CN111274646B - Method and device for acquiring synthetic fatigue stress of steel bridge fatigue sensitive area - Google Patents
Method and device for acquiring synthetic fatigue stress of steel bridge fatigue sensitive area Download PDFInfo
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Abstract
The embodiment of the invention provides a synthetic fatigue stress acquisition method and a synthetic fatigue stress acquisition device for a steel bridge fatigue sensitive area, wherein the method comprises the following steps: acquiring residual tensile strain of a bridge fatigue sensitive area; acquiring a strain time-course data sequence of a steel bridge fatigue sensitive area under the action of an external load; calculating a strain increment sequence according to the strain time-course data sequence; determining the stress of the bridge fatigue sensitive area before stress synthesis according to the residual tensile strain; and obtaining the synthesized fatigue stress of the bridge fatigue sensitive area according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis. The method can adapt to various modes of stress generated by external load, is favorable for effective synthesis according to a material constitutive model and residual tensile strain of steel used for the steel bridge, and has a wide application range.
Description
Technical Field
The invention relates to the technical field of bridge engineering, in particular to a method and a device for acquiring synthetic fatigue stress of a fatigue sensitive area of a steel bridge.
Background
The fatigue cracking problem of the steel bridge in the service process is that the engineering in the bridge engineering field is stubborn, and many influencing factors influencing the fatigue performance of the steel bridge exist, and in the past, engineering technicians at home and abroad mainly pay attention to the influence of external load action such as vehicle load and the like on the fatigue performance of the steel bridge, so that a series of research achievements and design methods are formed. However, in recent years more and more practical engineering cases have shown that the residual stresses present in steel bridge structural members have a non-negligible effect on their fatigue properties. In the process of factory processing and field construction of steel bridge components, residual tensile stress can be generated in the components by steel plate cutting, welding and other construction processes, and a large number of calculations and tests at home and abroad show that the residual tensile stress in the steel bridge can be close to or even exceed the yield strength of steel, so that certain areas of the steel bridge enter a complex elastoplastic state before bearing external load.
Therefore, how to reasonably and effectively synthesize the residual tensile stress and the stress under the action of the external load is the basis for calculating and evaluating the fatigue life of the fatigue sensitive area of the steel bridge. However, on one hand, the influence of the steel fatigue stress is mostly not considered when the steel bridge fatigue design is carried out at home and abroad, so that the fatigue design life of the steel bridge sometimes has a larger difference with the actual life, and on the other hand, although some designers recognize the influence of the residual stress on the fatigue performance of the steel bridge and superpose the residual stress and the stress generated by an external load, the used method has a complex calculation process, takes a long time for calculation and is difficult to consider the actually measured external load stress.
Disclosure of Invention
In order to solve the above problems, embodiments of the present invention provide a method and an apparatus for obtaining a synthetic fatigue stress of a fatigue sensitive area of a steel bridge.
In a first aspect, an embodiment of the present invention provides a method for obtaining a synthetic fatigue stress of a fatigue sensitive area of a steel bridge, including: acquiring residual tensile strain of a bridge fatigue sensitive area; acquiring a strain time-course data sequence of a steel bridge fatigue sensitive area under the action of an external load; calculating a strain increment sequence according to the strain time-course data sequence; determining the stress of the bridge fatigue sensitive area before stress synthesis according to the residual tensile strain; and obtaining the synthesized fatigue stress of the bridge fatigue sensitive area according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis.
Further, the acquiring of the strain time-course data sequence of the steel bridge fatigue sensitive area under the action of the external load comprises: and arranging a strain sensor in the fatigue sensitive area of the steel bridge for real-time monitoring, or adopting a finite element model for calculation, and acquiring strain time-course data of the fatigue sensitive area of the steel bridge under the action of an external load.
Further, after acquiring the strain time-course data sequence of the fatigue sensitive area of the steel bridge under the action of the external load, the method further comprises the following steps: extracting wave crests and wave troughs in the strain time course data to obtain a new strain time course data sequence; correspondingly, the strain increment sequence is calculated according to the strain time-course data sequence, and specifically comprises the following steps: and calculating a strain increment sequence according to the new strain time course data sequence.
Further, calculating a strain increment sequence according to the strain time course data sequence, wherein the strain increment sequence comprises the following steps: and (3) strain time-course data sequence, wherein the first data is unchanged, and each subsequent data is replaced by a result obtained by subtracting the previous data.
Further, the determining the stress of the bridge fatigue sensitive area before stress synthesis according to the residual tensile strain comprises: and determining the stress of the bridge fatigue sensitive area before stress synthesis by adopting a bilinear isotropic hardening model as a material constitutive model of steel used for the steel bridge according to the residual tensile strain.
Further, obtaining a synthetic fatigue stress of the bridge fatigue sensitive area according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis, including: and obtaining the synthetic fatigue stress of the bridge fatigue sensitive area based on the loading and unloading rules of the steel material constitutive model according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis.
Further, obtaining the synthetic fatigue stress of the bridge fatigue sensitive area based on the loading and unloading rules of the steel material constitutive model according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis, and the method comprises the following steps:
σ 1 ＝σ c 、ε″ 1 ＝ε r and k =1, repeating the following judgment and calculation processes until k is equal to m, and obtaining the composite fatigue stress of the bridge fatigue sensitive area:
if σ k ＝E·ε″ k When the strain increases by Δ ε k ≤(ε y -ε″ k ) When it is in use, then epsilon ″ k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ k +Δ ε k.E, as strain increase Δ ε k ＞(ε y -ε″ k ) When, epsilon ″ k+1 ＝ε″ k +Δε k ，σ k+1 ＝f y +(ε″ k+1 -ε y )·E 1 ；
If σ k ＝f y +(ε″ k -ε y )·E 1 When the strain increases by Δ ε k If less than 0, epsilon k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ k +Δε k E, increase in strain Δ ε k At more than or equal to 0, epsilon k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ k +Δε k ·E 1 ；
If σ k ＜E·ε″ k And sigma k ＜f y +(ε″ k -ε y )·E 1 Let us order
When strain increases by Δ ε k ≤(ε A -ε″ k ) When, epsilon ″ k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ k +Δε k E, as strain increases Δ ε k ＞(ε A -ε″ k ) When, epsilon ″ k+1 ＝ε″ k +αε k ，σ k+1 ＝σ A +(ε″ k+1 -ε A )·E 1 ；
Wherein the parameters of the bilinear isotropic hardening model comprise an elastic modulus E and a deformation modulus E 1 Yield strength f y Yield strain epsilon y ＝f y /E；ε r Is the residual tensile strain, σ c The stress of the bridge fatigue sensitive area before stress synthesis; if epsilon r ＜ε y ，σ c ＝ε r E; if epsilon r ≥ε y ，σ c ＝f y +(ε r -ε y )×E 1 ；σ＝[σ c ,σ 2 ,…,σ m+1 ]，ε″＝[ε r ,ε″ 2 ,…,ε″ m+1 ]Respectively synthetic fatigue stress and synthetic fatigue strain; delta epsilon = [ epsilon' 1 ,Δε 2 ,Δε 3 ,…,Δε m ]The strain increment sequences are k =1, 2 \8230m, and the numbers are indicated.
In a second aspect, an embodiment of the present invention provides a device for acquiring a composite fatigue stress of a fatigue sensitive area of a steel bridge, including: the residual tensile strain acquisition module is used for acquiring the residual tensile strain of the bridge fatigue sensitive area; the strain increment sequence calculating module is used for calculating the strain increment sequence according to the strain time course data sequence; the fatigue sensitive area stress acquisition module is used for determining the stress of the bridge fatigue sensitive area before stress synthesis according to the residual tensile strain; and the synthetic fatigue stress calculation module is used for obtaining the synthetic fatigue stress of the bridge fatigue sensitive area according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis.
In a third aspect, an embodiment of the present invention provides an electronic device, which includes a memory, a processor, and a computer program stored in the memory and executable on the processor, where the processor executes the computer program to implement the steps of the method for obtaining a composite fatigue stress of a fatigue-sensitive area of a steel bridge according to the first aspect of the present invention.
In a fourth aspect, embodiments of the present invention provide a non-transitory computer readable storage medium, on which a computer program is stored, which computer program, when executed by a processor, implements the steps of the synthetic fatigue stress acquisition method of the steel bridge fatigue sensitive area of the first aspect of the present invention.
According to the method and the device for acquiring the synthetic fatigue stress of the fatigue-sensitive area of the steel bridge, provided by the embodiment of the invention, the synthetic fatigue stress of the fatigue-sensitive area of the bridge is acquired according to the residual tensile strain, the strain increment sequence and the stress of the fatigue-sensitive area of the bridge before stress synthesis, the method and the device can adapt to various modes of stress generation of external loads, and are beneficial to effective synthesis according to a material constitutive model of steel used by the steel bridge and the residual tensile strain, so that the method and the device have a wide application range.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and those skilled in the art can also obtain other drawings according to the drawings without creative efforts.
FIG. 1 is a flow chart of a method for obtaining a composite fatigue stress of a fatigue sensitive area of a steel bridge according to an embodiment of the present invention;
FIG. 2 is data of external load strain time course of a fatigue sensitive area of a welded steel box girder bridge on a road according to the present invention;
FIG. 3 is a diagram of new strain time-course data comprising peak and valley point data of the external load strain according to an embodiment of the present invention;
FIG. 4 is a schematic diagram of a sequence of strain increments according to an embodiment of the present invention;
FIG. 5 shows a strain delta Δ ε in an embodiment of the present invention 1 The loading process of (2);
FIG. 6 is a graph of strain delta Δ ε in an embodiment of the present invention 2 The loading process of (2);
FIG. 7 is a graph of strain delta Δ ε in an embodiment of the present invention 3 The unloading process of (2);
FIG. 8 is a graph of strain delta Δ ε in an embodiment of the present invention 4 The loading process of (2);
FIG. 9 shows a strain delta Δ ε in an embodiment of the present invention 5 The unloading process of (1);
FIG. 10 is a structural diagram of a device for obtaining a composite fatigue stress of a fatigue sensitive area of a steel bridge according to an embodiment of the present invention;
fig. 11 is a schematic physical structure diagram of an electronic device according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all embodiments of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Fig. 1 is a flowchart of a synthetic fatigue stress obtaining method for a steel bridge fatigue sensitive area according to an embodiment of the present invention, and as shown in fig. 1, the embodiment of the present invention provides a synthetic fatigue stress obtaining method for a steel bridge fatigue sensitive area, including:
101. and acquiring the residual tensile strain of the fatigue sensitive area of the bridge.
Residual stresses in the structural members of a steel bridge have a non-negligible effect on its fatigue properties, and the residual tensile stresses in a steel bridge approach or even exceed the yield strength of the steel, so that certain regions of the steel bridge enter a complex elasto-plastic state before being subjected to external loads. For example, the method of finite element thermal-structural coupling analysis is adopted to simulate the cutting or welding process of steel plates used for the steel bridge, and the residual tensile strain epsilon of the fatigue sensitive area of the steel bridge is calculated r 。
102. And acquiring a strain time-course data sequence of the steel bridge fatigue sensitive area under the action of an external load.
Strain sensors are arranged in the fatigue sensitive area of the steel bridge for real-time monitoring, or a finite element model calculation mode is adopted, so that strain time-course data epsilon of the fatigue sensitive area of the steel bridge under the action of external load can be obtained, and the strain time-course data epsilon is a time-related sequence.
103. Calculating a strain increment sequence according to the strain time-course data sequence;
for the strain time course data sequence, its delta sequence Δ ε = [ ε' 1 ,Δε 2 ,Δε 3 ,…,Δε m ]The specific method can be as follows: let Δ ε 1 ＝ε′ 1 ，Δε k ＝ε′ k -ε′ k-1 (k =2,3, \8230;, m), giving the sequence of incremental strains Δ ∈ = [ ε' 1 ,Δε 2 ,Δε 3 ,…,Δε m ]Number of the strain increment sequenceAccording to a length of m, if Δ ε k When the value is more than or equal to 0, the steel bridge fatigue sensitive area is subjected to a loading process under the action of external load, and if the value is delta epsilon k And when the value is less than 0, the steel bridge fatigue sensitive area is subjected to an unloading process under the action of an external load.
104. And determining the stress of the bridge fatigue sensitive area before stress synthesis according to the residual tensile strain.
Namely determining the stress sigma of the bridge fatigue sensitive area caused by the residual tensile strain c And after the stress of the fatigue sensitive area of the bridge is obtained, synthesizing according to the action of external load.
105. And obtaining the synthesized fatigue stress of the bridge fatigue sensitive area according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis.
According to the residual tensile strain epsilon of the fatigue sensitive area of the steel bridge r Strain increment sequence delta epsilon = [ epsilon' 1 ,Δε 2 ,Δε 3 ,…,Δε m ]Stress sigma of bridge fatigue sensitive area before stress synthesis c And calculating to obtain the synthetic fatigue stress and the corresponding synthetic fatigue strain of the bridge fatigue sensitive area. For example, based on the loading and unloading rules of the steel material constitutive model, the synthetic fatigue stress and the corresponding synthetic fatigue strain of the bridge fatigue sensitive area are obtained.
According to the method for obtaining the synthetic fatigue stress of the fatigue-sensitive area of the steel bridge, provided by the embodiment of the invention, the synthetic fatigue stress of the fatigue-sensitive area of the bridge is obtained according to the residual tensile strain, the strain increment sequence and the stress of the fatigue-sensitive area of the bridge before stress synthesis, the method can adapt to various modes of stress generation of external loads, and is beneficial to effective synthesis according to a material constitutive model of steel used for the steel bridge and the residual tensile strain, so that the method has a wider application range.
Based on the content of the above embodiment, as an optional embodiment, the acquiring a strain time course data sequence of the fatigue sensitive area of the steel bridge under the action of the external load includes: and arranging a strain sensor in the fatigue sensitive area of the steel bridge for real-time monitoring, or calculating and acquiring strain time-course data of the fatigue sensitive area of the steel bridge under the action of an external load by adopting a finite element model. Real-time monitoring can be realized by arranging the strain sensors, and the finite element model is more efficient in calculation.
Based on the content of the above embodiment, as an optional embodiment, after acquiring the strain time-course data sequence of the fatigue-sensitive area of the steel bridge under the action of the external load, the method further includes: extracting wave crests and wave troughs in the strain time course data to obtain a new strain time course data sequence; correspondingly, according to the strain time course data sequence, calculating a strain increment sequence, specifically: and calculating a strain increment sequence according to the new strain time course data sequence.
The original data length of the strain time course data epsilon is l, and wave crests and wave troughs in the strain time course data epsilon are extracted to obtain new strain time course data epsilon'.
The specific method can be as follows: comparing the strain time course data epsilon with 3 adjacent data points epsilon according to the sequence of the strain time course data epsilon i-1 、ε i And ε i+1 (i =2,3, \8230;, l-1) if ε i-1 <ε i And epsilon i+1 <ε i Then e is i I.e. 1 peak point data, if epsilon i-1 >ε i And epsilon i+1 >ε i Then e is i I.e. 1 valley point data, if epsilon i-1 <ε i <ε i+1 Then e is re-compared according to the method described above i 、ε i+1 And epsilon i+2 Determining the next peak point or valley point data until all peak point and valley point data are extracted from the strain time course data epsilon, and arranging all peak point and valley point data according to the time sequence to form new strain time course data epsilon '= epsilon' 1 ,ε′ 2 ,…,ε′ m The data length of the strain time course data is m, wherein ∈' 1 ＝ε 1 ，ε′ m ＝ε l 。
According to the method for obtaining the synthetic fatigue stress of the steel bridge fatigue sensitive area, provided by the embodiment of the invention, the new strain time course data sequence is obtained by extracting the wave crest and the wave trough point in the strain time course data, the strain increment sequence is calculated according to the new strain time course data sequence, and only the extracted wave crest and wave trough data are required to be synthesized with the residual tensile strain of the steel bridge fatigue sensitive area, so that the calculation workload is reduced, and the fatigue stress synthesis efficiency is improved.
Based on the content of the foregoing embodiment, as an alternative embodiment, the calculating a strain increment sequence according to the strain time course data sequence includes: and (3) strain time-course data sequence, wherein the first data is unchanged, and each subsequent data is replaced by a result obtained by subtracting the previous data. If epsilon '= epsilon' 1 ,ε′ 2 ,…,ε′ m To obtain delta epsilon = [ epsilon' 1 ,Δε 2 ,Δε 3 ,…,Δε m ]. See in particular the examples described above.
Based on the content of the foregoing embodiment, as an alternative embodiment, determining the stress of the bridge fatigue sensitive area before stress synthesis according to the residual tensile strain includes: and according to the residual tensile strain, determining the stress of the bridge fatigue sensitive area before stress synthesis by using a bilinear isotropic hardening model as a material constitutive model of steel for the steel bridge.
In the embodiment of the invention, a bilinear isotropic hardening model is adopted as a material constitutive model of steel used for a steel bridge, and parameters of the constitutive model comprise an elastic modulus E and a deformation modulus E 1 Yield strength f y Yield strain ε y ＝f y E, residual tensile strain epsilon calculated in combination with 101 r Determining the stress sigma of the fatigue-sensitive zone of the steel bridge before synthesis c 。
The specific method comprises the following steps: if epsilon r ＜ε y The fatigue-sensitive zone is considered to be in an elastic state when the fatigue-sensitive zone is stressed by a stress σ c ＝ε r E, if ε r ≥ε y The fatigue sensitive region is considered to enter an elastoplastic state when the fatigue sensitive region stress σ c ＝f y +(ε r -ε y )·E 1 。
According to the synthetic fatigue stress obtaining method for the fatigue sensitive area of the steel bridge, provided by the embodiment of the invention, the stress of the fatigue sensitive area of the bridge before stress synthesis can be quickly and accurately analyzed through the bilinear isotropic hardening model.
Based on the content of the foregoing embodiment, as an alternative embodiment, obtaining the synthetic fatigue stress and the corresponding strain of the bridge fatigue sensitive area according to the residual tensile strain, the sequence of strain increments and the stress of the bridge fatigue sensitive area before stress synthesis includes: and obtaining the synthetic fatigue stress and the corresponding strain of the bridge fatigue sensitive area based on the loading and unloading rules of the steel material constitutive model according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis.
In the embodiment of the invention, the synthetic fatigue stress and the corresponding strain of the fatigue sensitive area of the bridge are obtained based on the loading and unloading rules of the steel material constitutive model, which can be seen in the following embodiments.
According to the method for obtaining the synthetic fatigue stress of the steel bridge fatigue sensitive area, provided by the embodiment of the invention, the material constitutive model of the steel is adopted to synthesize the strain data generated by the residual tensile strain and the external load, and the obtained synthetic fatigue stress can truly reflect the fatigue stress state of the steel bridge fatigue sensitive area by considering the elastoplasticity physical mechanical property of the steel.
Based on the content of the above embodiment, as an optional embodiment, obtaining the synthetic fatigue stress of the bridge fatigue sensitive area based on the loading and unloading rules of the steel material constitutive model according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis, includes:
σ 1 ＝ε c 、ε″ 1 ＝ε r and k =1, repeating the following judgment and calculation processes until k is equal to m, and obtaining the composite fatigue stress of the bridge fatigue sensitive area:
if epsilon k ＝E·ε″ k When the strain increases by Δ ε k ≤(ε y -ε″ k ) When it is used, then epsilon k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ k +Δε k E, increase in strain Δ ε k ＞(ε y -ε″ k ) When, epsilon ″ k+1 ＝ε″ k +Δε k ，σ k+1 ＝f y +(ε″ k+1 -ε y )·E 1 ；
If σ k ＝f y +(ε″ k -ε y )·E 1 When the strain increases by Δ ε k If less than 0, epsilon k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ k +Δε k E, as strain increases Δ ε k When not less than 0, epsilon ″ k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ k +Δε k ·E 1 ；
If σ k ＜E·ε″ k And sigma k ＜f y +(ε″ k -ε y )·E 1 Let us order
When strain increases by Δ ε k ≤(ε A -ε″ k ) When, epsilon k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ k +Δε k E, as strain increases Δ ε k ＞(ε A -ε″ k ) When, epsilon ″ k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ A +(ε″ k+1 -ε A )·E 1 ；
Wherein the parameters of the bilinear isotropic hardening model comprise an elastic modulus E and a deformation modulus E 1 Yield strength f y Yield strain epsilon y ＝f y /E；ε r Is the residual tensile strain, σ c The stress of the bridge fatigue sensitive area before stress synthesis; if epsilon r ＜ε y ，σ c ＝ε r E; if epsilon r ≥ε y ，σ c ＝f y +(ε r -ε y )×E 1 ；σ＝[σ c ,σ 2 ,…,σ m+1 ]，ε″＝[ε r ,ε″ 2 ,…,ε″ m+1 ]Are respectively asSynthesizing fatigue stress and fatigue strain; delta epsilon = [ epsilon' 1 ,Δε 2 ,Δε 3 ,…,Δε m ]For the strain increment sequence, k =1, 2 \8230m, and m represents the sequence number.
Synthetic fatigue stress σ 1 st data σ 1 Equal to 104 pre-composite steel bridge fatigue sensitive area stress sigma c Strain ε "1 st data ε 1 Equal to the residual tensile strain epsilon of the fatigue sensitive area of a steel bridge in 101 r Then σ = [ σ ] c ,σ 2 ,…,σ m+1 ]，ε″＝[ε r ,ε″ 2 ,…,ε″ m+1 ]。
The specific method comprises the following steps: the data length of the strain increment sequence delta epsilon is m, so that the synthetic fatigue stress sigma can be obtained only through m times of calculation, and the synthetic fatigue stress sigma of the fatigue sensitive area of the steel bridge is calculated by k-1 (k =2, \8230; m) times k Strain of corresponding steel bridge fatigue sensitive area is epsilon k According to the strain increase Deltaepsilon k Calculating the next resultant fatigue stress as σ k+1 And ε k+1 The above 3 cases are calculated.
Repeating the above judging and calculating processes until k equals to m, and stopping calculating to obtain the final synthesized fatigue stress sigma m So as to obtain the composite fatigue stress sigma = [ sigma ] of the steel bridge fatigue sensitive area c ,σ 2 ,…,σ m+1 ]。
According to the method for acquiring the synthetic fatigue stress of the steel bridge fatigue sensitive area, provided by the embodiment of the invention, the calculation process of the fatigue stress synthetic method is gradual, the programming is convenient, a large amount of strain data generated by an external load can be rapidly analyzed and processed, and the method has strong practicability.
Based on the above embodiments, in the embodiments of the present invention, the material constitutive model of the steel used for the steel bridge may be utilized to superimpose the residual tensile strain generated by cutting or welding the steel and the strain data generated by the external load, and on this basis, the loading or unloading of the fatigue-sensitive area of the steel bridge is determined according to the strain increment sequence generated by the external load, and further, the synthetic fatigue stress of the fatigue-sensitive area of the steel bridge is obtained according to the loading and unloading rules of the material constitutive model of the steel. The method for synthesizing fatigue stress of the fatigue sensitive area of the steel bridge according to the embodiment of the invention is described as a specific example.
FIG. 2 is the external load strain time course data of a fatigue sensitive area of a welded steel box girder bridge on a road according to the present invention, and a finite element thermal-structure coupling analysis method is adopted to calculate the residual tensile strain epsilon of the fatigue sensitive area on the welded steel box girder bridge on the road as an example r Is 0.002. Strain time-course data epsilon of the fatigue sensitive area under the action of an external load are collected by adopting a strain sensor, the data are shown in figure 2, the time interval for collecting the strain data by the strain sensor is 0.1 second, and the time length of the data in the figure is 1 second, so that the data length l in the figure is equal to 11.
Next, peak and valley point data of the strain time course data in fig. 2 are extracted, fig. 3 is a schematic diagram of new strain time course data composed of external load strain peak and valley point data according to an embodiment of the present invention, and fig. 3 shows new strain time course data epsilon' composed of peak and valley point data:
ε′＝[c,0.000585,-0.000146,0.000341,0]
the data length m of the strain time course data epsilon' is 5, and compared with the data length m of fig. 2, the data length is reduced by more than half. Fig. 3 contains 3 valley points occurring at 0, 0.6 and 1 second, respectively, with strain values of 0, -0.000146 and 0, respectively, and fig. 3 contains 2 peak points occurring at 0.3 and 0.9 seconds, respectively, with a strain value ratio of 0.000585 and 0.000341. It can be seen that through the above calculation, data points between adjacent peaks and valleys in fig. 2 are removed, because the strain changes under external load are in the same direction between adjacent peaks and valleys, and through these non-peak or valley data, the data length is reduced and the calculation efficiency is improved.
Calculating a strain increment sequence delta epsilon according to the new strain time course data epsilon', wherein the data length m of the sequence is 5, and the calculation result of the strain increment sequence delta epsilon is
Δε＝[0,0000585,-0.000732,0.000488,-0.00034]
Delta epsilon in delta-sequence of strains 1 =0, indicating that the strain of the fatigue sensitive area does not change and the corresponding stress state does not change，Δε 2 、Δε 4 Greater than 0 indicates that the strain in the fatigue sensitive region has increased relative to the previous moment, and has undergone a loading process, Δ ε 3 、Δε 5 Less than 0, indicating that the strain in the fatigue sensitive region has decreased relative to the previous time, and has undergone an unloading process, fig. 4 is a schematic diagram of an incremental strain sequence according to an embodiment of the present invention, which is shown in fig. 4.
The bilinear isotropic hardening model is used as a material constitutive model of steel used for the steel bridge, and parameters in the material constitutive model can be determined according to the type of the steel used for welding the steel box girder bridge: the elastic modulus E is 205000MPa, the deformation modulus E 1 2050MPa, yield strength f y 345MPa, yield strain
Residual tensile strain epsilon r ＝0.002≥ε y The fatigue sensitive region enters an elastoplastic state when the fatigue sensitive region is stressed by
σ c ＝σ c ＝f y +(ε r -ε y )×E 1 ＝345+(0.002-0.00168)×2050
＝345.65MPa
Next, the fatigue stress sigma and the corresponding strain epsilon' of the fatigue sensitive area are synthesized by adopting the loading and unloading rules of the steel material constitutive model, and the synthesized fatigue stress sigma 1 st data sigma 1 ＝σ c Strain epsilon '1 st data epsilon' =345.65MPa 1 ＝ε r =0.002. Since the data length m of the strain increment sequence delta epsilon is 5, 5 calculation processes are needed to obtain the synthesized fatigue stress sigma. The specific calculation process is as follows:
(1) Due to delta epsilon in the strain delta sequence 1 =0, thus σ 2 ＝σ 1 ＝345.65MPa，ε″ 2 ＝ε″ 1 ＝0.002；
(2) k =2, since σ 2 ＝f f +(ε″ 2 -ε y )·E 1 The condition of case 2 is satisfied, and the strain increment Δ ∈ is increased 2 ＝0.000585Greater than 0, in this case, the strain loading process, then
ε″ 3 ＝ε″ 2 +Δε 2 ＝0.002+0.000585＝0.002585
σ 3 ＝σ 2 +Δε 2 ·E 1 ＝345.65+0.000585×2050＝346.85MPa
(3) k =3, due to σ 3 ＝f y +(ε″ 3 -ε y )·E 1 The condition of case 2 is satisfied, and the strain increment Δ ∈ is increased 3 =0.000732 < 0, in this case a strain relief process, then
ε″ 4 ＝ε″ 3 +Δε 3 ＝0.002585-0.000732＝0.00185
σ 4 ＝σ 3 +Δε 3 ·E＝346.85+(-0.000732)×205000＝196.79MPa
(4) k =4, since σ 4 ＜E·ε″ 4 =205000 · 0.00185=379.25mpa and σ 4 ＜f y +(ε″ 4 -ε y )·E 1 =345+ (0.00185-0.00168) · 2050=345.35mpa, satisfy the condition of case 3, calculate epsilon first A And σ A ：
At this time, the strain increment is delta epsilon 4 ＝0.000488＜(ε A -ε″ 4 ) =0.002585-0.00185=0.000732, then
ε″ 5 ＝ε″ 4 +Δε 4 ＝0.00185+0.000488＝0.002338
σ 5 ＝σ 4 +Δε 4 ·E＝196.79+0.000488×205000＝296.83MPa
(5) k =5, since σ 5 ＜E·ε″ 5 =205000 · 0.002338=479.29mpa and σ 5 ＜f y +(ε″ 5 -ε y )·E 1 =345+ (0.002338-0.00168) · 2050=346.35mpa, and when the condition of case 3 is satisfied, ∈ is first calculated A And σ A
At this time, the strain increment delta epsilon 5 ＝-0.00034＜(ε A -ε″ 5 ) =0.002585-0.002338=0.000247, then
ε″ 6 ＝ε″ 5 +Δε 5 ＝0.002338-0.00034＝0.002
σ 6 ＝σ 5 +Δε 5 ·E＝296.83-0.00034×205000＝227.13MPa
Through the calculation process, the composite fatigue stress sigma = [345.65, 346.85,196.79,296.83,227.13] of the steel bridge fatigue sensitive area is reported to be MPa.
The above calculation process is further illustrated in fig. 5 to 9, which first show the material constitutive model of the bilinear isotropic hardening model with the abscissa representing strain and the ordinate representing stress, defining tensile strain and tensile stress as positive, compressive strain and tensile strain as negative, as a result of the residual tensile strain epsilon due to cutting and welding of the actual steel bridge r The strain time course data generated by the external load is far larger, so that the synthetic process of the fatigue stress is in the first quadrant as shown in the figure (the strain and the stress are both positive values). The model is composed of two straight lines, wherein the slope of the first inclined straight line passing through the coordinate origin is elastic modulus E, and the slope of the second inclined straight line is deformation modulus E 1 . Note that the strain increase Δ ε 1 =0, and thus two points (ε ″ ") in FIG. 5 1 ,σ 1 ) And (ε ″) 2 ,σ 2 ) Are coincident.
Fig. 10 is a structural diagram of a synthetic fatigue stress obtaining apparatus of a steel bridge fatigue sensitive area according to an embodiment of the present invention, and as shown in fig. 10, the synthetic fatigue stress obtaining apparatus of the steel bridge fatigue sensitive area includes: the strain acquisition module 1001, the strain time course data acquisition module 1002, the strain increment sequence calculation module 1003, the fatigue sensitive area stress acquisition module 1004 and the synthetic fatigue stress calculation module 1005. The residual tensile strain acquisition module 1001 is configured to acquire a residual tensile strain of a bridge fatigue sensitive area; the strain time course data acquisition module 1002 is used for acquiring a strain time course data sequence of a steel bridge fatigue sensitive area under the action of an external load to obtain a strain time course data sequence; the strain increment sequence calculating module 1003 is used for calculating a strain increment sequence according to the strain time-course data sequence; the fatigue sensitive area stress acquisition module 1004 is used for determining the stress of the bridge fatigue sensitive area before stress synthesis according to the residual tensile strain; the synthesized fatigue stress calculating module 1005 is configured to obtain a synthesized fatigue stress of the bridge fatigue sensitive area according to the residual tensile strain, the strain increment sequence, and the stress of the bridge fatigue sensitive area before stress synthesis.
The device embodiment provided in the embodiments of the present invention is for implementing the above method embodiments, and for details of the process and the details, reference is made to the above method embodiments, which are not described herein again.
The device for acquiring the synthetic fatigue stress of the fatigue-sensitive area of the steel bridge provided by the embodiment of the invention can acquire the synthetic fatigue stress of the fatigue-sensitive area of the bridge according to the residual tensile strain, the strain increment sequence and the stress of the fatigue-sensitive area of the bridge before stress synthesis, can adapt to various modes of stress generation by external loads, is favorable for effective synthesis according to a material constitutive model of steel used by the steel bridge and the residual tensile strain, and has a wider application range.
Fig. 11 is a schematic entity structure diagram of an electronic device according to an embodiment of the present invention, and as shown in fig. 11, the electronic device may include: a processor (processor) 1101, a communication Interface (Communications Interface) 1102, a memory (memory) 1103 and a bus 1104, wherein the processor 1101, the communication Interface 1102 and the memory 1103 are configured to communicate with each other via the bus 1104. The communication interface 1102 may be used for information transfer of an electronic device. The processor 1101 may invoke logic instructions in the memory 1103 to perform a method comprising: acquiring residual tensile strain of a bridge fatigue sensitive area; acquiring a strain time-course data sequence of a steel bridge fatigue sensitive area under the action of an external load; calculating a strain increment sequence according to the strain time-course data sequence; determining the stress of the bridge fatigue sensitive area before stress synthesis according to the residual tensile strain; and obtaining the synthesized fatigue stress of the bridge fatigue sensitive area according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis.
In addition, the logic instructions in the memory 1103 can be implemented in the form of software functional units and stored in a computer readable storage medium when the logic instructions are sold or used as independent products. Based on such understanding, the technical solution of the present invention may be embodied in the form of a software product, which is stored in a storage medium and includes instructions for causing a computer device (which may be a personal computer, a server, or a network device) to execute all or part of the steps of the above-described method embodiments of the present invention. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk or an optical disk, and other various media capable of storing program codes.
In another aspect, an embodiment of the present invention further provides a non-transitory computer-readable storage medium, on which a computer program is stored, where the computer program is implemented to perform the transmission method provided in the foregoing embodiments when executed by a processor, for example, the method includes: acquiring residual tensile strain of a bridge fatigue sensitive area; acquiring a strain time-course data sequence of a steel bridge fatigue sensitive area under the action of an external load; calculating a strain increment sequence according to the strain time-course data sequence; determining the stress of the bridge fatigue sensitive area before stress synthesis according to the residual tensile strain; and obtaining the synthesized fatigue stress of the bridge fatigue sensitive area according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis.
The above-described embodiments of the apparatus are merely illustrative, and the units described as separate parts may or may not be physically separate, and the parts displayed as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of network units. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of this embodiment. One of ordinary skill in the art can understand and implement it without inventive effort.
Through the above description of the embodiments, those skilled in the art will clearly understand that each embodiment may be implemented by software plus a necessary general hardware platform, and may also be implemented by hardware. With this understanding in mind, the above-described technical solutions may be embodied in the form of a software product, which can be stored in a computer-readable storage medium, such as ROM/RAM, magnetic disk, optical disk, etc., and includes instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the methods of the various embodiments or some parts of the embodiments.
Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.
Claims (7)
1. A synthetic fatigue stress acquisition method for a steel bridge fatigue sensitive area is characterized by comprising the following steps:
acquiring residual tensile strain of a bridge fatigue sensitive area;
acquiring a strain time-course data sequence of a steel bridge fatigue sensitive area under the action of an external load;
calculating a strain increment sequence according to the strain time-course data sequence;
determining the stress of the bridge fatigue sensitive area before stress synthesis according to the residual tensile strain;
obtaining the synthetic fatigue stress of the bridge fatigue sensitive area according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis;
determining the stress of the bridge fatigue sensitive area before stress synthesis according to the residual tensile strain, wherein the method comprises the following steps: according to the residual tensile strain, a bilinear isotropic hardening model is adopted as a material constitutive model of steel used for the steel bridge, and the stress of the bridge fatigue sensitive area before stress synthesis is determined;
obtaining the synthetic fatigue stress of the bridge fatigue sensitive area according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis, wherein the synthetic fatigue stress of the bridge fatigue sensitive area comprises the following steps: according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis, obtaining the synthesized fatigue stress of the bridge fatigue sensitive area based on the loading and unloading rules of a steel material constitutive model;
according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis, the synthetic fatigue stress of the bridge fatigue sensitive area is obtained based on the loading and unloading rules of the steel material constitutive model, and the method comprises the following steps:
σ 1 ＝σ c 、ε″ 1 ＝ε r and k =1, repeating the following judgment and calculation processes until k is equal to m, and obtaining the composite fatigue stress of the bridge fatigue sensitive area:
if σ k ＝E·ε″ k When the strain increases by Δ ε k ≤(ε y -ε″ k ) When it is in use, then epsilon ″ k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ k +Δε k E, increase in strain Δ ε k ＞(ε y -ε″ k ) When, epsilon k+1 ＝ε″ k +Δε k ，σ k+1 ＝f y +(ε″ k+11 -ε y )·E 1 ；
If σ k ＝f y +(ε″ k -ε y )·E 1 When the strain increases by Δ ε k If less than 0, epsilon k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ k +Δε k E, increase in strain Δ ε k When not less than 0, epsilon ″ k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ k +Δε k ·E 1 ；
If σ k ＜E·ε″ k And sigma k ＜f y +(ε″ k -ε y )·E 1 Let us order
When strain increases by Δ ε k ≤(ε A -ε″ k ) When, epsilon ″ k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ k +Δε k E, increase in strain Δ ε k ＞(ε A -ε″ k ) When, epsilon ″ k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ A +(ε″ k+1 -ε A )·E 1 ；
Wherein the parameters of the bilinear isotropic hardening model comprise an elastic modulus E and a deformation modulus E 1 Yield strength f y Yield strain epsilon y ＝f y /E；ε r Is the residual tensile strain, σ c The stress of the bridge fatigue sensitive area before stress synthesis; if epsilon r ＜ε y ，σ c ＝ε r E; if epsilon r ≥v y ，σ c ＝f y +(ε r -ε y )×E 1 ；σ＝[σ c ，σ 2 ，...，σ m+1 ]，ε″＝[ε r ，ε″ 2 ，...，ε″ m+1 ]Respectively synthetic fatigue stress and synthetic fatigue strain; delta epsilon = [ epsilon' 1 ，Δε 2 ，Δε 3 ，...，Δε m ]The strain increment sequences are k =1, 2 \8230m, and the numbers are indicated.
2. The method for acquiring the synthesized fatigue stress of the fatigue-sensitive area of the steel bridge according to claim 1, wherein the acquiring the strain time-course data sequence of the fatigue-sensitive area of the steel bridge under the action of the external load comprises:
and arranging a strain sensor in the fatigue sensitive area of the steel bridge for real-time monitoring, or calculating by adopting a finite element model to obtain strain time-course data of the fatigue sensitive area of the steel bridge under the action of an external load.
3. The method for acquiring the synthetic fatigue stress of the steel bridge fatigue sensitive area according to claim 1, wherein after acquiring the strain time course data sequence of the steel bridge fatigue sensitive area under the action of external load, the method further comprises:
extracting wave crests and wave troughs in the strain time course data to obtain a new strain time course data sequence;
correspondingly, the strain increment sequence is calculated according to the strain time-course data sequence, and specifically comprises the following steps:
and calculating a strain increment sequence according to the new strain time course data sequence.
4. The method for acquiring the synthesized fatigue stress of the fatigue-sensitive area of the steel bridge according to claim 1, wherein the step of calculating the strain increment sequence according to the strain time-course data sequence comprises the following steps:
and (3) strain time-course data sequence, wherein the first data is unchanged, and each subsequent data is replaced by a result obtained by subtracting the previous data.
5. A composite fatigue stress harvesting device for a steel bridge fatigue sensitive area, comprising:
the residual tensile strain acquisition module is used for acquiring the residual tensile strain of the bridge fatigue sensitive area;
the strain time-course data acquisition module is used for acquiring a strain time-course data sequence of the steel bridge fatigue sensitive area under the action of an external load to obtain a strain time-course data sequence;
the strain increment sequence calculating module is used for calculating a strain increment sequence according to the strain time-course data sequence;
the fatigue sensitive area stress acquisition module is used for determining the stress of the bridge fatigue sensitive area before stress synthesis according to the residual tensile strain;
the synthetic fatigue stress calculation module is used for obtaining the synthetic fatigue stress of the bridge fatigue sensitive area according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis;
determining the stress of the bridge fatigue sensitive area before stress synthesis according to the residual tensile strain, wherein the step comprises the following steps: according to the residual tensile strain, a bilinear isotropic hardening model is adopted as a material constitutive model of steel used for the steel bridge, and the stress of the bridge fatigue sensitive area before stress synthesis is determined;
obtaining the synthetic fatigue stress of the bridge fatigue sensitive area according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis, wherein the synthetic fatigue stress of the bridge fatigue sensitive area comprises the following steps: according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis, obtaining the synthesized fatigue stress of the bridge fatigue sensitive area based on the loading and unloading rules of the steel material constitutive model;
obtaining the synthetic fatigue stress of the bridge fatigue sensitive area based on the loading and unloading rules of the steel material constitutive model according to the residual tensile strain, the strain increment sequence and the stress of the bridge fatigue sensitive area before stress synthesis, wherein the synthetic fatigue stress comprises the following steps:
σ 1 ＝σ c 、ε″ 1 ＝ε r and k =1, repeating the following judgment and calculation processes until k is equal to m, and obtaining the composite fatigue stress of the bridge fatigue sensitive area:
if σ k ＝E·ε″ k When the strain increases by Δ ε k ≤(ε y -ε″ k ) When it is in use, then epsilon ″ k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ k +Δε k E, increase in strain Δ ε k ＞(ε y -ε″ k ) When, epsilon ″ k+1 ＝ε″ k +Δε k ，σ k+1 ＝f y +(ε″ k+1 -ε y )·E 1 ；
If σ is k ＝f y +(ε″ k -ε y )·E 1 When the strain increases by Δ ε k If < 0, ε k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ k +Δε k E, increase in strain Δ ε k When not less than 0, epsilon ″ k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ k +Δε k ·E 1 ；
If σ k ＜E·ε″ k And sigma k ＜f y +(ε″ k -ε y )·E 1 Let us order
When strain increases by Δ ε k ≤(ε A -ε″ k ) When, epsilon ″ k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ k +Δε k E, increase in strain Δ ε k ＞(ε A -ε″ k ) When, epsilon ″ k+1 ＝ε″ k +Δε k ，σ k+1 ＝σ A +(ε″ k+1 -ε A )·E 1 ；
Wherein the parameters of the bilinear isotropic hardening model comprise an elastic modulus E and a deformation modulus E 1 Yield strength f y Yield strain epsilon y ＝f y /E；ε r Is the residual tensile strain, σ c The stress of the bridge fatigue sensitive area before stress synthesis; if epsilon r ＜ε y ，σ c ＝ε r E; if epsilon r ≥ε y ，σ c ＝f y +(ε r -ε y )×E 1 ；σ＝[σ c ，σ 2 ，...，σ m+1 ]，ε″＝[ε r ，ε″ 2 ，...，ε″ m+1 ]Respectively synthetic fatigue stress and synthetic fatigue strain; delta epsilon = [ epsilon' 1 ，Δε 2 ，Δε 3 ，...，Δε m ]For the strain increment sequence, k =1, 2 \8230m, and m represents the sequence number.
6. An electronic device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, characterized in that the processor, when executing the program, carries out the steps of the method of obtaining a composite fatigue stress of a steel bridge fatigue sensitive area according to any of claims 1 to 4.
7. A non-transitory computer readable storage medium having stored thereon a computer program, wherein the computer program when executed by a processor implements the steps of the method for obtaining a composite fatigue stress of a steel bridge fatigue sensitive area according to any of claims 1 to 4.
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