CN106991233A  A kind of analysis method of prestressed concrete beam bridge load effect  Google Patents
A kind of analysis method of prestressed concrete beam bridge load effect Download PDFInfo
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 CN106991233A CN106991233A CN201710207923.8A CN201710207923A CN106991233A CN 106991233 A CN106991233 A CN 106991233A CN 201710207923 A CN201710207923 A CN 201710207923A CN 106991233 A CN106991233 A CN 106991233A
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 G—PHYSICS
 G06—COMPUTING; CALCULATING; COUNTING
 G06F—ELECTRIC DIGITAL DATA PROCESSING
 G06F30/00—Computeraided design [CAD]
 G06F30/20—Design optimisation, verification or simulation
 G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]

 G—PHYSICS
 G06—COMPUTING; CALCULATING; COUNTING
 G06F—ELECTRIC DIGITAL DATA PROCESSING
 G06F30/00—Computeraided design [CAD]
 G06F30/10—Geometric CAD
 G06F30/13—Architectural design, e.g. computeraided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads

 G—PHYSICS
 G06—COMPUTING; CALCULATING; COUNTING
 G06F—ELECTRIC DIGITAL DATA PROCESSING
 G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
 G06F2119/06—Power analysis or power optimisation
Abstract
Description
Technical field
The present invention relates to bridge load analysis technical field, more particularly to a kind of prestressed concrete beam bridge load The analysis method of effect.
Background technology
Researching and analysing for bridge load effect is an important topic for being related to bridge security operation, current Britain, U.S. Substantial amounts of research work has been carried out in the countries such as state, Japan, European Union, is all given in respective Bridge Design specification corresponding Fatigue design traffic spectra or tired auto model, the wherein specification fatigue load spectrum of Britain studies the most comprehensive, its formulation side Method is also imitated by many countries.
For other countries, highway in China bridge researching and analysing for specification of fatigue relatively lags behind, and causes current Highway bridge fatigue design sets 1 loaded vehicle in timing criteria mobile load with reference to international norm or using static strength mostly.So And, the objective of fatigue design is on the basis of the vehicular load of the actual operation of bridge, with reference to international norm or to use Standard live load In 1 loaded vehicle caused by design deviation it is very important.
At present, numerous domestic scholar has carried out numerous studies to the bridge fatigue load spectrum suitable for China, summarizes very Many invaluable experiences, but due to the traffic line position and the difference of bridge structure residing for each bridge, each calculation and analysis methods are applicable Scope is relatively small；And in actual Bridge Design, management and operation, it is often necessary to the accurate different automobile types that calculate are not to Lacking with the load effect of the prestressed concrete beam bridge of structure type, but the research to this respect domestic at present more systematicness and It is general.
The content of the invention
To overcome the disadvantages described above that prior art is present, the present invention provides a kind of prestressed concrete beam bridge load effect Analysis method, this method can accurately analyze the load effect for calculating different automobile types to the prestressed concrete beam bridge of different types of structure Should.
In order to solve the above technical problems, the present invention is adopted the following technical scheme that：
A kind of analysis method of prestressed concrete beam bridge load effect, comprises the following steps：
S1, the actual traffic amount based on bridge to be analyzed, equivalent classification obtain its Equivalent Fatigue traffic spectra；
S2, the fatigue load spectrum based on bridge to be analyzed, obtain the stress timehistories at its principal tensile stress response most unfavorable combination；
S3, the principal tensile stress timehistories based on bridge to be analyzed, extract and obtain bridge Cyclic Stress data in fact.
In the abovementioned technical solutions, in step S1, the foundation that the acquisition Equivalent Fatigue traffic spectra is used is the U.S. AASHTO specifications.
Further, in the abovementioned technical solutions, in step S1, the equivalent classification obtains its Equivalent Fatigue traffic spectra bag Include：
S11, the wagon flow parameter using dynamic weighing system statistics bridge to be analyzed；
It S12, will be divided by vehicle on bridge to be analyzed according to the number of axle, and be classified as 5 class model vehicles；
S13, quantity and wagon flow parameter according to the actual vehicle being included into each model vehicle, according to the side of equivalent axis weight Formula, calculates the equivalent axis weight and equivalent axis of each model vehicle away from obtaining its Equivalent Fatigue traffic spectra.
In the abovementioned technical solutions, it is described to obtain at bridge principal tensile stress response most unfavorable combination to be analyzed in step S2 Stress timehistories includes：
S21, the design and construction drawing based on bridge to be analyzed, set up bridge FEM model in fact；
S22, based on real bridge FEM model, determine its principal tensile stress respond most unfavorable combination point；
S23, the principal tensile stress timehistories for obtaining most unfavorable combination point, analyze the stress state of most unfavorable combination point, obtain most The ratio timehistories of unfavorable position point direct stress and shear stress.
Further, in the abovementioned technical solutions, in step S22, the vehiclemounted wheel weight of simulation is set up using TimeHistory Analysis Method Real bridge FEM model under effect, obtains bridge principal tensile stress response most unfavorable combination point to be analyzed.
In the abovementioned technical solutions, in step S3, the principal tensile stress timehistories for extracting bridge to be analyzed using rain flow method should Power is circulated, and obtains bridge Cyclic Stress data in fact.
Further, in the abovementioned technical solutions, in step S3, the principal tensile stress timehistories stress for extracting bridge to be analyzed Circulation includes realizing that data compression and circulation are extracted using Matlab programs, obtains bridge Cyclic Stress data in fact.
Advantages of the present invention：The analysis method of prestressed concrete beam bridge load effect provided by the present invention, based on treating point The actual measurement wagon flow data of bridge are analysed, using the method for digital simulation, the Cyclic Stress data of bridge to be analyzed are obtained, pure science is divided Analyse result science reliable, strong applicability, with important engineering significance.
Except it is described above present invention solves the technical problem that, constitute technical scheme technical characteristic and have this Outside the advantage that the technical characteristic of a little technical schemes is brought, what other technical characteristics of the invention and these technical characteristics were brought Advantage, will be further illustrated with reference to accompanying drawing.
Brief description of the drawings
Fig. 1 be the embodiment of the present invention in prestressed concrete beam bridge load effect analysis method schematic flow sheet；
Fig. 2 is Xiamen to Chengdu National Highway Bijie in the embodiment of the present invention to No. 1 bridge left side of life section kwanyin rock The real bridge FEM model figure of the 2nd (B1 bridges)；
Fig. 3 is principal tensile stress envelope diagram of the B1 bridges under M5 timehistories operating modes in the embodiment of the present invention；
Fig. 4 is B1 bridges in the embodiment of the present invention in the principal tensile stress envelope diagram being superimposed into bridge operating mode under M5 timehistories operating modes；
Fig. 5 is B1 bridge principal tensile stress timehistory analysis points in the embodiment of the present invention in crosssection analysis position view；
Fig. 6 is principal tensile stress timeamplitude map of No. 6 location points of B1 bridges under different model vehicles in the embodiment of the present invention；
Fig. 7 is No. 6 location points of B1 bridges corresponding direct stress of principal tensile stress under different model vehicles in the embodiment of the present invention With shear stress ratio timeamplitude map；
Fig. 8 is stresscycle diagram of No. 6 location points of B1 bridges under M5 vehicles in the embodiment of the present invention.
Embodiment
To make the purpose, technical scheme and advantage of the embodiment of the present invention clearer, below in conjunction with the embodiment of the present invention In accompanying drawing, the technical scheme in the embodiment of the present invention is clearly and completely described, it is clear that described embodiment is A part of embodiment of the present invention, rather than whole embodiments.Based on the embodiment in the present invention, ordinary skill people The every other embodiment that member is obtained on the premise of creative work is not made, belongs to the scope of protection of the invention.
Present embodiments provide a kind of analysis method of prestressed concrete beam bridge load effect.
As shown in figure 1, the analysis method of the prestressed concrete beam bridge load effect in the embodiment of the present invention mainly includes Step as described below：
S1, the actual traffic amount based on bridge to be analyzed, equivalent classification obtain its Equivalent Fatigue traffic spectra.
In the technical scheme of the embodiment of the present invention, the wagon flow parameter of bridge to be analyzed is counted using dynamic weighing system, will The feature Preliminary division that axle weight and the number of axle are pressed by the vehicle of bridge to be analyzed is V1~V12 totally 12 classes, then, then wagon flow is investigated Statistical result is classified as model vehicle A1~A5 totally 5 classes by the number of axle, the quantity according to the actual vehicle being included into each model vehicle With wagon flow parameter, in the way of equivalent axis weight, based on U.S.'s AASHTO specifications, calculate the equivalent axis weight of each model vehicle and wait Wheelbase is imitated, its Equivalent Fatigue traffic spectra is obtained.
S2, the fatigue load spectrum based on bridge to be analyzed, obtain the stress timehistories at its principal tensile stress response most unfavorable combination.
In the technical scheme of the embodiment of the present invention, according to the design and construction drawing of bridge to be analyzed, construction simulation process is built Vertical reality bridge FEM model；Using the vehiclemounted wheel recast finite element bridge model of TimeHistory Analysis Method simulation, bridge main drawing is obtained Stress response most unfavorable combination point；The principal tensile stress timehistories at most unfavorable combination is obtained, stress state at most unfavorable combination is entered Row analysis, further obtains the direct stress and shear stress ratio timehistories at the position.
S3, the principal tensile stress timehistories based on bridge to be analyzed, extract and obtain bridge Cyclic Stress data in fact.
In the technical scheme of the embodiment of the present invention, based on rain flow method principle, treated point using Matlab Program extractions The principal tensile stress timehistories Cyclic Stress of bridge is analysed, bridge Cyclic Stress data in fact are obtained.
For example, specifically, according to the actual traffic amount of Xiamen to Chengdu National Highway, analysis, which is calculated, obtains this at a high speed On highway Bijie to life section kwanyin bridge left the 2nd of rock 1 Cyclic Stress data.
Step one, the actual traffic amount based on bridge to be analyzed, equivalent classification obtains its Equivalent Fatigue traffic spectra.
The survey data of the actual traffic amount of the highway is as shown in table 1 below.
The year actual traffic amount application form of certain highway of table 1
Wagon flow investigation statisticses result is classified as model vehicle A1~A5 totally 5 classes by the number of axle, it is as a result as shown in table 2 below.
The model vehicle categorization results table of 2 years actual traffic amounts of table
The calculating of equivalent axis weight is, according to linear cumulative damage law and Fatigue Damage Equivalence principle, n not to be weighed coaxially W_{i}Act on once equivalent to some axle weight W respectively_{eq}Repeated action n times, makes both cause structural fatigue accumulated damage consistent, W_{eq}I.e. For equivalent axis weight, its equivalent expression can be expressed as following formula with reference to U.S.'s AASHTO specifications：
In formula, f_{i}For the ratio shared by ith kind of vehicle in same model, W_{ij}For the jth root of ith kind of vehicle in actual vehicle The axle weight of axle, W_{eq}For the equivalent axis weight that jth root axle is calculated in this model car.
Model car equivalent axis away from the wheelbase of calculating each actual vehicle for will being included into same model car take weighted average and obtain Each equivalent axis of this model car is obtained away from its calculation formula can be expressed as following formula：
A_{j}=∑ f_{i}A_{ij}
In formula, A_{j}For jth of wheelbase of model car, A_{ij}For jth of wheelbase of ith car being included into same model.
The equivalent axis weight and equivalent axis that obtain each model vehicle are calculated away from as a result as shown in table 3 below.
The equivalent axis of table 3 weight and equivalent axis away from result of calculation table
In order to which the parameters of loading of simplified model vehicle and application are convenient, final load frequency value spectrum refetches equivalent axis 5kN multiple, average wheelbase takes 0.5m multiple, as shown in table 4 below：
The load frequency value spectrum (rounding) of the highway concrete beam bridge of table 4
Step 2, based on the fatigue load spectrum of bridge to be analyzed, obtains the stress at its principal tensile stress response most unfavorable combination Timehistories.
Xiamen to Chengdu National Highway Bijie is set up to the finite element of life section kwanyin bridge left the 2nd of rock 1 Model, the indices such as physical dimension, concrete grade, regular reinforcement and the deformed bar of model are set according to design drawing Put, construction technology is turns continuous after first freelysupported, and bridge is full prestressing structure, and girder span centre is upper and lower during least favorable Load Combination Edge and fulcrum upper limb occur without tension, and bridge lateral is calculated according to rigid connected beam method.To make the bridge completion state and reality of model structure Border bridge completion state is more coincide, and the construction overall process of bridge is simulated using the form on Lifeanddeath element and border.
The part index number of modeling see the table below shown in 5 and table 6.
The technical indicator of the bridge of table 5
The bridge superstructure design load of table 6
The real bridge FEM model of the bridge is as shown in Figure 2.
B1 bridges are 4 × 40 meters of continuous bridges, by the model calculation, under M5 timehistories dynamic load operating modes, Side bar 1 and 4 across span centre near the principal tensile stress that produces of section it is maximum, as shown in figure 3, maximum is 2.70MPa, principal tensile stress It is main to be contributed by timehistories load bending normal stresses.It is superimposed as after bridge operating mode, due to the effect of presstressed reinforcing steel preapplied force, span centre position Principal tensile stress is put unobvious, as shown in figure 4, and there is maximal main extended stress in pier top section under curved scissors active state, maximum For 1.09MPa.Therefore, the calculating location point of timehistory analysis is used as using the maximum location point of principal tensile stress change on pier top section.
Further accurately find out maximal main extended stress position 1,2 across pier top at the position of No. 31 unit J ends 6, such as Shown in Fig. 5.
Using No. 6 positions as target point, the principal tensile stress timehistories under the different model vehicles of this location point is calculated, knot is calculated Fruit is as shown in fig. 6, ten points of maximal main extended stress value 1.09MPa in figure in the principal tensile stress maximum of M5 curves and coenvelope figure It is close.By the way that to Calculation Shear, the torsional shearing stress produced under timehistories Vehicle Load is greater than cutting for shearing Stress.
It is illustrated in figure 7 after No. 6 positions calculate that principal tensile stress is corresponding and are superimposed into bridge operating mode with timehistories load case just The ratio timehistory curves of stress and shear stress, from curve it was found from, under bridge completion state, calculate No. 6 positions at direct stress with The ratio of shear stress is 1.6 or so, when vehicle passes through, and ratio changes, when M5 vehicles are acted on, direct stress and shear stress ratio It is worth minimum 0.4 or so.
Step 3, the principal tensile stress timehistories based on bridge to be analyzed is extracted and obtains bridge Cyclic Stress data in fact.
Structure or the Fatigue Stress History of component have to be extracted as Cyclic Stress one by one, and this is bridge under vehicle loading Cumulative Fatigue Damage calculates a necessary links with reliability analysis.It is usually first that rainflow counting is realized in MATLAB tool boxes Data compression is realized using paddy peak method, period extraction is then carried out.The essence of paddy peak method is at 3 points and compares extraction stress curve Crest and trough.The step of extraction is：Stress data is successively read from original stress timehistory curves first, then by suitable Sequence compares the size of stress value, if some value is maximum or minimum, retains this stress value, and delete other numbers According to finally institute's data with a grain of salt are connected in turn, rear new stress timehistory curves are simplified.
It is a series of different averages and width to handle the result obtained after every principal tensile stress timehistory curves by rain flow method The complete alternation of value or half cycle.By taking M5 model vehicles as an example, it is as shown in Figure 8 that it counts bar side's figure.
Each principal tensile stress timehistory curves can transform into a series of different averages and amplitude complete alternation or half cycle, But in actual calculating process, after all complete alternations and half cycle are arranged according to the order of amplitude size from big to small, row The amplitude of all circulations all very littles later, the contribution for fatigue damage is very faint, and the values that typically can use preceding 3 circulations are used In damage measurement.In order to ensure the accuracy calculated, the calculating that preceding 5 complete alternations or half cycle are taken herein to be used for hereinafter is ground Study carefully, result is as shown in table 7.
Preceding 5 Cyclic Stress summary sheets after the processing of the rainflow counting of table 7
Note：Amplitude in text is stress amplitudeAverage is mean stresss_{max}、s_{min} The maximum stress and minimum stress in each complete alternation or half cycle are represented respectively；Circulate a row 0.5 and represent half cycle, 1 represents Complete alternation.
Finally, the preferred embodiment of the present invention is these are only, is not intended to limit the scope of the present invention.It is all this Within the spirit and principle of invention, any modification, equivalent substitution and improvements made etc. should be included in the protection model of the present invention Within enclosing.
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CN102384856A (en) *  20110815  20120321  东南大学  Probabilistic finite element method (PFEM)based steelbridge fatigue reliability evaluation method 
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