State analysis method and device in cable bearing bridge construction process

Abstract

The invention relates to the technical field of bridge engineering, in particular to a method and device for analyzing the state of a cable bearing bridge in the construction process, and the method comprises the following steps: based on the vertical force balance of a main cable and a sling in a balance state during bridge forming and the deformation geometrical relationship of the bridge forming state of the main cable, designing parameters according to the bridge forming state; determining a linear parameter, an unstressed length and a horizontal force of the finished bridge main cable; based on a main cable construction state deformation geometrical relationship in a construction state, main cable node stress balance, main cable unstressed length invariability, a deformation coordination relationship between a main cable and a main beam, a relationship between a subsection span and a main cable total span, and main beam vertical force balance and bending moment balance, according to bridge forming parameters and external force in a construction process, the main cable node stress balance and the main cable unstressed length invariability are determined. By determining the line shape in the main cable construction process, the problem that in the prior art, a deflection theory or a traditional discrete sling model is adopted for calculating the line shape in the cable bearing bridge construction process, and large calculation errors exist can be solved.

Description

Technical Field

[0001] The present application relates to the technical field of bridge engineering, and in particular to a method and device for analyzing the state of a cable-supported bridge during construction. Background Art

[0002] Before the emergence of the perfect finite displacement theory, suspension bridges mainly used continuous deflection theory or discrete cable models for approximate calculations. The deflection theory regarded the cable as a membrane structure and analyzed the suspension bridge as an integral structure, listing the differential equation of the main cable-main beam deformation. The basic equation of the deflection theory is a fourth-order nonlinear equation, and the solution process is complicated, usually requiring the compilation of a computer program for calculation. The analysis accuracy of the deflection theory applied to suspension bridges is very high, which is sufficient for engineering needs, but the calculation deviation is large for suspension bridges with long hanger-free areas or cable-bearing bridges during construction.

[0003] The discrete sling model cuts off the sling, takes the sling force as the unknown quantity, and the deformation coordination of the main beam and the main cable as the condition, lists the flexibility matrix, and calculates the sling force. However, there are always various assumptions when dealing with the main cable and the sling, and the complete cable nonlinearity cannot be considered.

[0004] At present, the calculation methods have made great progress. For cable-supported bridges, the finite displacement theory is generally used for calculation, mainly with the help of engineering finite element software. However, for cable-supported bridges with super-long spans, the use of finite element software usually requires the establishment of complex models, which is slow in calculation speed and low in efficiency.

[0005] During the construction of a cable-supported bridge, some cables are not installed, resulting in a long area without cables. In addition, the vertical deformation of the main beam and main cable is large, and there is strong geometric nonlinearity. Using deflection theory or traditional discrete cable models will result in large calculation errors. Summary of the invention

[0006] The present application provides a state analysis method and device during the construction process of a cable-supported bridge, which can solve the problem of large calculation errors in the prior art using deflection theory or traditional discrete sling models.

[0007] In order to achieve the above purpose, the technical solution adopted by the present invention is:

[0008] In one aspect, the present invention provides a method for analyzing the state of a cable-supported bridge during construction, comprising the following steps:

[0009] Obtain design parameters of completed bridge state;

[0010] Based on the vertical force balance of the main cable and the suspender in the equilibrium state when the bridge is completed, and the deformation geometric relationship of the main cable in the completed state, the linear parameters of the completed main cable, the stress-free length of the completed main cable and the horizontal force of the completed main cable are determined according to the design parameters of the completed state.

[0011] Based on the deformation geometric relationship of the main cable construction state during the construction state, the force balance of the main cable nodes, the unchanged stress-free length of the main cable, the deformation coordination relationship between the main cable and the main beam, the relationship between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance of the main beam, the main cable construction process line shape is determined according to the design parameters of the completed bridge state, the main cable completed bridge line shape parameters, the stress-free length of the completed main cable, the horizontal force of the completed main cable, the vertical force exerted on the main cable during the construction process, and the vertical force exerted on the main beam.

[0012] In some optional schemes, the vertical force balance of the main cable and the suspender in the equilibrium state when the bridge is completed, the deformation geometric relationship of the main cable in the bridge-completed state, and the determination of the linear parameters of the main cable in the bridge-completed state, the stress-free length of the main cable in the bridge-completed state, and the horizontal force of the main cable in the bridge-completed state according to the design parameters of the bridge-completed state include:

[0013] Based on the vertical force balance of the main cables and suspenders in the equilibrium state when the bridge is completed and the geometric relationship of the deformation of the main cables in the bridge-built state, the vertical force balance equation of the main cables and suspenders in the bridge-built state and the geometric deformation equation of the main cables in the bridge-built state are established;

[0014] Substitute the design parameters of the completed bridge state into the vertical force balance equation of the completed bridge main cable and the suspender cable and the deformation geometry equation of the completed bridge main cable state to obtain the completed bridge main cable linear parameters and the completed bridge main cable horizontal force;

[0015] The stress-free length of the main cable of the completed bridge is determined based on the linear parameters of the main cable of the completed bridge, the horizontal force of the main cable of the completed bridge, and the design parameters of the completed bridge state.

[0016] In some optional solutions, the vertical force balance equation of the main cable and the suspender of the completed bridge is:

[0017]

[0018] The deformation geometric equation of the main cable in the bridge-forming state is:

[0019]

[0020] Where q is the gravity concentration of the main cable; LI0 i is the design span of the i-th main cable segment in the completed bridge state, N is the number of designed suspenders; T0 i is the design cable force of the ith cable in the completed bridge state; C0 i is the linear parameter of the i-th completed bridge; H0 is the horizontal force of the main cable of the completed bridge; CL is the value of the right main tower being higher than the left main tower; f is the design rise of the main cable of the cable-supported bridge.

[0021] In some optional solutions, the method of determining the stress-free length of the main cable of the completed bridge according to the line shape parameters of the main cable of the completed bridge, the horizontal force of the main cable of the completed bridge, and the design parameters of the completed bridge state includes:

[0022] The main cable bridge line shape parameters, the horizontal force of the main cable bridge and the design parameters of the bridge state are substituted into the main cable stress-free length calculation formula to obtain the stress-free length of the main cable bridge.

[0023] In some optional solutions, the main cable stress-free length calculation formula is:

[0024]

[0025] Among them, S0 i is the stress-free length of the i-th main cable segment under the completed bridge state, E p is the elastic modulus of the main cable, A p Main cable cross-sectional area.

[0026] In some optional schemes, when the design parameters of the completed bridge state are substituted into the vertical force balance equations of the completed main cables and suspenders and the deformation geometric equations of the completed main cables state, the completed main cable linear parameters and the horizontal forces of the completed main cables are obtained, and the Newton-Raphson iteration method is used to solve them.

[0027] In some optional schemes, the main cable construction state deformation geometric relationship, main cable node force balance, main cable stress-free length unchanged, main cable and main beam deformation coordination relationship, segmented span and main cable total span relationship and main beam vertical force balance and bending moment balance, according to the bridge state design parameters, main cable bridge line shape parameters, bridge main cable stress-free length, bridge main cable horizontal force, the main cable vertical force and the main beam vertical force during construction process to determine the main cable construction process line shape, including:

[0028] Based on the deformation geometric relationship of the main cable construction state, the force balance of the main cable node, the invariant stress-free length of the main cable, the deformation coordination relationship between the main cable and the main beam, the relationship between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance of the main beam, the deformation geometric equation of the main cable construction state, the force balance equation of the main cable node, the invariant stress-free length equation of the main cable, the deformation coordination equation of the main cable and the main beam, the relationship equation between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance equation of the main beam are established;

[0029] The design parameters of the completed bridge state, the line shape parameters of the main cable in the completed bridge, the stress-free length of the completed main cable, the horizontal force of the completed main cable, the vertical force on the main cable during the construction process, and the vertical force on the main beam are introduced into the deformation geometry equation of the main cable in the construction state, the force balance equation of the main cable node, the stress-free length invariance equation of the main cable, the deformation coordination equation of the main cable and the main beam, the relationship equation between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance equation of the main beam;

[0030] Solve the deformation geometry equation of the main cable construction state, the force balance equation of the main cable node, the stress-free length invariant equation of the main cable, the deformation coordination equation of the main cable and the main beam, the relationship equation between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance equation of the main beam to obtain the main cable construction process line shape.

[0031] In some optional solutions, the main cable construction state deformation geometric equation is:

[0032]

[0033] The force balance equation of the main cable node is:

[0034]

[0035] The stress-free length invariant equation of the main cable is:

[0036]

[0037] The deformation coordination equation of the main cable and the main beam is:

[0038]

[0039] The relationship equation between the segment span and the total span of the main cable is:

[0040]

[0041] The vertical force balance and bending moment balance equations of the main beam are:

[0042]

[0043] Where q is the gravity concentration of the main cable; H i is the vertical coordinate of the i-th main cable suspension cable clamp position under construction; H is the horizontal force of the main cable during construction; LI i is the design span of the i-th main cable segment under construction, N is the number of designed slings; C i is the linear parameter of the i-th main cable construction process; T i is the internal force of the construction cable of the i-th cable in the construction state; CL is the value of the height of the right main tower compared to the left main tower; R i is the vertical force borne by the i-th originally designed sling position on the main cable during the construction process; NZ is the number of slings corresponding to the uninstalled main beam on the left; NY is the number of slings corresponding to the uninstalled main beam on the right; S i is the stress-free length of the i-th main cable segment under construction; E p is the elastic modulus of the main cable, A pis the cross-sectional area of ​​the main cable; NT is the number of vertical loads borne on the main beam; L is the span of the main cable in the middle span; E is the elastic modulus of the main beam; I is the bending stiffness of the main beam; D is the first rotation and translation parameter after the main beam is deformed, and B is the second rotation and translation parameter after the main beam is deformed; H j+NZ H0 is the vertical coordinate of the position of the j+NZth main cable suspension cable clamp under construction; j+NZ is the vertical coordinate of the position of the j+NZth main cable hanger clip in the completed bridge state; PT i is the vertical force on the main beam at the i-th cable in the construction state; ξT i is the distance from the ith external load to the left main tower; T0 i is the design cable force of the ith cable in the completed bridge state; ξj+NZ is the longitudinal distance from the j+NZth main cable node to the left main tower; ξi+NZ is the longitudinal distance from the i+NZth main cable node to the left main tower; H() is the Heaviside function.

[0044] In some optional schemes, when solving the deformation geometry equation of the main cable construction state, the stress-free length invariant equation of the main cable, the deformation coordination equation of the main cable and the main beam, the relationship equation between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance equations of the main beam, the Newton-Raphson iteration method is used.

[0045] On the other hand, the present invention also provides a state analysis device during the construction of a cable-supported bridge, comprising:

[0046] A design parameter acquisition module, which is used to obtain the design parameters of the completed bridge state;

[0047] The completed bridge parameter acquisition module is used to determine the completed main cable linear parameters, the unstressed length of the completed main cable and the horizontal force of the completed main cable based on the vertical force balance of the main cable and the suspension cable in the equilibrium state when the bridge is completed, the deformation geometric relationship of the main cable in the completed bridge state, and the completed bridge state design parameters;

[0048] The construction line shape determination module is used to determine the line shape of the main cable construction process based on the deformation geometric relationship of the main cable construction state, the force balance of the main cable nodes, the unchanged stress-free length of the main cable, the deformation coordination relationship between the main cable and the main beam, the relationship between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance of the main beam. It is also used according to the design parameters of the completed bridge state, the line shape parameters of the main cable, the stress-free length of the completed main cable, the horizontal force of the completed main cable, the vertical force applied to the main cable during the construction process, and the vertical force applied to the main beam.

[0049] Compared with the prior art, the advantages of the present invention are as follows: in this scheme, firstly, based on the vertical force balance of the main cable and the suspender in the equilibrium state when the bridge is completed, and the deformation geometric relationship of the main cable in the bridge state, the main cable linear parameters, the stress-free length of the completed main cable and the horizontal force of the completed main cable are determined according to the design parameters of the completed bridge state; then, the main cable and the suspender in the construction process are discretized into cable units, and based on the deformation geometric relationship of the main cable construction state during the construction state, the force balance of the main cable nodes, the unchanged stress-free length of the main cable, the deformation coordination relationship between the main cable and the main beam, the relationship between the segmented span and the total span of the main cable, and the vertical force of the main beam, the main cable linear parameters are determined according to the design parameters of the completed bridge state. For the balance of axial force and bending moment, the equilibrium algebraic equations or other mathematical relationships can be listed, and the design parameters of the completed bridge state, the linear parameters of the main cable, the stress-free length of the completed main cable, the horizontal force of the completed main cable, the vertical force exerted on the main cable during construction, and the vertical force exerted on the main beam can be brought in to determine the linear shape of the main cable construction process. The linear shape of the main beam can be calculated quickly. Compared with the deflection theory or the traditional discrete sling model, the calculation error of this solution is smaller, and compared with the software calculation method in the prior art, the calculation efficiency is higher, and the calculation results of the finite element software can also be verified. BRIEF DESCRIPTION OF THE DRAWINGS

[0050] In order to more clearly illustrate the technical solutions in the embodiments of the present application, the drawings required for use in the description of the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present application. For ordinary technicians in this field, other drawings can be obtained based on these drawings without creative work.

[0051] Figure 1 Flow chart of a state analysis method during the construction of a cable-supported bridge in an embodiment of the present invention;

[0052] Figure 2 A schematic diagram of a cable-supported bridge during construction in an embodiment of the present invention;

[0053] Figure 3 It is a schematic diagram comparing the calculation results of the vertical deflection finite element software in the embodiment of the present invention and the method of this article;

[0054] Figure 4 Schematic diagram of the hardware structure of the device in the embodiment of the present invention. DETAILED DESCRIPTION

[0055] In order to enable those skilled in the art to better understand the solution of the present application, the technical solution in the embodiments of the present application will be clearly and completely described below in conjunction with the drawings in the embodiments of the present application. Obviously, the described embodiments are only part of the embodiments of the present application, not all of the embodiments. Based on the embodiments in the present application, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of this application.

[0056] like Figure 1 As shown, on the one hand, the present invention provides a state analysis method during the construction of a cable-supported bridge, comprising the following steps:

[0057] S1: Obtain the design parameters of the completed bridge.

[0058] In this example, the design parameters of the completed bridge state include: the gravity concentration of the main cable q; the design span LI0 of the i-th main cable segment in the completed bridge state i , the number of designed slings N; the design sling force T0 of the ith sling in the completed bridge state i .

[0059] S2: Based on the vertical force balance of the main cables and suspenders in the equilibrium state when the bridge is completed, and the deformation geometric relationship of the main cables in the completed state, the main cable line parameters, the stress-free length of the completed main cables, and the horizontal force of the completed main cables are determined according to the design parameters of the completed state.

[0060] In this embodiment, step S2 includes the following steps:

[0061] S21: Based on the vertical force balance of the main cables and suspenders in the equilibrium state when the bridge is completed and the deformation geometric relationship of the main cables in the bridge-completed state, the vertical force balance equation of the main cables and suspenders in the bridge-completed state and the deformation geometric equation of the main cables in the bridge-completed state are established.

[0062] like Figure 2 As shown, the IP point of the left tower is taken as the origin, the direction toward the right tower is the positive x direction, and upward is the positive y direction.

[0063] According to the known technology, the deformation equation of the cable can be written as:

[0064]

[0065] In the above formula: C is the key intermediate parameter, that is, the bridge line parameter. The main cable is divided into N+1 sections, so there are N+1 Cs in total, x is the longitudinal coordinate of the main beam, y is the vertical coordinate of the main cable, and H is the horizontal force of the main cable.

[0066] Based on the deformation equation of the cable, we get:

[0067] The vertical force balance equation of the main cable and suspender of the completed bridge is:

[0068] Includes equations 1 to N.

[0069] The deformation geometric equation of the main cable in the bridge-forming state is:

[0070]

[0071] Where q is the gravity concentration of the main cable; LI0i is the design span of the i-th main cable segment in the completed bridge state, N is the number of designed suspenders; T0 i is the design cable force of the ith cable in the completed bridge state; C0 i is the linear parameter of the i-th completed bridge; H0 is the horizontal force of the main cable of the completed bridge; CL is the value of the right main tower being higher than the left main tower; f is the design rise of the cable-supported bridge. In this example, the positional relationship between the right main tower and the left main tower is as follows: Figure 2 As shown, in actual application, the main tower on the right and the main tower on the left only represent a relative positional relationship.

[0072] S22: Substitute the design parameters of the completed bridge state into the vertical force balance equation of the completed bridge main cable and the suspender and the deformation geometry equation of the completed bridge main cable state to obtain the completed bridge main cable linear parameters and the completed bridge main cable horizontal force.

[0073] In this example, when the design parameters of the completed bridge state are substituted into the vertical force balance equation of the completed main cable and suspenders and the deformation geometric equation of the completed main cable state, the completed main cable linear parameters and the horizontal force of the completed main cable are obtained, and the Newton-Raphson iteration method is used to solve them.

[0074] Specifically, in the above formula, f is the design sag of the cable-supported bridge, q is the gravity concentration of the main cable, and LI0 i is the design span of the i-th main cable segment in the completed bridge state, T0 i is the design cable force of the ith cable in the completed bridge state, all of which are design known quantities.

[0075] The unknown number of the above equations is C0 i (i=1~N+1), H0, a total of N+2 equations, N+2 unknowns, can be solved by Newton-Raphson iteration method, the initial value can be calculated by assuming that the main cable is a parabola C0 i (i=1~N+1), the value of H0.

[0076] Finally, the vertical force balance equation of the main cable and the suspender cable and the deformation geometric equation of the main cable bridge state are solved to obtain: the linear parameter C0 of the i-th bridge i And the horizontal force H0 of the main cable of the completed bridge.

[0077] S23: Determine the stress-free length of the main cable of the completed bridge according to the linear parameters of the main cable of the completed bridge, the horizontal force of the main cable of the completed bridge, and the design parameters of the completed bridge state.

[0078] Step S23 specifically includes: bringing the main cable bridge line shape parameters, the horizontal force of the main cable of the completed bridge, and the design parameters of the completed bridge state into the main cable stress-free length calculation formula to obtain the stress-free length of the main cable of the completed bridge.

[0079] The calculation formula for the stress-free length of the main cable is:

[0080]

[0081] Among them, S0 i is the stress-free length of the i-th main cable segment under the completed bridge state, E p is the elastic modulus of the main cable, A p Main cable cross-sectional area.

[0082] In this example, the i-th bridge line shape parameter C0 i , the horizontal force H0 of the main cable of the completed bridge and the design span LI0 of the i-th main cable segment of the completed bridge i , into the calculation formula of the stress-free length of the main cable, and solve it using the Newton-Raphson iteration method, the solution is: the stress-free length S0 of the i-th main cable segment in the completed bridge state i .

[0083] Specifically, according to the parameters of a suspension bridge, the span of the middle span main cable L = 988m, the design rise of the cable-supported bridge f = 152m, and the elastic modulus of the main cable Ep = 2×10 11 Pa, the cross-sectional area of ​​the main cable is 0.4915504m2, the bending stiffness of the main beam is I = 5.714397m4; the elastic modulus of the main beam is E = 2.1×10 11 Pa, so the q of the main cable is 40.104kN / m, the constant load gravity concentration of the main beam is 400kN / m, there are 65 slings in total, the main cable is divided into 66 sections, and the standard spacing of the slings is 15m. Therefore, the sling force in the completed bridge state is 6000kN, CL=0.

[0084] The total stress-free length of the main cable is 1043.2579m, and the horizontal force of the main cable is 354292.1165kN. The stress-free length of the main cable and the line shape parameters of the main cable are shown in Table 1. The vertical coordinate H0 of the position of the i-th main cable sling clamp in the completed state is i As shown in Table 2.

[0085] Table 1 Bridge Parameters

[0086]

[0087]

[0088]

[0089] Table 2 Bridge Line Shape Table

[0090]

[0091]

[0092]

[0093] S3: Based on the deformation geometric relationship of the main cable construction state during the construction state, the force balance of the main cable nodes, the unchanged stress-free length of the main cable, the deformation coordination relationship between the main cable and the main beam, the relationship between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance of the main beam, the main cable construction process line shape is determined according to the design parameters of the completed bridge state, the main cable completed bridge line shape parameters, the stress-free length of the completed main cable, the horizontal force of the completed main cable, the vertical force applied to the main cable during the construction process, and the vertical force applied to the main beam.

[0094] Step S3 specifically includes:

[0095] S31: Based on the deformation geometric relationship of the main cable construction state, the force balance of the main cable nodes, the invariant stress-free length of the main cable, the deformation coordination relationship between the main cable and the main beam, the relationship between the segmented span and the total span of the main cable, and the vertical force balance and moment balance of the main beam, the deformation geometric equation of the main cable construction state, the force balance equation of the main cable nodes, the invariant stress-free length equation of the main cable, the deformation coordination equation of the main cable and the main beam, the relationship equation between the segmented span and the total span of the main cable, and the vertical force balance and moment balance equation of the main beam are established.

[0096] The deformation geometric equation of the main cable construction state is:

[0097] Includes algebraic equations from 1 to N+1.

[0098] The force balance equation of the main cable node is:

[0099] Includes N+2 to 2N+1 algebraic equations.

[0100] The stress-free length invariant equation of the main cable is:

[0101]

[0102] Including 2N+2 to 3N+1 algebraic equations.

[0103] The deformation coordination equation of the main cable and the main beam is:

[0104]

[0105] Including algebraic equations 3N+2 to 4N+2-NZ-NY.

[0106] The relationship equation between the segment span and the total span of the main cable is:

[0107] Includes 4N+3-NZ-NY algebraic equations.

[0108] The vertical force balance and bending moment balance equations of the main beam are:

[0109] Including

[0110] 4N+4-NZ-NY~4N+5-NZ-NY algebraic equations.

[0111] Where q is the gravity concentration of the main cable; H i is the vertical coordinate of the i-th main cable suspension cable clamp position under construction; H is the horizontal force of the main cable during construction; LI i is the design span of the i-th main cable segment under construction, N is the number of designed slings; C i is the linear parameter of the i-th main cable construction process; T i is the internal force of the construction cable of the i-th cable in the construction state; CL is the value of the height of the right main tower compared to the left main tower; R i is the vertical force borne by the i-th originally designed sling position on the main cable during the construction process; NZ is the number of slings corresponding to the uninstalled main beam on the left; NY is the number of slings corresponding to the uninstalled main beam on the right; S i is the stress-free length of the i-th main cable segment under construction; E p is the elastic modulus of the main cable, A p is the cross-sectional area of ​​the main cable; NT is the number of vertical loads borne on the main beam; L is the span of the main cable in the middle span; E is the elastic modulus of the main beam; I is the bending stiffness of the main beam; D is the first rotation and translation parameter after the main beam is deformed, and B is the second rotation and translation parameter after the main beam is deformed; H j+NZ H0 is the vertical coordinate of the position of the j+NZth main cable suspension cable clamp under construction; j+NZ is the vertical coordinate of the position of the j+NZth main cable hanger clip in the completed bridge state; PT i is the vertical force on the main beam at the i-th cable in the construction state; ξT i is the distance from the ith external load to the main tower on the left, i.e. the coordinate in the x direction; T0 i is the design cable force of the ith cable in the completed bridge state; ξj+NZ is the longitudinal distance from the j+NZth main cable node to the left main tower; ξi+NZ is the longitudinal distance from the i+NZth main cable node to the left main tower; H() is the Heaviside function.

[0112] S32: The design parameters of the completed bridge state, the line shape parameters of the main cable, the stress-free length of the completed main cable, the horizontal force of the completed main cable, the vertical force exerted on the main cable during the construction process, and the vertical force exerted on the main beam are substituted into the deformation geometry equation of the main cable construction state, the force balance equation of the main cable node, the invariant stress-free length equation of the main cable, the deformation coordination equation of the main cable and the main beam, the relationship equation between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance equations of the main beam.

[0113] In this example, the design parameters of the completed bridge state, the line shape parameters of the main cable, the stress-free length of the completed main cable, the horizontal force of the completed main cable, the vertical force on the main cable during construction, and the vertical force on the main beam are brought into the above equations for solution. Among the design parameters of the completed bridge state: the design cable force T0 of the i-th cable in the completed bridge state i , as the internal force T of the construction sling of the i-th sling in the construction state i The initial value of is brought in, and the design span LI0 of the i-th main cable segment in the completed bridge state is i , as the design span LI of the i-th main cable segment under construction i The initial value of is brought in; the i-th main cable bridge line shape parameter C0 i , is used as the initial value of the i-th construction line shape parameter, and the stress-free length S0 of the i-th main cable segment under the completed bridge state is i , and the stress-free length S of the i-th main cable segment under construction i The horizontal force H0 of the main cable of the completed bridge is taken as the initial value of the horizontal force of the main cable during construction. The initial values ​​of the first rotation and translation parameter D after the deformation of the main beam and the second rotation and translation parameter B after the deformation of the main beam are taken as 0.

[0114] S33: Solve the deformation geometry equation of the main cable construction state, the stress-free length invariant equation of the main cable, the deformation coordination equation of the main cable and the main beam, the relationship equation between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance equations of the main beam to obtain the main cable construction process line shape.

[0115] When solving the deformation geometry equation of the main cable construction state, the stress-free length invariant equation of the main cable, the deformation coordination equation of the main cable and the main beam, the relationship equation between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance equation of the main beam, the Newton-Raphson iteration method is used.

[0116] Finally, the internal force of the construction sling, the linear parameters of the main cable construction process, the horizontal force of the construction main cable, the vertical coordinates of the main cable sling clamp position and the construction span of the main cable segment are obtained.

[0117] The main cable construction process alignment is determined based on the main cable construction process alignment parameters, the vertical coordinates of the main cable sling clamp positions, and the construction span of the main cable segments.

[0118] Take the example in S1, NZ = 15, NY = 15, PT 1 =-1200kN,ξT 1 =299m, R i = 0. The relative initial equilibrium state can be obtained, and the line graph is compared as Figure 3The main cable deformation obtained according to the main cable construction process line shape is shown in Table 3. The maximum upward arch is calculated by the finite displacement theory software to be 8.763m, and the calculation result of this method is 8.814m, with an error of 0.58%; the maximum downward deflection is calculated by the finite displacement theory software to be -5.284m, and the calculation result of this method is -5.326m, with an error of 0.79%, indicating that the calculation method of this paper has high accuracy.

[0119] Table 3 Linear comparison table

[0120]

[0121]

[0122]

[0123] In summary, in this scheme, firstly, based on the vertical force balance of the main cable and the suspender in the equilibrium state when the bridge is completed, and the deformation geometric relationship of the main cable in the bridge state, according to the design parameters of the bridge state, the main cable bridge line parameters, the stress-free length of the main cable in the bridge and the horizontal force of the main cable in the bridge are determined; then, the main cables and suspenders in the construction process are discretized into cable units, based on the deformation geometric relationship of the main cable construction state during the construction state, the force balance of the main cable nodes, the unchanged stress-free length of the main cable, the deformation coordination relationship between the main cable and the main beam, the relationship between the segmented span and the total span of the main cable, and the vertical force balance and bending moment of the main beam. Balance, can list the equilibrium algebraic equations or other mathematical relationships, the design parameters of the completed bridge state, the linear parameters of the main cable, the stress-free length of the completed main cable, the horizontal force of the completed main cable, the vertical force exerted on the main cable during construction, and the vertical force exerted on the main beam, so as to determine the linear shape of the main cable construction process, can quickly calculate the linear shape of the main beam, compared with the use of deflection theory or traditional discrete sling model, the calculation error of this solution is smaller, compared with the software calculation method in the prior art, the calculation efficiency is higher, and the calculation results of the finite element software can also be checked.

[0124] In a second aspect, the present invention also provides a device for analyzing the state during the construction of a cable-supported bridge, comprising: a design parameter acquisition module, a completed bridge parameter acquisition module and a construction line shape determination module.

[0125] Among them, the design parameter acquisition module is used to obtain the design parameters of the completed bridge state; the completed bridge parameter acquisition module is used to determine the main cable bridge line shape parameters, the stress-free length of the completed main cable and the horizontal force of the completed main cable based on the vertical force balance of the main cable and the suspender in the equilibrium state when the bridge is completed, and the deformation geometric relationship of the main cable in the completed bridge state, according to the design parameters of the completed bridge state; the construction line shape determination module is used to determine the main cable construction process line shape based on the deformation geometric relationship of the main cable construction state, the force balance of the main cable nodes, the unchanged stress-free length of the main cable, the deformation coordination relationship between the main cable and the main beam, the relationship between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance of the main beam, according to the design parameters of the completed bridge state, the main cable bridge line shape parameters, the stress-free length of the completed main cable, the horizontal force of the completed main cable, the vertical force exerted on the main cable during the construction process, and the vertical force exerted on the main beam.

[0126] Among them, the functional implementation of each module in the state analysis device during the construction process of the above-mentioned cable-supported bridge corresponds to the various steps in the embodiment of the state analysis method during the construction process of the above-mentioned cable-supported bridge, and its functions and implementation processes will not be repeated here one by one.

[0127] On the third aspect, an embodiment of the present application provides a state analysis device during the construction process of a cable-supported bridge. The state analysis device during the construction process of a cable-supported bridge can be a personal computer (PC), a laptop computer, a server, or other device with data processing capabilities.

[0128] Reference Figure 4 , Figure 4 The hardware structure diagram of the state analysis device during the construction of the cable-supported bridge involved in the embodiment of the present application is shown in FIG. In the embodiment of the present application, the state analysis device during the construction of the cable-supported bridge may include a processor, a memory, a communication interface, and a communication bus.

[0129] The communication bus may be of any type and is used to interconnect the processor, the memory, and the communication interface.

[0130] The communication interface includes an input / output (I / O) interface, a physical interface, and a logical interface, which are used to interconnect the devices inside the state analysis device during the construction of the cable-supported bridge, and an interface used to interconnect the state analysis device with other devices (such as other computing devices or user devices) during the construction of the cable-supported bridge. The physical interface can be an Ethernet interface, a fiber optic interface, an ATM interface, etc.; the user device can be a display, a keyboard, etc.

[0131] The memory can be various types of storage media, such as random access memory (RAM), read-only memory (ROM), non-volatile RAM (NVRAM), flash memory, optical storage, hard disk, programmable ROM (PROM), erasable PROM (EPROM), electrically erasable PROM (EEPROM), etc.

[0132] The processor may be a general-purpose processor, which may call the state analysis program during the construction of the cable-supported bridge stored in the memory, and execute the state analysis method during the construction of the cable-supported bridge provided in the embodiment of the present application. For example, the general-purpose processor may be a central processing unit (CPU). The method executed when the state analysis program during the construction of the cable-supported bridge is called may refer to the various embodiments of the state analysis method during the construction of the cable-supported bridge of the present application, which will not be described in detail here.

[0133] Those skilled in the art will understand that Figure 4 The hardware structure shown in the figure does not constitute a limitation on the present application, and may include more or less components than shown in the figure, or combine certain components, or arrange the components differently.

[0134] In a fourth aspect, an embodiment of the present application also provides a computer-readable storage medium.

[0135] The computer-readable storage medium of the present application stores a state analysis program during the construction process of a cable-supported bridge, wherein when the state analysis program during the construction process of a cable-supported bridge is executed by a processor, the steps of the state analysis method during the construction process of a cable-supported bridge as described above are implemented.

[0136] Among them, the method implemented when the state analysis program is executed during the construction process of the cable-supported bridge can refer to the various embodiments of the state analysis method during the construction process of the cable-supported bridge in this application, and will not be repeated here.

[0137] It should be noted that the serial numbers of the above-mentioned embodiments of the present application are only for description and do not represent the advantages or disadvantages of the embodiments.

[0138] In the description of the specification, claims and the above-mentioned drawings of this application, the terms "including" and "having" and any variations thereof are intended to cover non-exclusive inclusion. For example, a process, method, system, product or device that includes a series of steps or units is not limited to the listed steps or units, but may optionally further include steps or units not listed, or may optionally further include other steps or units inherent to these processes, methods, products or devices. Descriptions such as "first", "second" and "third" are used to distinguish different objects, etc., and do not represent a sequence, nor do they limit that "first", "second" and "third" are different types.

[0139] In the description of the embodiments of this application, words such as "exemplary", "for example" or "for instance" are used to indicate examples, illustrations or explanations. Any embodiment or design solution described as "exemplary", "for example" or "for instance" in the embodiments of this application should not be construed as being more preferred or having more advantages than other embodiments or design solutions. Rather, the use of words such as "exemplary", "for example" or "for instance" is intended to present related concepts in a specific manner.

[0140] In the description of the embodiments of this application, unless otherwise specified, " / " means "or". For example, A / B may mean A or B; "and / or" in the text is merely a description of the association relationship of associated objects, indicating that there can be three relationships. For example, A and / or B may represent: A exists alone, A and B exist simultaneously, and B exists alone. In addition, in the description of the embodiments of this application, "a plurality of" means two or more than two.

[0141] In some processes described in the embodiments of this application, there are multiple operations or steps that appear in a specific order. However, it should be understood that these operations or steps may not be executed in the order in which they appear in the embodiments of this application or may be executed in parallel. The serial numbers of the operations are only used to distinguish different operations, and the serial numbers themselves do not represent any order of execution. In addition, these processes may include more or fewer operations, and these operations or steps may be executed in sequence or in parallel, and these operations or steps may be combined.

[0142] Through the description of the above embodiments, those skilled in the art can clearly understand that the above-described embodiment methods can be implemented by means of software plus a necessary general hardware platform. Of course, they can also be implemented by hardware, but in many cases the former is a better implementation method. Based on such an understanding, the technical solution of this application, in essence or the part that contributes to the prior art, can be embodied in the form of a software product. This computer software product is stored in a storage medium as described above (such as ROM / RAM, magnetic disk, optical disc), and includes several instructions to enable a terminal device to execute the methods described in the various embodiments of this application.

[0143] The above are only preferred embodiments of the present application, and are not intended to limit the patent scope of the present application. Any equivalent structure or equivalent process transformation made using the contents of the present application specification and drawings, or directly or indirectly applied in other related technical fields, are also included in the patent protection scope of the present application.

Claims

1. A method for analyzing the state of a cable-supported bridge during construction, characterized in that: The following steps are involved: Obtain design parameters of completed bridge status; Based on the vertical force balance of the main cable and the suspender in the equilibrium state when the bridge is completed, and the deformation geometric relationship of the main cable in the completed state, the linear parameters of the completed main cable, the stress-free length of the completed main cable and the horizontal force of the completed main cable are determined according to the design parameters of the completed state. Based on the deformation geometric relationship of the main cable construction state during the construction state, the force balance of the main cable nodes, the unchanged stress-free length of the main cable, the deformation coordination relationship between the main cable and the main beam, the relationship between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance of the main beam, the main cable construction process line shape is determined according to the design parameters of the completed bridge state, the main cable completed bridge line shape parameters, the stress-free length of the completed main cable, the horizontal force of the completed main cable, the vertical force exerted on the main cable during the construction process, and the vertical force exerted on the main beam.

2. The state analysis method during the construction of a cable-supported bridge according to claim 1, characterized in that: The vertical force balance of the main cable and the suspender in the equilibrium state of the bridge, the deformation geometric relationship of the main cable in the bridge state, and the determination of the linear parameters of the main cable, the stress-free length of the main cable and the horizontal force of the main cable in the bridge state according to the design parameters of the bridge state include: Based on the vertical force balance of the main cables and suspenders in the equilibrium state when the bridge is completed and the geometric relationship of the deformation of the main cables in the bridge-built state, the vertical force balance equation of the main cables and suspenders in the bridge-built state and the geometric deformation equation of the main cables in the bridge-built state are established; Substitute the design parameters of the completed bridge state into the vertical force balance equation of the completed bridge main cable and the suspender cable and the deformation geometry equation of the completed bridge main cable state to obtain the completed bridge main cable linear parameters and the completed bridge main cable horizontal force; The stress-free length of the main cable of the completed bridge is determined based on the linear parameters of the main cable of the completed bridge, the horizontal force of the main cable of the completed bridge, and the design parameters of the completed bridge state.

3. The state analysis method during the construction of a cable-supported bridge according to claim 2, characterized in that: The vertical force balance equation of the main cable and suspender of the completed bridge is: The deformation geometric equation of the main cable in the bridge-forming state is: Where q is the gravity concentration of the main cable; LI0 i is the design span of the i-th main cable segment in the completed bridge state, N is the number of designed suspenders; T0 i is the design cable force of the ith cable in the completed bridge state; C0 i is the linear parameter of the i-th completed bridge; H0 is the horizontal force of the main cable of the completed bridge; CL is the value of the right main tower being higher than the left main tower; f is the design rise of the main cable of the cable-supported bridge.

4. The state analysis method during the construction of a cable-supported bridge according to claim 3, characterized in that: Determining the stress-free length of the main cable of the completed bridge according to the linear parameters of the main cable of the completed bridge, the horizontal force of the main cable of the completed bridge, and the design parameters of the completed bridge state includes: The main cable bridge line shape parameters, the horizontal force of the main cable bridge and the design parameters of the bridge state are substituted into the main cable stress-free length calculation formula to obtain the stress-free length of the main cable bridge.

5. The state analysis method during the construction of a cable-supported bridge according to claim 4, characterized in that: The calculation formula for the stress-free length of the main cable is: Among them, S0 i is the stress-free length of the i-th main cable segment under the completed bridge state, E p is the elastic modulus of the main cable, A p Main cable cross-sectional area.

6. The state analysis method during the construction of a cable-supported bridge according to claim 1, characterized in that: When the design parameters of the completed bridge state are substituted into the vertical force balance equation of the completed main cable and suspenders and the deformation geometric equation of the completed main cable state, the completed main cable linear parameters and the completed main cable horizontal force are obtained and the Newton-Raphson iteration method is used to solve them.

7. The state analysis method during the construction of a cable-supported bridge according to claim 1, characterized in that: The main cable construction state deformation geometric relationship, main cable node force balance, main cable stress-free length unchanged, main cable and main beam deformation coordination relationship, segment span and main cable total span relationship and main beam vertical force balance and bending moment balance, according to the bridge state design parameters, main cable bridge line parameters, bridge main cable stress-free length, bridge main cable horizontal force, the main cable vertical force and the main beam vertical force during the construction process to determine the main cable construction process line, including: Based on the deformation geometric relationship of the main cable construction state, the force balance of the main cable node, the invariant stress-free length of the main cable, the deformation coordination relationship between the main cable and the main beam, the relationship between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance of the main beam, the deformation geometric equation of the main cable construction state, the force balance equation of the main cable node, the invariant stress-free length equation of the main cable, the deformation coordination equation of the main cable and the main beam, the relationship equation between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance equation of the main beam are established; The design parameters of the completed bridge state, the line shape parameters of the main cable in the completed bridge, the stress-free length of the completed main cable, the horizontal force of the completed main cable, the vertical force on the main cable during the construction process, and the vertical force on the main beam are introduced into the deformation geometry equation of the main cable in the construction state, the force balance equation of the main cable node, the stress-free length invariance equation of the main cable, the deformation coordination equation of the main cable and the main beam, the relationship equation between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance equation of the main beam; Solve the deformation geometry equation of the main cable construction state, the force balance equation of the main cable node, the stress-free length invariant equation of the main cable, the deformation coordination equation of the main cable and the main beam, the relationship equation between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance equation of the main beam to obtain the main cable construction process line shape.

8. The state analysis method during the construction of a cable-supported bridge according to claim 7, characterized in that: The deformation geometric equation of the main cable construction state is: The force balance equation of the main cable node is: The stress-free length invariant equation of the main cable is: The deformation coordination equation of the main cable and the main beam is: The relationship equation between the segment span and the total span of the main cable is: The vertical force balance and bending moment balance equations of the main beam are: Where q is the gravity concentration of the main cable; H i is the vertical coordinate of the i-th main cable suspension cable clamp position under construction; H is the horizontal force of the main cable during construction; LI i is the design span of the i-th main cable segment under construction, N is the number of designed slings; C i is the linear parameter of the i-th main cable construction process; T i is the internal force of the construction cable of the i-th cable in the construction state; CL is the value of the height of the right main tower compared to the left main tower; R i is the vertical force borne by the i-th originally designed sling position on the main cable during the construction process; NZ is the number of slings corresponding to the uninstalled main beam on the left; NY is the number of slings corresponding to the uninstalled main beam on the right; S i is the stress-free length of the i-th main cable segment under construction; E p is the elastic modulus of the main cable, A p is the cross-sectional area of ​​the main cable; NT is the number of vertical loads borne on the main beam; L is the span of the main cable in the middle span; E is the elastic modulus of the main beam; I is the bending stiffness of the main beam; D is the first rotation and translation parameter after the main beam is deformed, and B is the second rotation and translation parameter after the main beam is deformed; H j+NZ H0 is the vertical coordinate of the position of the j+NZth main cable suspension cable clamp under construction; j+NZ is the vertical coordinate of the position of the j+NZth main cable hanger clip in the completed bridge state; PT i is the vertical force on the main beam at the i-th cable in the construction state; ξT i is the distance from the ith external load to the left main tower; T0 i is the design cable force of the ith cable in the completed bridge state; ξj+NZ is the longitudinal distance from the j+NZth main cable node to the left main tower; ξi+NZ is the longitudinal distance from the i+NZth main cable node to the left main tower; H() is the Heaviside function.

9. The state analysis method during the construction of a cable-supported bridge according to claim 7, characterized in that: When solving the deformation geometry equation of the main cable construction state, the stress-free length invariant equation of the main cable, the deformation coordination equation of the main cable and the main beam, the relationship equation between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance equation of the main beam, the Newton-Raphson iteration method is used.

10. A device for analyzing the state of a cable-supported bridge during construction, characterized in that: include: A design parameter acquisition module, which is used to obtain the design parameters of the completed bridge state; The completed bridge parameter acquisition module is used to determine the completed main cable linear parameters, the unstressed length of the completed main cable and the horizontal force of the completed main cable based on the vertical force balance of the main cable and the suspension cable in the equilibrium state when the bridge is completed, the deformation geometric relationship of the main cable in the completed bridge state, and the completed bridge state design parameters; The construction line shape determination module is used to determine the line shape of the main cable construction process based on the deformation geometric relationship of the main cable construction state, the force balance of the main cable nodes, the unchanged stress-free length of the main cable, the deformation coordination relationship between the main cable and the main beam, the relationship between the segmented span and the total span of the main cable, and the vertical force balance and bending moment balance of the main beam. It is also used according to the design parameters of the completed bridge state, the line shape parameters of the main cable, the stress-free length of the completed main cable, the horizontal force of the completed main cable, the vertical force applied to the main cable during the construction process, and the vertical force applied to the main beam.

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