, and the method is higher in practicability.
Drawings
Fig. 1 is a schematic block diagram of the present invention.
Detailed Description
For the purpose of illustrating the technical solutions disclosed in the present invention in detail, the following description is further provided with reference to the accompanying drawings and specific examples.
As shown in fig. 1, an online damage early warning method for a modular expansion joint of a cable bridge girder comprises the following steps:
(1) when the cable-supported bridge is constructed, a vertical deflection sensor is arranged on the cross section of the main girder span and used for monitoring the vertical deflection of the main girder span;
(2) according to a design drawing of a cable-supported bridge, an ABAQUS software is adopted to establish an integral finite element model of the cable-supported bridge with a beam end comprising a modulus type expansion joint. Then, the midspan deflection loading of the girder is carried out under the condition of not applying vehicle load, the midspan deflection d of the girder is changed from 0.2m to 3.0m step by step, each step is changed by 0.2m, and the strain value epsilon generated at the supporting beam of the modulus type expansion joint when the midspan deflection d is loaded on the bridge model is calculateds(ii) a Loading the load of the main beam vehicle under the condition of no deflection loading of the reloading midspan, gradually changing the load P of the vehicle from 5kN to 300kN by 20kN, and calculating the strain value epsilon generated at the middle beam of the modulus type expansion joint when the load P of the vehicle passes through the bridge modelc；
(3) Respectively establishing the span-center deflection d of the main beam and the strain epsilon of the supporting beam of the expansion joint by adopting a linear regression methodsAnd vehicle load P and expansion joint center sill strain epsiloncThe model expression is as follows:
εs＝βs0+βs1d (1)
εc＝βc0+βc1P (2)
in the formula, βs0、βs1、βc0And βc1As a regression coefficient, it can be obtained by the least squares method:
in the formula (I), the compound is shown in the specification,
the covariance of the strain of the supporting beam and the midspan deflection of the main beam is obtained; sddIs the variance of mid-span deflection;
the covariance of the centre sill strain and the vehicle load; sPPIs the variance of the vehicle load;
and
the mean values of the strain of the supporting cross beam, the midspan deflection of the main beam, the strain of the middle beam and the load of the vehicle are respectively.
(4) The raw monitoring data is processed as follows:
taking 1 day as a calculation interval of the vertical deflection of the main girder span, and calculating the daily maximum value of the vertical deflection of the main girder span; and calculating the total daily weight of all vehicle loads passing through the bridge on the same day by taking 1 day as a calculation interval through the vehicle load information collected by the toll station.
(5) Calculating the accumulated strain value of the key component of the modular expansion joint in the actual operation process: inputting the daily maximum vertical flexibility value obtained by monitoring in the step (4) into the correlation model in the step (3) to obtain the daily strain value of the corresponding expansion joint supporting beam, and calculating the accumulated strain epsilon of m days on the basisstIf the strain ε is accumulatedstAnd if the accumulated strain threshold allowed by the supporting beam is exceeded, the damage early warning of the supporting beam of the modular expansion joint is made on line.
(6) Monitored in the step (4)Inputting the daily total weight of the load of the vehicle into the correlation model in the step (3) to obtain a daily strain value of the strain of the beam in the corresponding expansion joint, and calculating the cumulative strain epsilon of m days on the basisctIf the strain ε is accumulatedctAnd if the accumulated strain threshold allowed by the middle beam is exceeded, early warning of the damage of the middle beam of the modulus type expansion joint is made on line.
Claims (2)
1. The utility model provides an online damage early warning method of cable bridge girder modulus formula expansion joint which characterized in that: the method comprises the following steps:
(1) arranging a girder mid-span vertical deflection sensor;
(2) respectively establishing mathematical correlation models of the girder mid-span deflection and the supporting beam strain of the modular expansion joint and the vehicle load and the middle girder strain of the modular expansion joint, specifically as follows:
(2.1) establishing an integral finite element model of the cable-supported bridge with the beam end comprising the modulus type expansion joint;
(2.2) loading the midspan deflection of the girder under the condition of not applying vehicle load, gradually changing the midspan deflection d of the girder from 0.2m to 3.0m, wherein each step is 0.1m to 0.3m, and calculating the strain value epsilon generated at the supporting beam of the modulus type expansion joint when the midspan deflection d is loaded on the bridge models；
(2.3) loading the load of the main beam vehicle under the condition of no deflection loading in the midspan, gradually changing the load P of the vehicle from 5kN to 300kN, changing 10kN to 30kN in each step, and calculating the strain value epsilon generated at the middle beam of the modulus type expansion joint when the load P of the vehicle passes through the bridge modelc；
(2.4) respectively establishing the midspan deflection d of the main beam and the strain epsilon of the supporting beam of the modulus type expansion joint by adopting a linear regression methodsMiddle beam strain epsilon of vehicle load P and modulus type expansion jointcThe regression parameters are calculated by a least square method;
(3) processing the monitoring data, namely processing original data acquired by a vertical displacement sensor in a main girder span by taking 1 day as a calculation interval, wherein the processing comprises calculating the daily maximum value of the vertical deflection of the main girder span, collecting vehicle load information through a toll station and calculating the daily total weight of all vehicle loads passing through the bridge on the same day;
(4) the online damage early warning of supporting beam and centre sill specifically is as follows:
(4.1) calculating the strain epsilon of the supporting beam corresponding to the maximum value of the day of vertical flexibility obtained by monitoring according to the correlation model obtained in the step (2)sFrom this, the cumulative strain ε of m days was calculatedstIf the strain ε is accumulatedstIf the accumulated strain threshold allowed by the supporting beam is exceeded, early warning of damage of the supporting beam of the modular expansion joint is made on line;
(4.2) calculating the strain epsilon of the middle beam corresponding to the daily total weight of the monitored vehicle load according to the correlation model in the step (2)cOn the basis of which the cumulative strain epsilon for m days is calculatedctIf the strain ε is accumulatedctAnd if the accumulated strain threshold allowed by the middle beam is exceeded, early warning of the damage of the middle beam of the modulus type expansion joint is made on line.
2. The on-line damage early warning method for the modular expansion joint of the cable bearing bridge as claimed in claim 1, wherein: the sensors in the step (1) are arranged at the midspan positions of the main beams of the cable-supported bridge, and the number of the sensors is one or more than one.
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| CN108399277B (en) * | 2018-01-24 | 2021-09-21 | 华南理工大学 | Bridge damage identification method based on temperature and strain correlation |
| CN110083998B (en) * | 2019-06-05 | 2021-02-05 | 安徽省交通控股集团有限公司 | Method for evaluating service life of expansion joint of cable bearing bridge |
| CN110132161A (en) * | 2019-06-19 | 2019-08-16 | 厦门大学 | A method of based on strain measurement mid-span deflection in bridge span |
| CN110414179B (en) * | 2019-08-07 | 2022-10-18 | 深圳市市政设计研究院有限公司 | Cable body damage monitoring method and system for inhaul cable type bridge with main longitudinal beam |
| CN110853164B (en) * | 2019-11-12 | 2021-11-30 | 广州大学 | Road network damage-based traffic charging method, system, medium and charging equipment |
| CN111256924B (en) * | 2020-03-06 | 2021-12-03 | 东南大学 | Intelligent monitoring method for expansion joint of large-span high-speed railway bridge |
| CN114214930A (en) * | 2022-01-14 | 2022-03-22 | 江苏领跑梦设计研究有限公司 | Fully-prefabricated assembled bridge expansion device |
| CN115828393B (en) * | 2022-12-21 | 2023-07-28 | 广西北投公路建设投资集团有限公司 | Bridge informatization management method, system, electronic equipment and medium |
| CN117290692B (en) * | 2023-11-24 | 2024-02-13 | 交通运输部公路科学研究所 | Expansion joint device service performance evaluation method and system based on internet of things (IoT) intelligent perception |
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Application publication date: 20180511 Assignee: Nanjing Tangyi Information Technology Co.,Ltd. Assignor: NANJING INSTITUTE OF TECHNOLOGY Contract record no.: X2024980002000 Denomination of invention: An online damage warning method for modular expansion joints in cable supported bridges Granted publication date: 20200331 License type: Common License Record date: 20240206 |
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Application publication date: 20180511 Assignee: Nanjing Institute of Engineering Technical Service Co.,Ltd. Assignor: NANJING INSTITUTE OF TECHNOLOGY Contract record no.: X2024980002478 Denomination of invention: An online damage warning method for modular expansion joints in cable supported bridges Granted publication date: 20200331 License type: Common License Record date: 20240305 |