Data processing apparatus and method, evaluation system and method, storage medium, and program product
By calculating the position-displacement-stress mapping relationship of the stiffening girder of a suspension bridge under lateral wind load, the location points of maximum stress and displacement are determined. Combined with stress limit values, the lateral stiffness of the suspension bridge is evaluated, which solves the problem that existing standards cannot accurately reflect the lateral stiffness of bridges and ensures the safety and comfort of bridges.
Patent Information
- Authority / Receiving Office
- WO · WO
- Patent Type
- Applications
- Current Assignee / Owner
- Filing Date
- 2025-09-09
- Publication Date
- 2026-04-02
AI Technical Summary
Existing bridge design specifications cannot accurately reflect the lateral stiffness limit of suspension bridges, resulting in some bridges operating well even though they exceed the limit, failing to guarantee driving safety and comfort.
By determining the position-displacement mapping relationship and displacement-stress mapping relationship of the stiffening girder of a suspension bridge under lateral wind load, calculating the location of maximum stress and the location of maximum displacement, and combining the stress limit and the lateral deflection-to-span ratio limit, the lateral stiffness of the suspension bridge can be evaluated.
It provides a more accurate method for evaluating lateral stiffness, ensuring that bridges can meet the requirements for driving safety and comfort under lateral wind loads.
Smart Images

Figure CN2025120146_02042026_PF_FP_ABST
Abstract
Description
Data processing apparatus, evaluation system, method, storage medium and program product TECHNICAL FIELD
[0001] The present disclosure relates to the technical field of computer, in particular to a data processing apparatus, a bridge stiffness evaluation system, a data processing method, a bridge stiffness evaluation method, a storage medium and a computer program product. BACKGROUND
[0002] Suspension bridge is a flexible structure system with cable as the main load-bearing component. With the increase of bridge span, the bridge stiffness and damping decrease, and the bridge is more sensitive to dynamic action. The structural stiffness is the ability of the structure to resist deformation, and reasonable stiffness index and limit value are the premise of structural safety, driving safety and comfort.
[0003] The bridge design specifications at home and abroad have made corresponding provisions for bridge stiffness index and limit value, but since the highway bridge with passing vehicles has relatively low requirements for driving safety and comfort, there are few provisions for lateral stiffness. At present, the value of suspension bridge lateral stiffness is mainly limited by the limit value given in the relevant design specifications. However, the limit value given in the design specification for describing whether the lateral stiffness meets the standard is difficult to accurately reflect the true lateral stiffness limit of the bridge. For example, the value reflecting the lateral stiffness of some bridges is greater than the corresponding limit value given in the design specification, but these bridges are still in good operation. SUMMARY
[0004] In order to solve at least one of the above technical problems, the present disclosure provides a data processing apparatus, a bridge stiffness evaluation system, a data processing method, a bridge stiffness evaluation method, a storage medium and a computer program product,
[0005] The first aspect of the present disclosure provides a data processing apparatus, comprising: a processor and a memory, the memory storing a computer program, when the computer program is executed by the processor, the processor executes the following processes: determining the position-displacement mapping relationship between a plurality of positions of the stiffening beam of the suspension bridge and the lateral displacement under the action of lateral wind load, the plurality of positions are distributed along the length direction of the stiffening beam; determining the position-stress mapping relationship between the plurality of positions and the stress through the position-displacement mapping relationship and the displacement-stress mapping relationship; determining the maximum stress position point in the plurality of positions according to the position-stress mapping relationship, the stress value at the maximum stress position point is the maximum; and determining the lateral deflection ratio limit value of the stiffening beam through the operation relationship between the maximum stress position point and the corresponding maximum stress value, the operation relationship between the maximum displacement position point and the corresponding maximum lateral displacement, and the stress limit value of the stiffening beam, the lateral displacement at the maximum displacement position point is the maximum.
[0006] According to some embodiments of the present disclosure, determining a position-displacement mapping relationship between a plurality of positions of a stiffening girder of a suspension bridge and lateral displacements under a transverse wind load comprises: determining a maximum horizontal component force of a plurality of horizontal component forces of a main cable of the suspension bridge at the plurality of positions of the stiffening girder through hangers under the transverse wind load; and determining the position-displacement mapping relationship between the plurality of positions of the stiffening girder and the lateral displacements based on the maximum horizontal component force.
[0007] According to some embodiments of the present disclosure, the maximum horizontal component force is a horizontal component force of the main cable of the suspension bridge at a midspan position of the stiffening girder.
[0008] According to some embodiments of the present disclosure, the maximum horizontal component force F y is: wherein F y1 is a transverse force of the transverse wind load acting on the midspan position of the stiffening girder, F y2 is a transverse force of the transverse wind load acting on the main cable corresponding to the midspan position, l is a main span span of the suspension bridge, EI y is a transverse bending stiffness of the stiffening girder, H is a horizontal force of the dead load acting on the main cable, h t is a distance between the main cable and the stiffening girder at a midspan of the suspension bridge, and p is a dead load intensity of the stiffening girder.
[0009] According to some embodiments of the present disclosure, determining the position-displacement mapping relationship between the plurality of positions of the stiffening girder and the lateral displacements based on the maximum horizontal component force comprises: determining a first mapping relationship between the plurality of positions of the stiffening girder and first displacements of the stiffening girder at the plurality of positions under a transverse wind force, the transverse wind force being a transverse force of the transverse wind load acting on the stiffening girder; determining a second mapping relationship between the plurality of positions of the stiffening girder and second displacements of the stiffening girder at the plurality of positions under the maximum horizontal component force; and superimposing the first mapping relationship and the second mapping relationship to obtain the position-displacement mapping relationship between the plurality of positions of the stiffening girder and the lateral displacements.
[0010] According to some embodiments of the present disclosure, in the process of determining the first mapping relationship and / or the second mapping relationship, the boundary condition comprises: the amount of lateral displacement at the two end positions of the stiffening girder is zero.
[0011] According to some embodiments of the present disclosure, the first mapping relationship satisfies: wherein u b is the first displacement, F y1is a transverse force of the transverse wind load acting on the stiffening beam, x is a position point on the stiffening beam, l is a main span of the suspension bridge, EI y is a transverse bending stiffness of the stiffening beam.
[0012] According to some embodiments of the present disclosure, the second mapping relationship satisfies:
[0013] wherein u c is the second displacement, F y is a maximum horizontal component, l is a main span of the suspension bridge, x is a position point of the stiffening beam, EI y is a transverse bending stiffness of the stiffening beam.
[0014] According to some embodiments of the present disclosure, determining a position-stress mapping relationship between the plurality of positions and stresses by the position-displacement mapping relationship and the displacement-stress mapping relationship comprises: determining a position-moment mapping relationship between the plurality of positions and moments by the position-displacement mapping relationship and the displacement-moment mapping relationship; and determining the position-stress mapping relationship between the plurality of positions and stresses by the position-moment mapping relationship and the moment-stress mapping relationship.
[0015] According to some embodiments of the present disclosure, the position-moment mapping relationship satisfies:
[0016] wherein M(x) is the moment, F y1 is a transverse force of the transverse wind load acting on the stiffening beam, x is a position point on the stiffening beam, l is a main span of the suspension bridge, F y is a maximum horizontal component of a plurality of horizontal components formed by the main cable of the suspension bridge at the plurality of positions of the stiffening beam through the hangers under the transverse wind load.
[0017] According to some embodiments of the present disclosure, the position-stress mapping relationship satisfies:
[0018] wherein σ(x) is the stress, B is a width of the stiffening beam, I y is a sectional moment of inertia of the stiffening beam.
[0019] According to some embodiments of the present disclosure, determining a maximum stress position point in the plurality of positions according to the position-stress mapping relationship comprises: determining a tangent point of a tangent line of a stress curve corresponding to the position-stress mapping relationship, the tangent line having a slope of 0; and determining a tangent point with a maximum stress from the tangent point, to obtain a maximum stress position point in the plurality of positions corresponding to the tangent point with the maximum stress.
[0020] According to some embodiments of the present disclosure, the maximum stress position point x max satisfies: The operation relationship between the maximum stress position point and the corresponding maximum stress value σ max satisfies: Wherein, F y1 is the lateral force of the transverse wind load acting on the stiffening beam, F y is the maximum horizontal component force of a plurality of horizontal component forces formed by the main cable of the suspension bridge through the suspender at a plurality of positions of the stiffening beam under the action of the transverse wind load, l is the main span of the suspension bridge, B is the width of the stiffening beam, I y is the sectional moment of inertia of the stiffening beam.
[0021] According to some embodiments of the present disclosure, the maximum displacement position point is the midspan position of the stiffening beam.
[0022] According to some embodiments of the present disclosure, the operation relationship between the maximum displacement position point and the corresponding maximum lateral displacement satisfies: Wherein, is the maximum lateral displacement, F y1 is the lateral force of the transverse wind load acting on the stiffening beam, F y is the maximum horizontal component force of a plurality of horizontal component forces formed by the main cable of the suspension bridge through the suspender at a plurality of positions of the stiffening beam under the action of the transverse wind load, l is the main span of the suspension bridge, E y is the lateral bending stiffness of the stiffening beam.
[0023] According to some embodiments of the present disclosure, the transverse deflection-span ratio limit value T of the stiffening beam satisfies:
[0024] Wherein, σ w is the stress limit value, l is the main span of the suspension bridge, B is the width of the stiffening beam, and E is the elastic modulus of the stiffening beam.
[0025] According to some embodiments of the present disclosure, the way of determining the stress limit value comprises: determining the material strength design value of the stiffening beam based on the material of the stiffening beam; and determining the difference between the material strength design value and the environmental stress value other than the stress value under the action of the transverse wind load, and obtaining the stress limit value of the stiffening beam under the action of the transverse wind load based on the difference.
[0026] The second aspect of the present disclosure provides a bridge stiffness evaluation system, comprising: the data processing device in any of the above embodiments, the data processing device being configured to determine a lateral deflection-span ratio limit value of a suspension bridge to be evaluated; and a stiffness evaluation module configured to determine that the lateral stiffness of the suspension bridge to be evaluated meets the requirements when the lateral deflection-span ratio of the suspension bridge to be evaluated is less than or equal to the lateral deflection-span ratio limit value.
[0027] The third aspect of the present disclosure provides a data processing method, comprising: determining a position-displacement mapping relationship between a plurality of positions of a stiffening beam of a suspension bridge and lateral displacements under the action of a lateral wind load, the plurality of positions being distributed along the length direction of the stiffening beam; determining a position-stress mapping relationship between the plurality of positions and stresses through the position-displacement mapping relationship and a displacement-stress mapping relationship; determining a maximum stress position point in the plurality of positions according to the position-stress mapping relationship, the stress value at the maximum stress position point being the maximum; and determining a lateral deflection-span ratio limit value of the stiffening beam through an operation relationship between the maximum stress position point and a corresponding maximum stress value, an operation relationship between a maximum displacement position point and a corresponding maximum lateral displacement, and a stress limit value of the stiffening beam, the lateral displacement at the maximum displacement position point being the maximum.
[0028] The fourth aspect of the present disclosure provides a bridge stiffness evaluation method, comprising: obtaining a lateral deflection-span ratio limit value of a suspension bridge to be evaluated through the data processing method in any of the above embodiments; and determining that the lateral stiffness of the suspension bridge to be evaluated meets the requirements when the lateral deflection-span ratio of the suspension bridge to be evaluated is less than or equal to the lateral deflection-span ratio limit value.
[0029] The fifth aspect of the present disclosure provides a readable storage medium, the readable storage medium storing a computer program, the computer program being executed by a processor to implement the method in any of the above embodiments.
[0030] The sixth aspect of the present disclosure provides a computer program product, the computer program product comprising a computer program, the computer program being executed by a processor to implement at least the method in any of the above embodiments. BRIEF DESCRIPTION OF DRAWINGS
[0031] The accompanying drawings illustrate exemplary embodiments of the present disclosure and together with the general description of the disclosure given above, and the detailed description of the embodiments below, serve to explain the principles of the present disclosure.
[0032] FIG. 1 shows a structural schematic diagram of a single-span suspension bridge.
[0033] FIG. 2 shows a structural block diagram of a data processing device according to some embodiments of the present disclosure.
[0034] Fig. 3 shows a flow chart of determining the lateral deflection-to-span ratio limit of a suspension bridge by using a data processing device according to some embodiments of the present disclosure.
[0035] Fig. 4 shows a schematic elevation view of a single-span suspension bridge.
[0036] Fig. 5 shows a schematic top view of a single-span suspension bridge under lateral wind load.
[0037] Fig. 6 shows a schematic cross-sectional view of a single-span suspension bridge under lateral wind load.
[0038] Fig. 7 shows a force diagram of a stiffening girder under lateral wind load.
[0039] Fig. 8 shows a stress curve of a stiffening girder under lateral wind load.
[0040] Fig. 9 shows a comparison between analytical results and finite element results of displacement of a stiffening girder.
[0041] Fig. 10 shows a comparison between analytical results and finite element results of stress of a stiffening girder.
[0042] Fig. 11 shows a schematic diagram of a data processing device according to some embodiments of the present disclosure.
[0043] Fig. 12 shows a schematic diagram of load distribution on a stiffening girder under lateral wind load.
[0044] Fig. 13 shows a schematic diagram of a bridge stiffness evaluation system according to some embodiments of the present disclosure.
[0045] Fig. 14 shows a schematic diagram of a data processing method according to some embodiments of the present disclosure.
[0046] Fig. 15 shows a schematic diagram of a bridge stiffness evaluation method according to some embodiments of the present disclosure. DETAILED DESCRIPTION
[0047] The present disclosure will be described in further detail below with reference to the accompanying drawings and embodiments. It can be understood that the specific embodiments described herein are only used to explain the related content, and not to limit the present disclosure. In addition, it should be noted that only parts related to the present disclosure are shown in the accompanying drawings for ease of description.
[0048] It should be noted that the embodiments and features in the embodiments of the present disclosure can be combined with each other without conflict. The technical solutions of the present disclosure will be described in detail below with reference to the accompanying drawings and in combination with the embodiments.
[0049] Unless otherwise indicated, the exemplary implementations / examples shown are to be understood as providing exemplary features of various details that can be employed in practicing the inventive concepts of the present disclosure. Accordingly, unless otherwise indicated, the features of the various implementations / examples can additionally be combined, separated, interchanged, and / or rearranged, without departing from the inventive concepts of the present disclosure.
[0050] The terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting. As used herein, the singular forms "a," "an," and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise. Furthermore, to the extent that the terms "including," "includes," "containing," "contains," or "containing," "contains," or variants thereof are used in either the detailed description or the claims, such terms are intended to be inclusive in a manner similar to the term "comprising" as an open transition term without precluding any additional or other elements. It is also noted that, as used herein, the terms "substantially," "approximately," and other similar terms are used as synonyms for "about," and are employed to account for inherent variations in measuring, calculating, and / or providing a value or quantity.
[0051] Fig. 1 shows a structural schematic diagram of a single-span suspension bridge. Referring to Fig. 1, S is a stiffening beam (main span in a single-span suspension bridge), R is a suspender (also known as a hanger), and K is a suspension cable (also known as a main cable). For a single-span suspension bridge, the bridge design specifications at home and abroad make corresponding provisions for the bridge stiffness index and limit value, but since the highway bridge for passing vehicles has relatively low requirements for driving safety and comfort, there are few provisions for lateral stiffness, and only the maximum lateral displacement of the stiffening beam under the action of crosswind is stipulated in the Design Specification for Highway Suspension Bridges (hereinafter referred to as the Specification) to be not greater than 1 / 150 of the span. The field has not yet given a more accurate index and limit value for the lateral stiffness of highway suspension bridges (such as long-span suspension bridges), and some of the completed highway suspension bridges exceed the limit value of the Specification, such as X Bridge, whose lateral deflection-to-span ratio is 1 / 74, which is much larger than the 1 / 150 stipulated in the Specification, but it is still running perfectly.
[0052] The starting point for formulating the stiffness standard for long-span suspension bridges is to ensure the safety and comfort of driving on the bridge, and therefore the most direct analysis means to judge whether the lateral stiffness of a bridge meets the requirements is to evaluate the driving safety and comfort of the bridge. According to the calculation and analysis, for a long-span highway suspension bridge, during the operation stage, the lateral deflection-to-span ratio is not controlled by driving comfort and safety, and therefore it is not applicable to judge the structural lateral stiffness by the driving safety and comfort indicators during the operation stage.
[0053] Figure 2 shows a structural block diagram of a data processing apparatus according to some embodiments of the present disclosure. The data processing apparatus 1000 can include a data processing apparatus 1000 comprising a processor 1200 and a memory 1300. In the present disclosure, the data processing apparatus 1000 can be different types of electronic devices, for example, the terminal can be a mobile phone, a tablet computer, a notebook computer, or a desktop computer, etc.
[0054] The maximum transverse deflection of the main girder of a long-span suspension bridge under the action of a 100-year transverse wind load (W2 wind action level) occurs at the midspan position, and the bridge is in a non-operating state of traffic closure at this time. The stress of the stiffened girder is related to the deformation of the stiffened girder, and the stress of the stiffened girder increases with the increase of the deformation of the stiffened girder. Therefore, the transverse stiffness limit value of the stiffened girder can be determined by the stress level of the stiffened girder. For example, the deformation curve of the stiffened girder of the suspension bridge under the action of the 100-year transverse wind load (referred to as transverse wind load) can be obtained, the relationship between the stress and the deformation of the stiffened girder is obtained, and then the transverse deflection ratio limit value of the stiffened girder is derived according to the stress limit value of the stiffened girder.
[0055] Figure 3 shows a flowchart for determining the transverse deflection ratio limit value of a suspension bridge using a data processing apparatus according to some embodiments of the present disclosure. The detailed description of Figure 3 is to make the technical solutions of the present disclosure more clearly understood, and should not be considered as a limitation of the protection scope of the present disclosure. In the implementation process of the technical idea of the present disclosure, one or more steps can be omitted, or other alternative ways can be used.
[0056] Referring to Figure 3, the C Bridge with a span of 2180m and a single-span steel truss girder suspension bridge is taken as an example to illustrate how to determine the transverse stiffness limit value of the C Bridge. In order to obtain the transverse stiffness limit value, the stress limit value σ W of the stiffened girder of the C Bridge under the action of W2 wind needs to be determined first. W The stress limit value σ H can be obtained by the following formula (1). 1.1*(1.1*σ T +0.75*1.4*σ W +1.4*σ d (1)
[0057] Formula (1) is a formula for constraining the load of the bridge. Wherein, f d is the material strength design value of the stiffened girder. The strength design value is the value of the strength standard value of steel or connection divided by the corresponding resistance sub-coefficient, and the value of f d is different for different materials. The stiffened girder can be made of steel material or concrete material. Taking Q420 type steel material as an example, the material strength design value f d of the stiffened girder is 320MPa. σ Hσ T is the stress value of the stiffening girder under the action of temperature. W is the stress value of the stiffening girder under the action of transverse wind load. H , σ T and σ W can be called environmental stress values. The environmental stress value of the bridge needs to meet formula (1) to be considered to meet the requirements. To determine the limit value σ W of the stress σ w under the action of transverse wind load, the values of σ H and σ T can be set as a possible larger value, and then the value of σ W is calculated, at this time the value of σ W is the limit value of the allowable stress under the action of wind load, that is, the stress limit σ w .
[0058] Specifically, the values of σ H and σ T can be obtained by statistics and set. For example, according to the actual stress state of the suspension bridge, the stress values of the stiffening girder under the action of dead load and temperature load of single-span suspension bridges with different main spans and different stiffening girder types are counted to obtain multiple stress values σ H under the action of dead load and multiple stress values σ T under the action of temperature load. The statistical results show that the maximum value of each σ H is less than 10MPa, and the maximum value of each σ T is less than 40MPa, so σ H can be set to 10MPa and σ T can be set to 40MPa, thereby the stress limit under the action of wind load is maximally constrained, so that when the transverse deflection-span ratio limit is determined and used to judge whether the transverse stiffness of the stiffening girder meets the requirements, if the judgment result is that it meets the requirements, the accuracy of the judgment result can be ensured. The values of σ H , σ T and f d are substituted into the above formula (1), and σ W ≤170MPa, that is, the maximum allowable value of the stress σ w of the stiffening girder under the action of transverse wind load is 170MPa.
[0059] To obtain the lateral stiffness limit value, it is also necessary to determine the relationship between the stress of the stiffening girder under the action of lateral wind load and the lateral deflection-span ratio. FIG. 4 shows a schematic view of the elevation of a single-span suspension bridge. Referring to FIG. 4, the lateral wind load causes the single-span suspension bridge to deform laterally, and the deformation direction is the lateral bridge direction, which is perpendicular to the bridge axis in the horizontal direction. l is the main span length of the suspension bridge, and for a single-span suspension bridge, l is equivalent to the length of the stiffening girder. h t is the distance between the cable K and the stiffening girder S at the midspan of the suspension bridge.
[0060] FIG. 5 shows a schematic view of the top view of the single-span suspension bridge under the action of lateral wind load, and FIG. 6 shows a schematic view of the cross section of the single-span suspension bridge under the action of lateral wind load, which shows the positional relationship between the cable K and the stiffening girder S under the action of lateral wind load. Referring to FIG. 5 and FIG. 6, under the action of lateral wind W, the cable K and the stiffening girder S both displace and deform to a certain extent. The displacement of the cable K is less than that of the stiffening girder S, and the cable K generates a drag force in the opposite direction of the lateral wind on the stiffening girder S to hinder the deformation of the stiffening girder S. x is the coordinate of a certain position point on the stiffening girder S in the bridge axis direction, and the bridge axis direction is the bridge axis direction. u is the displacement amount of the cable K at the x point, and v is the displacement amount of the stiffening girder S at the x point. F is the horizontal component of the tension of the corresponding suspender R on the stiffening girder S at the x point, i.e., the horizontal component.
[0061] Based on the positional relationship shown in FIG. 4-FIG. 6, the maximum horizontal component F y of the multiple horizontal components F of the suspender R on the stiffening girder S is determined under the action of lateral wind load. y y The maximum horizontal component F y1 may be represented by the following formula (2).
[0062] In formula (2), F y2 is the lateral force of the lateral wind load acting on the midspan position of the stiffening girder S, and F y1 is the lateral force of the lateral wind load acting on the cable K corresponding to the midspan position. When the bridge structure size, wind speed, and other parameters of the C Bridge are determined, the values of F y2 and F y E is the transverse bending stiffness of the stiffening beam S, and E is the elastic modulus of the stiffening beam S. y is the moment of inertia of the stiffening girder section. H is the horizontal force of the dead load acting on the suspension cable K, where the dead load includes the self-weight of the suspension cable K, the stiffening girder (main girder), the load formed by the bridge deck pavement and guardrails, etc., and the change of the horizontal force of the suspension cable K caused by wind load is ignored here. p is the dead load intensity of the stiffening girder S.
[0063] The transverse force F of the wind load on the stiffening girder S is obtained. y1 The peak value of the horizontal component of the wind load transmitted from the suspension cable K to the stiffening girder S. y Next, the first position-displacement mapping relationship (hereinafter referred to as the first mapping relationship) between different x-positions of the stiffening girder S under the action of lateral wind load and the first displacement formed at the aforementioned different x-positions under the action of lateral wind force was determined, and the maximum horizontal component force F was determined. y The second position-displacement mapping relationship (hereinafter referred to as the second mapping relationship) between the different x positions of the stiffening beam S when acting on it and the second displacement formed at the above different x positions under the action of the maximum horizontal component force.
[0064] In determining the first and second mapping relationships, the boundary conditions include: when x = 0, u b =0; and when x=l, u b =0. Where, u b Let be the first displacement. The first mapping relationship satisfies the following formula (3).
[0065] The second mapping relationship satisfies the following formula (4).
[0066] Among them, u c The second displacement. Formula (3) is the deflection curve equation of wind load, which describes the lateral displacement (transverse displacement) that occurs at different x positions caused by the force exerted by the wind load on the stiffening beam S at different x positions. Formula (4) is the deflection curve equation of the suspension cable tension, which describes the lateral displacement that occurs at different x positions caused by the tension of the suspender R on the stiffening beam S at different x positions.
[0067] Figure 7 shows a simplified force diagram of the stiffened girder under lateral wind load. Referring to Figure 7, the arrows indicate the direction of the force. The force on the stiffened girder S can be decomposed into a horizontal component F and a lateral wind load F. y1 The forces are superimposed, where the distribution of the horizontal component F is assumed to be an isosceles triangle as described above. At the mid-span position, the stiffening beam S experiences the maximum horizontal component F. y Lateral force F of wind load y1superposition. Based on the superposition principle, the first mapping relationship and the second mapping relationship are superposed, that is, the first displacement and the second displacement in each of the different x positions are superposed to obtain a position-displacement mapping relationship, which represents the lateral displacement u(x) of the stiffened beam S at different x positions.
[0068] The position-displacement mapping relationship satisfies the following formula (5). The formula (5) is a lateral displacement curve equation of the stiffened beam, which describes the lateral displacement of the stiffened beam S at different x positions under the action of wind load.
[0069] The position-displacement mapping relationship and the displacement-moment mapping relationship can be used to obtain a position-moment mapping relationship, that is, the moment M(x) of the stiffened beam S at different x positions. Under the action of the transverse wind load, the position-moment mapping relationship satisfies the following formula (6). The formula (6) is a moment curve equation of the stiffened beam, which describes the moment of the stiffened beam S at different x positions under the action of wind load.
[0070] The position-moment mapping relationship and the moment-stress mapping relationship can be used to obtain a position-stress mapping relationship, that is, the stress value σ(x) of the stiffened beam S at different x positions. Under the action of the transverse wind load, the stress value σ(x) satisfies the following formula (7). The formula (7) is a stress curve equation of the stiffened beam, which describes the stress of the stiffened beam S at different x positions under the action of wind load.
[0071] wherein B is the width of the stiffened beam S.
[0072] After obtaining the position-stress mapping relationship, the position of the stiffened beam with the maximum stress is determined. The position with the maximum stress is the tangent point with a tangent line having a slope of 0, so the tangent point with the tangent line having a slope of 0 can be determined from a stress value curve formed by the stress values at multiple positions of the stiffened beam. The specific manner can be to obtain the position with the maximum stress based on the first derivative of the stress curve of the formula (7). The stress curve of the formula (7) is symmetrical with respect to the vertical direction, and when the formula (7) is differentiated, the first derivative calculation can be performed only on the stress curve of one half of the span, for example, the stress curve of one half of the span with a span range of The result of the differentiation is represented by the following formula (8).
[0073] Let σ'(x) = 0 and solve the formula (8) to obtain two tangent points, that is, two x values. Figure 8 shows a stress curve of the stiffened beam under the action of the lateral wind load. Referring to Figure 8, the stress curve σ(x) is different from the displacement curve in Figure 5, and x1 and x2 in Figure 8 respectively correspond to the two x values obtained by solving, and the tangent slopes at the positions of x1 and x2 are both zero, and x1 and x2 are both likely to be candidate position points corresponding to the maximum stress value.
[0074] Since the number of obtained tangent points is more than one, the stress values at the positions of x1 and x2 can be determined, and the maximum stress value σ max is determined therefrom. max Then, the corresponding lateral deflection-span ratio limit value is determined based on the maximum stress value σ max , and the numerical value of the lateral deflection-span ratio limit value is taken as the lateral stiffness limit value of the C bridge. The lateral stiffness limit value can be used to judge whether the lateral stiffness of the C bridge is qualified. If the numerical value of the lateral deflection-span ratio of the C bridge obtained by modeling the C bridge and performing finite element analysis does not exceed the lateral stiffness limit value, it indicates that the lateral stiffness of the C bridge is qualified, otherwise it indicates that the lateral stiffness of the C bridge is not qualified.
[0075] In determining the stress values corresponding to x1 and x2, x1 and x2 are respectively substituted into formula (7) to obtain the operation relationship between the position point x1 and the corresponding stress value σ(x1): and the operation relationship between the position point x2 and the corresponding stress value σ(x2): Through calculation, it is known that σ(x1)>σ(x2), so the maximum stress value σ max =σ(x1), and the maximum stress position point is x1. The operation relationship between x1 and σ max is called the position-maximum stress operation relationship.
[0076] In determining the lateral stiffness limit value, the operation relationship between the maximum displacement position point and the corresponding maximum lateral displacement umax also needs to be obtained. This operation relationship is determined after the lateral displacement curve u(x) is obtained. In the case where the horizontal component force F is assumed to be an isosceles triangular distribution, the lateral displacement at the mid-span position of the stiffened beam S is the maximum lateral displacement. Substituting into formula (5) obtains the operation relationship between the maximum displacement position point and the corresponding maximum lateral displacement u max (that is, ). After moving the terms, the following formula (9) is obtained. In formula (9), the operation relationship between x and u max is called the position-maximum displacement operation relationship.
[0077] To ensure the force safety of the bridge structure, it is necessary to satisfy: σ max ≤σ w, i.e. the maximum stress value needs to be less than or equal to the stress limit value. In combination with the operation relationship of formula (9) and the operation relationship between x1 and σ max , the following formula (10) is obtained.
[0078] Formula (10) is arranged to obtain formula (11), which shows the expression of the transverse stiffness limit value T.
[0079] wherein Δl is the maximum transverse deformation of the stiffening beam, is the transverse deflection-span ratio, Each variable is substituted into formula (11) to calculate the transverse stiffness limit value T.
[0080] The transverse stiffness limit value T can be used to determine whether the transverse stiffness of the bridge is qualified. For example, when determining whether the transverse stiffness of C Bridge is qualified, a spatial finite element model of C Bridge is established and finite element analysis is performed on the model, so as to obtain the transverse deflection-span ratio of C Bridge. The transverse stiffness limit value T of C Bridge is calculated through the parameters of C Bridge and wind load and other parameters. If the transverse deflection-span ratio of C Bridge is less than or equal to the transverse stiffness limit value T, it means that the transverse stiffness of C Bridge meets the requirements, otherwise it means that the transverse stiffness of C Bridge does not meet the requirements.
[0081] The bridge design parameters of actual C Bridge are used to calculate the transverse stiffness and determine whether the bridge stiffness meets the requirements. Table 1 shows the design parameter value table of the bridge and wind load of C Bridge.
[0082] Table 1 Design parameter value table of the bridge and wind load of C Bridge
[0083] The stress limit value σ w = 170 MPa is obtained through formula (1). The value of β is 4.41 obtained through the design parameters in Table 1. The stress limit value σ w , β, the elastic modulus E of the stiffening beam, the width B of the stiffening beam, the main span length l and the correction coefficient q = 5 / 6 are substituted into formula (11): wherein the correction coefficient q is used to correct the error of the transverse stiffness limit value T. The transverse displacement Δl of the stiffening beam of C Bridge under the action of the hundred-year transverse wind is 11.47 m obtained through finite element analysis, the transverse deflection-span ratio is 11.47 / 2180 ≈ 1 / 190. Since 1 / 190 < 1 / 125, the transverse stiffness of C Bridge meets the structural safety requirements.
[0084] Regarding the acquisition of the correction coefficient q, in the process of determining T, the stiffening girder deflection curve is the basis for obtaining the maximum stress of the stiffening girder, therefore, the accuracy of the stiffening girder deflection curve equation corresponding to formula (5) is related to the accuracy of the subsequent transverse stiffness limit value T. In order to verify the accuracy and precision of the mapping relationship and the operation relationship, after the establishment of the spatial finite element analysis model of C Bridge, the analytical results and the finite element analysis results can be compared, wherein the analytical results are the results calculated by the above formulas (1) to (10).
[0085] FIG. 9 shows a comparison chart of the analytical results and the finite element results of the stiffening girder displacement. Referring to FIG. 9, for the stiffening girder displacement, the analytical results and the finite element results are relatively small, and the curve shape and the maximum value are relatively similar, wherein the maximum displacement of the analytical results is 11.6 m, which is 1.8% larger than the finite element results.
[0086] FIG. 10 shows a comparison chart of the analytical results and the finite element results of the stiffening girder stress. Referring to FIG. 10, for the stiffening girder stress, the analytical results and the finite element results have certain errors, but the change trend is basically consistent, and the curves both present M shape, and the maximum stress appears near 1 / 4 span. The maximum stress of the analytical results is 95 MPa, and the maximum stress of the finite element results is 113 MPa, which is about 19% larger than the analytical results. Taking the finite element results as the accurate results, the numerical error between the analytical results and the finite element results can be accepted, that is, it can be considered that the accuracy of the analytical results is acceptable, and can be used for the evaluation of the transverse stiffness limit value of the single-span suspension bridge. According to the calculation results, it can be known that the analytical formula can more accurately reflect the deformation and stress of the stiffening girder under the action of the transverse wind load.
[0087] Since the maximum difference between the analytical results and the finite element results of the stiffening girder stress is 19%, therefore, in the calculation of the transverse stiffness limit value T, the correction coefficient is introduced, and the stress value of the analytical results is multiplied by the coefficient of 1.2, so that the stress value of the analytical results is not less than the finite element calculation results.
[0088] FIG. 11 shows a schematic diagram of a data processing apparatus employing a hardware implementation of the processing system in some embodiments of the present disclosure. Referring to FIG. 11, the data processing apparatus 1000 provided by the present disclosure includes a processor 1200 and a memory 1300. The processor 1200 can be a central processing unit (CPU). The processor 1200 can also be other general-purpose processors, digital signal processors (DSP), application specific integrated circuits (ASIC), field-programmable gate arrays (FPGA) or other programmable logic devices, discrete gates or transistor logic components, discrete hardware components, or a combination thereof.
[0089] The memory 1300 can be used as a non-transitory computer-readable storage medium for storing non-transitory software programs, non-transitory computer-executable programs and modules, such as program instructions of the computer program in the embodiments of the present disclosure. The processor 1200 executes various functions and data processing of the data processing apparatus by running the non-transitory software programs, instructions and modules stored in the memory 1300, thereby realizing the data processing method.
[0090] The memory 1300 can include a program storage area and a data storage area. The program storage area can store an operating system and at least one application required by a function. The data storage area can store data created by the processor 1200, such as structural parameters of a bridge, wind load parameters, finite element model parameters, stiffness evaluation results, etc. In addition, the memory 1300 can include a high-speed random access memory, and can also include a non-transitory memory, such as at least one magnetic disk storage device, a flash memory device, or other non-transitory solid-state memory device. In some embodiments, the memory 1300 can optionally include a memory disposed remotely with respect to the processor 1200, and these remote memories can be connected to the processor 1200 through a network. Examples of the network include but are not limited to the Internet, an intranet, a local area network, a mobile communication network, and a combination thereof.
[0091] The memory 1300 stores a computer program. When the computer program is executed by the processor 1200, the processor 1200 can be caused to perform the following steps S110, S120, S130 and S140 to realize the data processing method.
[0092] S110, determine a position-displacement mapping relationship between a plurality of positions of the stiffening beam of the suspension bridge under the action of the transverse wind load and lateral displacements. The plurality of positions are distributed along the length direction of the stiffening beam. Step S110 can be implemented by the displacement relationship obtaining module 1002.
[0093] S120, determine a position-stress mapping relationship between the plurality of positions and stresses by the position-displacement mapping relationship and the displacement-stress mapping relationship. Step S120 can be implemented by the stress relationship obtaining module 1004.
[0094] S130, determine a maximum stress position point in the plurality of positions according to the position-stress mapping relationship. The stress value at the maximum stress position point is the maximum. Step S130 can be implemented by the stress position determining module 1006.
[0095] S140, determine a transverse deflection-span ratio limit value of the stiffening beam by an operation relationship between the maximum stress position point and the corresponding maximum stress value, an operation relationship between a maximum displacement position point and the corresponding maximum lateral displacement, and a stress limit value of the stiffening beam. The lateral displacement at the maximum displacement position point is the maximum. Step S140 can be implemented by the limit value determining module 1008.
[0096] According to the data processing device provided by the embodiments of the present disclosure, the deformation curve of the stiffening beam of the suspension bridge under the action of the transverse wind for 100 years is determined first, the relationship between the stress of the stiffening beam and the deformation curve is obtained, and then the transverse deflection-span ratio limit value is obtained according to the stress limit value of the stiffening beam. The transverse deflection-span ratio limit value can accurately reflect the real stiffness limit of the bridge and can be used for evaluating the transverse stiffness limit of the bridge.
[0097] The device 1000 can include corresponding modules that perform each or several steps of the above data processing method. Therefore, each or several steps in the above flowchart can be performed by the corresponding modules, and the device can include one or more of these modules. The modules can be one or more hardware modules specially configured to perform the corresponding steps, or implemented by a processor configured to perform the corresponding steps, or stored in a computer readable medium for implementation by a processor, or implemented by some combination.
[0098] The hardware structure can be implemented by a bus architecture. The bus architecture can include any number of interconnected buses and bridges, depending on the specific application of the hardware and overall design constraints. The bus 1100 connects various circuits including one or more processors 1200, memories 1300, and / or hardware modules together. The bus 1100 can also connect various other circuits 1400 such as peripheral devices, voltage regulators, power management circuits, external antennas, etc.
[0099] The bus 1100 can be an Industry Standard Architecture (ISA) bus, a Peripheral Component Interconnect (PCI) bus, or an Extended Industry Standard Architecture (EISA) bus, etc. The bus can be divided into an address bus, a data bus, a control bus, etc. For ease of representation, only one connection line is shown in the figure, but it does not mean that there is only one bus or one type of bus.
[0100] The lateral wind load is a 100-year lateral wind load, i.e., a W2 wind load, and the lateral bearing capacity of the bridge in a non-operating state is determined by the 100-year lateral wind load. Referring to FIG. 4, the plurality of positions of the stiffening beam are distributed along the bridge longitudinal direction of the stiffening beam, that is, sequentially arranged along the direction of l, and these positions are one of the mapping relationships obtained subsequently and the coordinate positions of the x-axis in the subsequently obtained curve.
[0101] The position-displacement mapping relationship can be characterized as a displacement curve, the x-axis is the position point on the stiffening beam, and the y-axis is the lateral displacement amount of the position point. The position-displacement mapping relationship can also be characterized as a displacement expression, i.e., formula (5).
[0102] In step S110, the manner of determining the position-displacement mapping relationship between the plurality of positions of the stiffening beam and the lateral displacement under the action of the lateral wind load can include the following steps: determining the maximum horizontal component force of the plurality of horizontal component forces formed by the main cable of the suspension bridge at the plurality of positions of the stiffening beam through the suspender under the action of the lateral wind load; and determining the position-displacement mapping relationship between the plurality of positions of the stiffening beam and the lateral displacement based on the maximum horizontal component force. The maximum horizontal component force can be the horizontal component force formed by the main cable of the suspension bridge at the mid-span position of the stiffening beam. The maximum horizontal component force F y which can be represented by the above formula (2).
[0103] FIG. 12 shows a schematic diagram of load distribution on the stiffening beam under the action of the lateral wind load. Referring to FIG. 12, S is the stiffening beam, K is the suspender, and R is the suspender connected to the stiffening beam S and the suspender K. The static force calculation of the large-span suspension bridge under the lateral wind load is mainly to determine the load distribution between the suspender and the stiffening beam and the control of the lateral stiffness of the stiffening beam. Under the action of the wind load, the horizontal force distribution of the suspender R transmitted to the stiffening beam S is generally in the shape of a parabola D1. In the approximate calculation analysis, according to the distribution assumption of the isosceles triangle, the distribution of the horizontal lateral wind load transmitted by the suspender R to the stiffening beam S can be assumed to be in the form of an isosceles triangle D2, that is, the full-span uniform load is equivalent to the form of an isosceles triangle. Thus, the value of the maximum horizontal component force F y is obtained.
[0104] In step S110, the manner of determining the position-displacement mapping relationship between the plurality of positions of the stiffened beam and the lateral displacement based on the maximum horizontal component force can include the following steps: determining a first mapping relationship between the plurality of positions of the stiffened beam and a first displacement formed at the plurality of positions of the stiffened beam under the action of a lateral wind force, wherein the lateral wind force is a lateral force of the lateral wind load acting on the stiffened beam; determining a second mapping relationship between the plurality of positions of the stiffened beam and a second displacement formed at the plurality of positions of the stiffened beam under the action of the maximum horizontal component force; and superimposing the first mapping relationship and the second mapping relationship to obtain the position-displacement mapping relationship between the plurality of positions of the stiffened beam and the lateral displacement. Step S110 can obtain the lateral displacement of the stiffened beam by superimposing the lateral force of the self wind load on the stiffened beam and the lateral force of the suspension cable transmitted to the stiffened beam.
[0105] In the process of determining the first mapping relationship, the boundary condition can include that the amount of lateral displacement at the two end positions of the stiffened beam is zero. In the process of determining the second mapping relationship, the boundary condition can also include that the amount of lateral displacement at the two end positions of the stiffened beam is zero.
[0106] The first mapping relationship and the second mapping relationship can both be characterized as displacement curves, the x-axis is a position point on the stiffened beam, and the y-axis is the amount of lateral displacement of the position point. The first mapping relationship and the second mapping relationship can also be characterized as displacement expressions. The first mapping relationship can be represented by the above formula (3). The second mapping relationship can be represented by the above formula (4). Referring to FIG. 7, the deflection curve equation of the wind load lateral force acting on the stiffened beam can be obtained first, and then the first mapping relationship can be obtained according to the boundary condition. It can be understood that, since the displacement and stress of the two half spans of the stiffened beam are considered to be symmetrical, formula (4) is represented in the form of a piecewise function. The position-displacement mapping relationship obtained after superimposition can be represented by the above formula (5).
[0107] In step S120, the manner of determining the position-stress mapping relationship between the plurality of positions and the stress through the position-displacement mapping relationship and the displacement-stress mapping relationship can include the following steps: determining a position-moment mapping relationship between the plurality of positions and the moment through the position-displacement mapping relationship and the displacement-moment mapping relationship; and determining the position-stress mapping relationship between the plurality of positions and the stress through the position-moment mapping relationship and the moment-stress mapping relationship.
[0108] The position-moment mapping relationship can be characterized as a moment curve, the x-axis is a position point on the stiffened beam, and the y-axis is the moment of the position point. The position-moment mapping relationship can also be characterized as a moment expression, and the position-moment mapping relationship can be represented by the above formula (6).
[0109] The position-stress mapping relationship can be characterized as a stress curve, with the x-axis representing a position point on the stiffened beam and the y-axis representing the stress of the position point. The position-stress mapping relationship can also be characterized as a stress expression, which can be represented by the above formula (7).
[0110] In step S130, the manner of determining the maximum stress position point in the plurality of positions according to the position-stress mapping relationship can include the following steps: determining a tangent point of a tangent line in the stress curve corresponding to the position-stress mapping relationship, the slope of the tangent line being 0; and determining the tangent point with the maximum stress from the tangent point, to obtain the maximum stress position point in the plurality of positions corresponding to the tangent point with the maximum stress.
[0111] The tangent point can be obtained by taking the derivative of formula (7) and setting the expression obtained by the derivative to be equal to 0, thereby obtaining one or more x positions. Since the stress of the stiffened beam is assumed to be symmetrically distributed in two half spans, the derivative can be taken only for one of the two half spans, for example, the derivative of the front half span in formula (7) to obtain the above formula (8). Setting the right side of formula (8) to be equal to 0, two x values are obtained, which are x1 and x2. Substituting the numerical values of the parameters into the expressions of x1 and x2, x1 is determined as the maximum stress position point of the stiffened beam corresponding to the tangent point with the maximum stress. The maximum stress position point x max may be represented as: The operational relationship between the maximum stress position point and the corresponding maximum stress value σ max may be represented as: It can be understood that if x2 is the maximum stress position point of the stiffened beam corresponding to the tangent point with the maximum stress, the maximum stress position point x max may be represented as:
[0112] In step S140, the maximum displacement position point can be a position in the span of the stiffened beam. The operational relationship between the maximum displacement position point and the corresponding maximum lateral displacement may be represented as: The transverse deflection-span ratio limit value T of the stiffened beam can be represented as: It can be understood that if x2 is the maximum stress position point of the stiffened beam corresponding to the tangent point with the maximum stress, the transverse deflection-span ratio limit value T of the stiffened beam can be represented as:
[0113] wherein the stress limit value σ w may be obtained by the following steps: determining the material strength design value of the stiffened beam based on the material of the stiffened beam; and determining the difference between the material strength design value and the environmental stress value other than the stress value under the action of the transverse wind load, and obtaining the stress limit value of the stiffened beam under the action of the transverse wind load based on the difference.
[0114] FIG. 13 shows a schematic diagram of a bridge stiffness evaluation system employing a hardware implementation of a processing system according to some embodiments of the present disclosure. Referring to FIG. 13, the bridge stiffness evaluation system 2000 provided by the present disclosure includes a data processing apparatus 1000 and a stiffness evaluation module 2002. The data processing apparatus 1000 includes a processor 1200 and a memory 1300. The memory 1300 stores a computer program. When the computer program is executed by the processor 1200, the processor 1200 can be caused to perform steps S110, S120, S130 and S140 to obtain the lateral deflection-to-span ratio limit of the suspension bridge to be evaluated.
[0115] S110, determining a position-displacement mapping relationship between a plurality of positions of the stiffening beam of the suspension bridge and lateral displacements under the action of a lateral wind load. The plurality of positions are distributed along the length direction of the stiffening beam. Step S110 can be implemented by a displacement relationship acquisition module 1002.
[0116] S120, determining a position-stress mapping relationship between the plurality of positions and stresses by using the position-displacement mapping relationship and the displacement-stress mapping relationship. Step S120 can be implemented by a stress relationship acquisition module 1004.
[0117] S130, determining a maximum stress position point in the plurality of positions according to the position-stress mapping relationship. The stress value at the maximum stress position point is the maximum. Step S130 can be implemented by a stress position determination module 1006.
[0118] S140, determining the lateral deflection-to-span ratio limit of the stiffening beam by using an operation relationship between the maximum stress position point and the corresponding maximum stress value, an operation relationship between a maximum displacement position point and the corresponding maximum lateral displacement, and a stress limit of the stiffening beam. The lateral displacement at the maximum displacement position point is the maximum. Step S140 can be implemented by a limit value determination module 1008.
[0119] The stiffness evaluation module 2002 is configured to determine that the lateral stiffness of the suspension bridge to be evaluated meets the requirements when the lateral deflection-to-span ratio of the suspension bridge to be evaluated is less than or equal to the lateral deflection-to-span ratio limit.
[0120] It should be noted that the details of the bridge stiffness evaluation system not disclosed in the present embodiment can refer to the details disclosed in the data processing apparatus 1000 of the above-mentioned embodiments of the present disclosure, which will not be described here.
[0121] FIG. 14 shows a flowchart of a data processing method according to some embodiments of the present disclosure. Referring to FIG. 14, the data processing method M100 provided by the present disclosure can include the following steps S110, S120, S130 and S140.
[0122] S110, determine a position-displacement mapping relationship between a plurality of positions of the stiffening beam of the suspension bridge and lateral displacements under the action of the transverse wind load. The plurality of positions are distributed along the length direction of the stiffening beam.
[0123] S120, determine a position-stress mapping relationship between the plurality of positions and stresses by the position-displacement mapping relationship and the displacement-stress mapping relationship.
[0124] S130, determine a maximum stress position point in the plurality of positions according to the position-stress mapping relationship. The stress value at the maximum stress position point is maximum.
[0125] S140, determine a transverse deflection-span ratio limit value of the stiffening beam by an operation relationship between the maximum stress position point and the corresponding maximum stress value, an operation relationship between a maximum displacement position point and the corresponding maximum lateral displacement, and a stress limit value of the stiffening beam. The lateral displacement at the maximum displacement position point is maximum.
[0126] It should be noted that details not disclosed in the data processing method M100 of the embodiment are referable to details disclosed in the data processing device 1000 of the above-mentioned embodiments of the present disclosure, which will not be described here.
[0127] FIG. 15 shows a flowchart of a bridge stiffness evaluation method according to some embodiments of the present disclosure. Referring to FIG. 15, the present disclosure provides a bridge stiffness evaluation method M200, which can include the following steps S210 and S220.
[0128] S210, obtain a transverse deflection-span ratio limit value of the suspension bridge to be evaluated by a data processing method.
[0129] S220, when the transverse deflection-span ratio of the suspension bridge to be evaluated is less than or equal to the transverse deflection-span ratio limit value, determine that the transverse stiffness of the suspension bridge to be evaluated meets the requirements.
[0130] The data processing method can include the following steps S110, S120, S130 and S140.
[0131] S110, determine a position-displacement mapping relationship between a plurality of positions of the stiffening beam of the suspension bridge and lateral displacements under the action of the transverse wind load. The plurality of positions are distributed along the length direction of the stiffening beam.
[0132] S120, determine a position-stress mapping relationship between the plurality of positions and stresses by the position-displacement mapping relationship and the displacement-stress mapping relationship.
[0133] S130, determining a maximum stress position point in the plurality of positions according to the position-stress mapping relationship. A stress value at the maximum stress position point is maximum.
[0134] S140, determining the transverse deflection-span ratio limit value of the stiffened beam according to an operation relationship between the maximum stress position point and the corresponding maximum stress value, an operation relationship between the maximum displacement position point and the corresponding maximum lateral displacement, and a stress limit value of the stiffened beam. A lateral displacement amount at the maximum displacement position point is maximum.
[0135] It should be noted that details not disclosed in the bridge stiffness evaluation method M200 of the embodiment are referable to details disclosed in the data processing apparatus 1000 of the above-mentioned embodiments of the present disclosure, which will not be described here.
[0136] The present disclosure also provides a readable storage medium, which stores a computer program. The computer program is executed by a processor to implement the method of any of the above-mentioned embodiments.
[0137] For the purpose of the present specification, a "readable storage medium" can be any device that can contain, store, communicate, propagate or transport a program for use by or in connection with an instruction execution system, apparatus or device. More specific examples (non-exhaustive list) of readable storage media include the following: electrical connections having one or more wires (electronic devices), portable computer disks (magnetic devices), random access memories (RAM), read-only memories (ROM), erasable programmable read-only memories (EPROM or flash memories), fiber optic devices, and portable compact disks (CDROMs).
[0138] The present disclosure also provides a computer program product. The method of the present disclosure can be implemented by software, hardware, firmware or any combination thereof, in whole or in part. When implemented by software, it can be implemented in whole or in part in the form of a computer program product. The computer program product includes one or more computer programs or instructions. When the computer program or instruction is loaded and executed, the flow or function of the present disclosure is executed in whole or in part. The computer can be a general-purpose computer, a special-purpose computer, a computer network, a network device, a user equipment, a core network device, an OAM or other programmable devices.
[0139] The computer program or instructions can be stored in or transferred from one computer-readable medium to another computer-readable medium, e.g., from one website, computer, server, or data center to another website, computer, server, or data center, through wired or wireless transmission. The computer-readable medium can be any available medium or data storage device that can be accessed by a computer, or a data storage device such as a server, data center, or the like that integrates one or more available media. The available medium can be a magnetic medium, e.g., a floppy diskette, a hard disk, or a magnetic tape; an optical medium, e.g., a digital video disc; or a semiconductor medium, e.g., a solid-state disk. The computer-readable medium can be a volatile or non-volatile storage medium, or can include both volatile and non-volatile storage media.
[0140] Those skilled in the art will appreciate that embodiments of the present disclosure can be supplied as a method, a system, or a computer program product. Thus, the present disclosure can take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present disclosure can take the form of a computer program product on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROMs, optical storage, etc.) embodying computer-readable program code.
[0141] The present disclosure is described in reference to flow diagrams and / or block diagrams of methods, apparatus (systems), and computer program products according to this disclosure. It should be understood that each flow and / or block in the flow diagrams and / or block diagrams, and combinations of flows and / or blocks in the flow diagrams and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flow diagram flow or flows and / or block diagram block or blocks.
[0142] These computer program instructions can also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means that implement the functions specified in the flow diagram flow or flows and / or block diagram block or blocks.
[0143] These computer program instructions can also be loaded into a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart and / or block diagram block or blocks.
[0144] In the description of the present specification, the description of the terms "one embodiment / way", "some embodiments / ways", "a specific example", or "some examples" and the like means that the specific features, structures, materials or characteristics described in connection with the embodiment / way or example are included in at least one embodiment / way or example of the present disclosure. In the present specification, the illustrative expressions of the above terms are not necessarily the same embodiment / way or example. Also, the specific features, structures, materials or characteristics described can be combined in any appropriate manner in any one or more embodiments / ways or examples. In addition, the person skilled in the art can combine and combine the different embodiments / ways or examples described in the present specification and the features of the different embodiments / ways or examples, without contradiction.
[0145] In addition, the terms "first", "second" are only for descriptive purposes and cannot be understood as indicating or implying relative importance or implicitly indicating the number of the technical features indicated. Therefore, the features defined with "first", "second" can explicitly or implicitly include at least one of the features. In the description of the present disclosure, the meaning of "a plurality of" is at least two, for example, two, three, etc., unless otherwise explicitly specified.
[0146] Those skilled in the art will understand that the above embodiments are only for the purpose of clearly illustrating the present disclosure, and are not intended to limit the scope of the present disclosure. Other changes or modifications can be made on the basis of the above disclosure, and these changes or modifications are still within the scope of the present disclosure.
Claims
1. A data processing apparatus, characterized by, Comprising: a processor and a memory, the memory storing a computer program, when the computer program is executed by the processor, the processor executes the following processes: determining a position-displacement mapping relationship between a plurality of positions of a stiffening girder of a suspension bridge and lateral displacements under a transverse wind load, the plurality of positions being distributed along a length direction of the stiffening girder; determining a position-stress mapping relationship between the plurality of positions and stresses through the position-displacement mapping relationship and a displacement-stress mapping relationship; determining a maximum stress position point in the plurality of positions according to the position-stress mapping relationship, a stress value at the maximum stress position point being maximum; and determining a transverse deflection-to-span ratio limit value of the stiffening girder through an operation relationship between the maximum stress position point and a corresponding maximum stress value, an operation relationship between a maximum displacement position point and a corresponding maximum lateral displacement, and a stress limit value of the stiffening girder, a lateral displacement amount at the maximum displacement position point being maximum. Determining a position-displacement mapping relationship between a plurality of positions of a stiffening girder of a suspension bridge and lateral displacements under a transverse wind load, comprising:
2. The data processing apparatus according to claim 1, characterized in that, determining a maximum horizontal component force in a plurality of horizontal component forces formed by a main cable of the suspension bridge at a plurality of positions of a stiffening girder through a suspender under the transverse wind load; and determining the position-displacement mapping relationship between the plurality of positions of the stiffening girder and the lateral displacements based on the maximum horizontal component force. Determining the position-displacement mapping relationship between the plurality of positions of the stiffening girder and the lateral displacements based on the maximum horizontal component force, comprising:
3. The data processing apparatus according to claim 2, characterized in that, determining a first mapping relationship between the plurality of positions of the stiffening girder and first displacements formed at the plurality of positions by the stiffening girder under a transverse wind force, the transverse wind force being a transverse force of the transverse wind load acting on the stiffening girder; determining a second mapping relationship between the plurality of positions of the stiffening girder and second displacements formed at the plurality of positions by the stiffening girder under the maximum horizontal component force; and superimposing the first mapping relationship and the second mapping relationship to obtain the position-displacement mapping relationship between the plurality of positions of the stiffening girder and the lateral displacements. Determining a position-stress mapping relationship between the plurality of positions and stresses through the position-displacement mapping relationship and a displacement-stress mapping relationship, comprising:
4. The data processing apparatus according to claim 1, characterized by determining a position-moment mapping relationship between the plurality of positions and bending moments through the position-displacement mapping relationship and a displacement-moment mapping relationship; and determining the position-stress mapping relationship between the plurality of positions and stresses through the position-moment mapping relationship and a moment-stress mapping relationship. Comprising:
5. The data processing apparatus according to claim 1, characterized by The maximum stress position point x max satisfies: The operation relationship between the maximum stress position point and the corresponding maximum stress value σ max satisfies: wherein F y1 is a lateral force of the lateral wind load acting on the stiffening beam, F y is a maximum horizontal component of a corresponding plurality of horizontal components of the main cable of the suspension bridge through the hanger at a plurality of positions of the stiffening beam under the lateral wind load, l is a main span of the suspension bridge, B is a width of the stiffening beam, I y is a sectional moment of inertia of the stiffening beam.
6. A bridge rigidity evaluation system characterized by comprising: the data processing apparatus of any one of claims 1-5, the data processing apparatus being used to determine a transverse deflection-to-span ratio limit value of a suspension bridge to be evaluated; and a stiffness evaluation module, configured to determine that a transverse stiffness of the suspension bridge to be evaluated meets a requirement when a transverse deflection-to-span ratio of the suspension bridge to be evaluated is less than or equal to the transverse deflection-to-span ratio limit value. Comprising:
7. A data processing method, characterized by, determining a position-displacement mapping relationship between a plurality of positions of a stiffening girder of a suspension bridge and lateral displacements under a transverse wind load, the plurality of positions being distributed along a length direction of the stiffening girder; determining a position-stress mapping relationship between the plurality of positions and stresses through the position-displacement mapping relationship and the displacement-stress mapping relationship; determining a maximum stress position point in the plurality of positions according to the position-stress mapping relationship, a stress value at the maximum stress position point being maximum; and determining a transverse deflection-to-span ratio limit value of the stiffened beam through an operation relationship between the maximum stress position point and a corresponding maximum stress value, an operation relationship between a maximum displacement position point and a corresponding maximum lateral displacement, and a stress limit value of the stiffened beam, a lateral displacement amount at the maximum displacement position point being maximum.
8. A method of evaluating the rigidity of a bridge, characterized by comprising: obtaining a transverse deflection-to-span ratio limit value of a to-be-evaluated suspension bridge through the data processing method of claim 7; and when a transverse deflection-to-span ratio of the to-be-evaluated suspension bridge is less than or equal to the transverse deflection-to-span ratio limit value, determining that a transverse stiffness of the to-be-evaluated suspension bridge meets a requirement.
9. A readable storage medium, characterized by, The readable storage medium has stored therein a computer program, which, when executed by a processor, is configured to implement the method of claim 7 or 8.
10. A computer program product, characterised in that, The computer program product comprises a computer program, which, when executed by a processor, is configured to implement at least the method of claim 7 or 8.