Method, device, equipment and readable storage medium for calculating actual anchor point of inclined cable
By constructing the iterative equation of the intermediate parameters, the actual anchoring point coordinates of the cable cable are calculated, and the problem of low calculation efficiency based on the existing technology based on the existing technology is solved, and the more efficient calculation process is achieved.
Patent Information
- Application Number
- CN202210557549.5
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2022-05-19
- Publication Date
- 2025-01-28
- Estimated Expiration
- 2042-05-19
AI Technical Summary
In the prior art, the actual anchor point calculation of cable-stayed cables is performed based on geometric angles, resulting in low calculation efficiency.
Through the iterative equation of the intermediate parameter, the relative relationship information and tower -ended force between the preset actual anchor point and the nominal anchor point are calculated to calculate the intermediate parameter value and calculate the actual anchor point coordinates based on the value.
Effectively improved the calculation efficiency of the actual anchor point and shortened the calculation time.
Smart Images

Figure CN114840805B_ABST
Abstract
Description
Technical Field
[0001] The present application relates to the technical field of bridge engineering, and in particular to a method, device, equipment and readable storage medium for calculating the actual anchor point of a stay cable. Background Art
[0002] In the design of cable-stayed bridges, solving the stress-free length of the cable is an important part of the cable analysis. This process is often completed in the relevant links of specific design and construction analysis; at the same time, the stress-free length of the cable is also an important basis for calculating its factory prefabricated size. At present, the elastic elongation and stress-free length of the cable are mainly solved based on the basic equation of the cable and the integral method.
[0003] Among them, taking the actual anchor point (x, y) at the tower end as the coordinate origin, the basic equation of the inclined cable is: In the formula, T is the cable force at the tower end of the cable, which can be extracted according to the calculation results of the finite element software, q is the gravity concentration of the cable, and c is the intermediate parameter, which can be calculated according to the actual anchor point coordinates; therefore, after calculating the intermediate parameter c according to the actual anchor point coordinates, the basic equation can be completely determined, and then the stress-free length of the cable can be solved according to the basic equation. It can be seen that the core problem of solving the stress-free length of the cable is to solve the actual anchor point and the intermediate parameter c.
[0004] In the related art, when designing a cable-stayed cable, generally only the nominal anchor point at the tower end and the nominal anchor point at the beam end are known. Therefore, the actual anchor point position and the stress-free length of the cable-stayed cable need to be determined based on the relative relationship between the actual anchor point and the nominal anchor point, and the tangent line of the cable-stayed cable at the actual anchor point is generally required to pass through the nominal anchor point. Therefore, when designing a cable-stayed cable, the horizontal distance between the actual anchor point at the tower end and the nominal anchor point and the vertical distance between the actual anchor point at the beam end and the nominal anchor point are usually artificially specified according to the structural requirements, and from a geometric point of view, the actual anchor point is obtained by successive iterative approximation. However, each iteration requires a lot of mathematical calculations, which results in low calculation efficiency. Summary of the invention
[0005] The present application provides a method, device, equipment and readable storage medium for calculating the actual anchor point of a cable, so as to solve the problem of low calculation efficiency caused by calculating the actual anchor point based on geometric angles in the related art.
[0006] In a first aspect, a method for calculating an actual anchor point of a stay cable is provided, comprising the following steps:
[0007] Construct iterative equations of intermediate parameters based on the basic equations of the cable, the types of known parameters, and preset boundary conditions;
[0008] Calculating the intermediate parameter value based on the relative relationship information between the preset actual anchor point and the nominal anchor point, the preset tower end cable force and the iterative equation of the intermediate parameter;
[0009] The relative relationship value between the actual anchor point and the nominal anchor point is calculated according to the intermediate parameter value;
[0010] The actual anchor point coordinates are calculated based on the relative relationship value and the relative relationship information between the preset actual anchor point and the nominal anchor point.
[0011] In some embodiments, the relative relationship information between the preset actual anchor point and the nominal anchor point includes at least one of the lateral distance value between the nominal anchor point at the beam end and the actual anchor point at the tower end, the vertical distance value between the nominal anchor point at the beam end and the actual anchor point at the tower end, the lateral distance value between the actual anchor point at the beam end and the actual anchor point at the tower end, the vertical distance value between the actual anchor point at the beam end and the actual anchor point at the tower end, the lateral distance value from the nominal anchor point at the tower end to the actual anchor point at the tower end, the vertical distance value between the actual anchor point at the tower end and the nominal anchor point at the tower end, the lateral distance value between the actual anchor point at the beam end and the nominal anchor point at the tower end, the vertical distance value between the actual anchor point at the beam end and the nominal anchor point at the tower end, the lateral distance value between the actual anchor point at the beam end and the nominal anchor point at the tower end, the vertical distance value between the actual anchor point at the beam end and the nominal anchor point at the tower end, the lateral distance value between the nominal anchor point at the tower end and the nominal anchor point at the beam end, and the vertical distance value between the nominal anchor point at the tower end and the nominal anchor point at the beam end.
[0012] In some embodiments, when the types of the known parameters include the lateral distance x1 between the actual anchor point at the beam end and the actual anchor point at the tower end and the vertical distance y1 between the actual anchor point at the beam end and the actual anchor point at the tower end, the iterative equation of the intermediate parameter c is:
[0013]
[0014]
[0015] Where T is the cable force at the tower end of the cable, and q is the gravity concentration of the cable.
[0016] In some embodiments, the preset boundary conditions are: y(0)=0, y(x1)=-y1.
[0017] In some embodiments, when the types of the known parameters include the lateral distance x0 between the nominal anchor point at the beam end and the actual anchor point at the tower end, the vertical distance y0 between the nominal anchor point at the beam end and the actual anchor point at the tower end, and the vertical distance y1 between the actual anchor point at the beam end and the actual anchor point at the tower end, the iterative equation of the intermediate parameter c is:
[0018]
[0019]
[0020] Where T is the cable force at the tower end of the cable, and q is the gravity concentration of the cable.
[0021] In some embodiments, when the types of the known parameters include the lateral distance x4 between the actual anchor point at the beam end and the nominal anchor point at the tower end, the vertical distance y4 between the actual anchor point at the beam end and the nominal anchor point at the tower end, and the lateral distance x3 from the nominal anchor point at the tower end to the actual anchor point at the tower end, the iterative equation of the intermediate parameter c is:
[0022]
[0023]
[0024] Where T is the cable force at the tower end of the cable, and q is the gravity concentration of the cable.
[0025] In some embodiments, after the step of calculating the relative relationship value between the actual anchor point and the nominal anchor point according to the intermediate parameter value, the method further includes:
[0026] The stress-free length is calculated according to the intermediate parameter value and the relative relationship value.
[0027] In a second aspect, a device for calculating an actual anchor point of a stay cable is provided, comprising:
[0028] An equation construction unit, which is used to construct an iterative equation of an intermediate parameter based on a basic equation of the cable, the type of known parameters and preset boundary conditions;
[0029] A first calculation unit, which is used to calculate the intermediate parameter value based on the relative relationship information between the preset actual anchor point and the nominal anchor point, the preset tower end cable force and the iterative equation of the intermediate parameter;
[0030] A second calculation unit, which is used to calculate the relative relationship value between the actual anchor point and the nominal anchor point according to the intermediate parameter value;
[0031] The third calculation unit is used to calculate the coordinates of the actual anchor point according to the relative relationship value and the relative relationship information between the preset actual anchor point and the nominal anchor point.
[0032] In a third aspect, a device for calculating the actual anchor point of a cable is provided, comprising: a memory and a processor, wherein the memory stores at least one instruction, and the at least one instruction is loaded and executed by the processor to implement the aforementioned method for calculating the actual anchor point of the cable.
[0033] In a fourth aspect, a computer-readable storage medium is provided, wherein the computer storage medium stores a computer program, and when the computer program is executed by a processor, the aforementioned method for calculating the actual anchor point of the inclined cable is implemented.
[0034] The beneficial effects brought about by the technical solution provided by this application include: it can effectively improve the calculation efficiency of the actual anchor point.
[0035] The present application provides a method, device, equipment and readable storage medium for calculating the actual anchor point of a cable, including constructing an iterative equation of an intermediate parameter based on the basic equation of the cable, the type of known parameters and preset boundary conditions; calculating the intermediate parameter value based on the preset relative relationship information between the actual anchor point and the nominal anchor point, the preset tower end cable force and the iterative equation of the intermediate parameter; calculating the relative relationship value between the actual anchor point and the nominal anchor point according to the intermediate parameter value; calculating the coordinates of the actual anchor point according to the relative relationship value and the preset relative relationship information between the actual anchor point and the nominal anchor point. The present application directly constructs an iterative equation of the intermediate parameter from a purely algebraic perspective, and then calculates the actual anchor point based on the iterative equation, which effectively improves the calculation convergence speed, thereby improving the calculation efficiency of the actual anchor point. BRIEF DESCRIPTION OF THE DRAWINGS
[0036] 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.
[0037] Figure 1 A schematic diagram of a flow chart of a method for calculating the actual anchor point of a stay cable provided in an embodiment of the present application;
[0038] Figure 2 A schematic diagram of the meaning of various parameters in the calculation of the inclined cable provided in the embodiment of the present application;
[0039] Figure 3 A schematic diagram of the structure of a device for calculating the actual anchor point of a stay cable provided in an embodiment of the present application;
[0040] Figure 4 A schematic diagram of the structure of a device for calculating the actual anchor point of a stay cable provided in an embodiment of the present application. DETAILED DESCRIPTION
[0041] In order to make the purpose, technical solution and advantages of the embodiments of the present application clearer, 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 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 making creative work are within the scope of protection of this application.
[0042] The embodiments of the present application provide a method, device, equipment and readable storage medium for calculating the actual anchor point of a cable, which can solve the problem of low calculation efficiency caused by calculating the actual anchor point based on geometric angles in the related art.
[0043] Figure 1 A method for calculating the actual anchor point of a stay cable provided in an embodiment of the present application comprises the following steps:
[0044] Step S10: constructing an iterative equation of the intermediate parameters based on the basic equation of the cable, the type of known parameters and the preset boundary conditions;
[0045] Furthermore, when the types of the known parameters include the lateral distance x1 between the actual anchor point at the beam end and the actual anchor point at the tower end and the vertical distance y1 between the actual anchor point at the beam end and the actual anchor point at the tower end, the iterative equation of the intermediate parameter c is:
[0046]
[0047]
[0048] Where T is the cable force at the tower end of the cable, and q is the gravity concentration of the cable.
[0049] Furthermore, the preset boundary conditions are: y(0)=0, y(x1)=-y1.
[0050] Furthermore, when the types of the known parameters include the lateral distance x0 between the nominal anchor point at the beam end and the actual anchor point at the tower end, the vertical distance y0 between the nominal anchor point at the beam end and the actual anchor point at the tower end, and the vertical distance y1 between the actual anchor point at the beam end and the actual anchor point at the tower end, the iterative equation of the intermediate parameter c is:
[0051]
[0052]
[0053] Where T is the cable force at the tower end of the cable, and q is the gravity concentration of the cable.
[0054] Furthermore, when the types of the known parameters include the lateral distance x4 between the actual anchor point at the beam end and the nominal anchor point at the tower end, the vertical distance y4 between the actual anchor point at the beam end and the nominal anchor point at the tower end, and the lateral distance x3 from the nominal anchor point at the tower end to the actual anchor point at the tower end, the iterative equation of the intermediate parameter c is:
[0055]
[0056]
[0057] Where T is the cable force at the tower end of the cable, and q is the gravity concentration of the cable.
[0058] For example, in this embodiment, see Figure 2 As shown in the figure, the curve between BC is the cable body of the inclined cable, A represents the nominal anchorage point of the tower end of the inclined cable, B represents the actual anchorage point of the tower end of the inclined cable, C represents the actual anchorage point of the beam end of the inclined cable, and D represents the nominal anchorage point of the beam end of the inclined cable. x0 is the lateral distance between the nominal anchorage point of the beam end and the actual anchorage point of the tower end; y0 is the vertical distance between the nominal anchorage point of the beam end and the actual anchorage point of the tower end; x1 is the lateral distance between the actual anchorage point of the beam end and the actual anchorage point of the tower end; y1 is the vertical distance between the actual anchorage point of the beam end and the tower end. The vertical distance between the actual anchor point at the tower end; x3 is the horizontal distance from the nominal anchor point at the tower end to the actual anchor point at the tower end; y3 is the vertical distance between the actual anchor point at the tower end and the nominal anchor point at the tower end; x4 is the horizontal distance between the actual anchor point at the beam end and the nominal anchor point at the tower end; y4 is the vertical distance between the actual anchor point at the beam end and the nominal anchor point at the tower end, l is the horizontal distance between the nominal anchor point at the tower end and the nominal anchor point at the beam end; h is the vertical distance between the nominal anchor point at the tower end and the nominal anchor point at the beam end. In the structural design, the horizontal distance from the actual anchor point at the tower end to the nominal anchor point at the tower end is known, and the vertical distance from the actual anchor point at the beam end to the nominal anchor point at the beam end is also known, that is, l, h, x0, x3, y4, y0-y1 are all known quantities, while x1, x4, y1 and y3 are all unknown quantities. It can be seen that the parameters that need to be calculated for the positioning calculation of the inclined cable include: x1, x4, y1 and y3.
[0059] When the types of known parameters include the transverse distance x1 between the actual anchor point at the beam end and the actual anchor point at the tower end and the vertical distance y1 between the actual anchor point at the beam end and the actual anchor point at the tower end, that is, when the actual anchor point at the tower end, the actual anchor point at the beam end and the cable force at the tower end are known, the actual anchor point at the tower end is taken as the coordinate origin, and the equation of the inclined cable is:
[0060]
[0061] Among them, c is the intermediate parameter
[0062] Set the default boundary conditions to: y(0) = 0, y(x1) = -y1, then we get:
[0063]
[0064] Formula (2) can be transformed into:
[0065]
[0066] Therefore, according to formula (3), the fixed point iteration formula (i.e., the iteration equation of the intermediate parameter c) can be constructed as follows:
[0067]
[0068]
[0069] For the value of c, we can use |(c n+1 -c n ) / c n |<10 -10 When , stop the iteration and take c n+1 As the intermediate parameter c.
[0070] When the types of known parameters include the lateral distance x0 between the nominal anchor point at the beam end and the actual anchor point at the tower end, the vertical distance y0 between the nominal anchor point at the beam end and the actual anchor point at the tower end, and the vertical distance y1 between the actual anchor point at the beam end and the actual anchor point at the tower end, that is, when the actual anchor point at the tower end, the nominal anchor point at the beam end, and the cable force at the tower end are known, the tangent of the actual anchor point at the beam end passes through the actual anchor point at the tower end, then combined with the boundary condition: y(x1)=-y1, it can be obtained:
[0071]
[0072] By transforming equation (6) and eliminating x1, we can obtain:
[0073]
[0074] Therefore, according to formula (7), the fixed point iteration formula (i.e., the iteration equation of the intermediate parameter c) can be constructed as follows:
[0075]
[0076]
[0077] Similarly, for the value of c, we can use |(c n+1 -c n ) / c n |<10 -10 When , stop the iteration and take c n+1 As the intermediate parameter c.
[0078] When the types of known parameters include the transverse distance x4 between the actual anchor point at the beam end and the nominal anchor point at the tower end, the vertical distance y4 between the actual anchor point at the beam end and the nominal anchor point at the tower end, and the transverse distance x3 from the nominal anchor point at the tower end to the actual anchor point at the tower end, that is, when the actual anchor point at the beam end, the nominal anchor point at the tower end, and the cable force at the tower end are known, the boundary conditions are brought in to obtain:
[0079]
[0080] By transforming formula (10), we can get:
[0081]
[0082] Therefore, according to formula (11), the fixed point iteration formula (i.e., the iteration equation of the intermediate parameter c) can be constructed as follows:
[0083]
[0084]
[0085] Similarly, for the value of c, we can use |(c n+1 -c n ) / c n |<10 -10 When , stop the iteration and take c n+1 As the intermediate parameter c.
[0086] Step S20: Calculate the intermediate parameter value based on the relative relationship information between the preset actual anchor point and the nominal anchor point, the preset tower end cable force and the iterative equation of the intermediate parameter; wherein the relative relationship information between the preset actual anchor point and the nominal anchor point includes at least one of the lateral distance value between the nominal anchor point at the beam end and the actual anchor point at the tower end, the vertical distance value between the nominal anchor point at the beam end and the actual anchor point at the tower end, the lateral distance value between the actual anchor point at the beam end and the actual anchor point at the tower end, the vertical distance value between the actual anchor point at the beam end and the actual anchor point at the tower end, the lateral distance value from the nominal anchor point at the tower end to the actual anchor point at the tower end, the vertical distance value between the actual anchor point at the tower end and the nominal anchor point at the tower end, the lateral distance value between the actual anchor point at the beam end and the nominal anchor point at the tower end, the vertical distance value between the actual anchor point at the tower end and the nominal anchor point at the tower end, the lateral distance value between the actual anchor point at the beam end and the nominal anchor point at the tower end, the vertical distance value between the actual anchor point at the beam end and the nominal anchor point at the tower end, the lateral distance value between the actual anchor point at the beam end and the nominal anchor point at the tower end, and the vertical distance value between the nominal anchor point at the tower end and the nominal anchor point at the beam end.
[0087] Exemplarily, in this embodiment, when the relative relationship information between the preset actual anchor point and the nominal anchor point is the x1 value and the y1 value, the intermediate parameter value can be calculated according to the iterative equation (5) and the preset tower end cable force; if the relative relationship information between the preset actual anchor point and the nominal anchor point is x0, y0 and y1, the intermediate parameter value can be calculated according to the iterative equation (9) and the preset tower end cable force; and when the relative relationship information between the preset actual anchor point and the nominal anchor point is x3, x4 and y4, the intermediate parameter value can be calculated according to the iterative equation (13) and the preset tower end cable force.
[0088] Step S30: Calculating the relative relationship value between the actual anchor point and the nominal anchor point according to the intermediate parameter value;
[0089] Exemplarily, in this embodiment, after the corresponding intermediate parameter value is calculated, the relative relationship value between the actual anchor point and the nominal anchor point to be solved (i.e., the actual horizontal distance value and the actual vertical distance value) can be calculated based on the intermediate parameter value, the cable force at the tower end of the inclined cable, the gravity concentration of the inclined cable, and the relative relationship information between the corresponding known actual anchor point and the nominal anchor point (such as the lateral distance l between the nominal anchor point at the tower end and the nominal anchor point at the beam end, the vertical distance h between the nominal anchor point at the tower end and the nominal anchor point at the beam end, etc.).
[0090] Step S40: Calculate the coordinates of the actual anchor point according to the relative relationship value and the relative relationship information between the preset actual anchor point and the nominal anchor point.
[0091] Furthermore, after the step of calculating the relative relationship value between the actual anchor point and the nominal anchor point according to the intermediate parameter value, the method further includes:
[0092] The stress-free length is calculated according to the intermediate parameter value and the relative relationship value.
[0093] Exemplarily, in this embodiment, the coordinates of the actual anchor point can be calculated based on the calculated relative relationship value and the relative relationship information between the preset actual anchor point and the nominal anchor point. For example, the relative relationship information between the preset actual anchor point and the nominal anchor point includes l, h, x0, x3, y4, y0, y0-y1, and the calculated relative relationship values are x1, x4, y1 and y3, then the coordinates of the actual anchor point can be calculated based on the above parameters; and then the stress-free length of the inclined cable can be calculated based on the calculated intermediate parameter value, relative relationship value, cable force at the end of the inclined cable tower, gravity concentration of the inclined cable and the corresponding known relative relationship information between the actual anchor point and the nominal anchor point. It can be seen that the embodiment of the present application directly constructs the iterative equation of the intermediate parameter from a purely algebraic perspective (that is, the iterative equation of the intermediate parameter is directly given), and then the actual anchor point is calculated based on the iterative equation, which effectively improves the calculation convergence speed, thereby improving the calculation efficiency of the actual anchor point, and is convenient for writing programs.
[0094] The following will take the calculation of the actual anchor point coordinates of the inclined cable and the stress-free length of the inclined cable as an example, with the actual anchor point of the tower end, the nominal anchor point of the beam end, and the cable force at the tower end known:
[0095] Step N10: Assume that the actual anchor point at the tower end passes through the line connecting the nominal anchor points at the beam end, and calculate the initial iteration value of the vertical distance y1 between the actual anchor point at the beam end and the actual anchor point at the tower end. Specifically, y1 is calculated according to the formula y1=y4-(h / l)x3, where l, h, x3 and y4 are all known quantities.
[0096] Step N20: according to the actual anchor point of the tower end assumed in step N10, the intermediate parameter c is calculated by an iterative method when the actual anchor point of the tower end, the nominal anchor point of the beam end and the cable force of the tower end are known, that is, the intermediate parameter c is calculated by formula (9), which is recorded as c1;
[0097] Step N30: Calculate the lateral distance x1 between the actual anchor point at the beam end and the actual anchor point at the tower end according to y1 in step N20 and the calculated intermediate parameter c1, wherein the specific calculation formula of x1 is:
[0098]
[0099] Step N40: Based on x1 calculated in step N30, an intermediate parameter c is calculated by an iterative method when the actual anchor point at the beam end, the nominal anchor point at the tower end and the cable force at the tower end are known, that is, the intermediate parameter c is calculated by using formula (13), which is recorded as c2;
[0100] Step N50: Calculate the vertical distance y3 between the actual anchor point at the tower end and the nominal anchor point at the tower end according to the actual anchor point at the beam end in step N40 and the calculated intermediate parameter c2, wherein the specific calculation formula of y3 is:
[0101]
[0102] Then substitute y3 into step N20, and repeat steps N20 to N50 until |(c n+1 -c n ) / c n |<10 -10 The calculation is stopped when , and c2 at this time is used as the intermediate parameter c to calculate the actual anchor point coordinates and stress-free length of the inclined cable. That is, the coordinates of the actual anchor point of the inclined cable can be determined according to x1 in step N30 and y3 in step N50 calculated in the last cycle. In addition, the stress-free length S0 of the inclined cable can be calculated using the following formula:
[0103]
[0104] Where E is the elastic modulus of the cable material; A is the cross-sectional area of the cable.
[0105] The following is an example to verify: The cross-sectional area of a certain inclined cable is A = 0.01828m 2 , elastic modulus E = 2 × 10 11 Pa, l = 249.7m, h = 154.07m, x3 = 1.55m, y0-y1 = 1.8m, q = 1.523kN / m; by calculating using the above method, only three cycles are required to obtain: c = 0.60799, y3 = 1.0015m, x0-x1 = 3.0587m and S0 = 287.3303m. It can be seen that the calculation speed of this embodiment is extremely fast.
[0106] See also Figure 3 As shown, the embodiment of the present application further provides a device for calculating the actual anchor point of a stay cable, comprising:
[0107] An equation construction unit, which is used to construct an iterative equation of an intermediate parameter based on a basic equation of the cable, the type of known parameters and preset boundary conditions;
[0108] A first calculation unit, which is used to calculate the intermediate parameter value based on the relative relationship information between the preset actual anchor point and the nominal anchor point, the preset tower end cable force and the iterative equation of the intermediate parameter;
[0109] A second calculation unit, which is used to calculate the relative relationship value between the actual anchor point and the nominal anchor point according to the intermediate parameter value;
[0110] The third calculation unit is used to calculate the coordinates of the actual anchor point according to the relative relationship value and the relative relationship information between the preset actual anchor point and the nominal anchor point.
[0111] It can be seen that the embodiment of the present application directly constructs the iterative equation of the intermediate parameters from a purely algebraic perspective, and then calculates the actual anchor point based on the iterative equation, which effectively improves the calculation convergence speed and thus improves the calculation efficiency of the actual anchor point.
[0112] Furthermore, the relative relationship information between the preset actual anchor point and the nominal anchor point includes at least one of the lateral distance value between the nominal anchor point at the beam end and the actual anchor point at the tower end, the vertical distance value between the nominal anchor point at the beam end and the actual anchor point at the tower end, the lateral distance value between the actual anchor point at the beam end and the actual anchor point at the tower end, the vertical distance value between the actual anchor point at the beam end and the actual anchor point at the tower end, the lateral distance value from the nominal anchor point at the tower end to the actual anchor point at the tower end, the vertical distance value between the actual anchor point at the tower end and the nominal anchor point at the tower end, the lateral distance value between the actual anchor point at the beam end and the nominal anchor point at the tower end, the vertical distance value between the actual anchor point at the beam end and the nominal anchor point at the tower end, the lateral distance value between the actual anchor point at the beam end and the nominal anchor point at the tower end, the vertical distance value between the actual anchor point at the beam end and the nominal anchor point at the tower end, the lateral distance value between the nominal anchor point at the tower end and the nominal anchor point at the beam end, and the vertical distance value between the nominal anchor point at the tower end and the nominal anchor point at the beam end.
[0113] Furthermore, when the types of the known parameters include the lateral distance x1 between the actual anchor point at the beam end and the actual anchor point at the tower end and the vertical distance y1 between the actual anchor point at the beam end and the actual anchor point at the tower end, the iterative equation of the intermediate parameter c is:
[0114]
[0115]
[0116] Where T is the cable force at the tower end of the cable, and q is the gravity concentration of the cable.
[0117] Furthermore, the preset boundary conditions are: y(0)=0, y(x1)=-y1.
[0118] Furthermore, when the types of the known parameters include the lateral distance x0 between the nominal anchor point at the beam end and the actual anchor point at the tower end, the vertical distance y0 between the nominal anchor point at the beam end and the actual anchor point at the tower end, and the vertical distance y1 between the actual anchor point at the beam end and the actual anchor point at the tower end, the iterative equation of the intermediate parameter c is:
[0119]
[0120]
[0121] Where T is the cable force at the tower end of the cable, and q is the gravity concentration of the cable.
[0122] Furthermore, when the types of the known parameters include the lateral distance x4 between the actual anchor point at the beam end and the nominal anchor point at the tower end, the vertical distance y4 between the actual anchor point at the beam end and the nominal anchor point at the tower end, and the lateral distance x3 from the nominal anchor point at the tower end to the actual anchor point at the tower end, the iterative equation of the intermediate parameter c is:
[0123]
[0124]
[0125] Where T is the cable force at the tower end of the cable, and q is the gravity concentration of the cable.
[0126] Furthermore, after the step of calculating the relative relationship value between the actual anchor point and the nominal anchor point according to the intermediate parameter value, the method further includes:
[0127] The stress-free length is calculated according to the intermediate parameter value and the relative relationship value.
[0128] It should be noted that those skilled in the art can clearly understand that, for the convenience and brevity of description, the specific working process of the above-described device and each unit can refer to the corresponding process in the aforementioned embodiment of the actual anchor point calculation method of the inclined cable, and will not be repeated here.
[0129] The apparatus provided in the above embodiment may be implemented in the form of a computer program. The computer program may be Figure 4 The actual anchorage points of the stay cables shown are calculated on the equipment run.
[0130] An embodiment of the present application also provides a device for calculating the actual anchor point of a cable, comprising: a memory, a processor, and a network interface connected via a system bus, wherein at least one instruction is stored in the memory, and the at least one instruction is loaded and executed by the processor to implement all or part of the steps of the aforementioned method for calculating the actual anchor point of a cable.
[0131] The network interface is used for network communication, such as sending assigned tasks, etc. Those skilled in the art will understand that Figure 4 The structure shown in the figure is only a block diagram of a part of the structure related to the solution of the present application, and does not constitute a limitation on the computer device to which the solution of the present application is applied. The specific computer device may include more or fewer components than those shown in the figure, or combine certain components, or have a different arrangement of components.
[0132] The processor may be a CPU, or other general-purpose processors, a digital signal processor (DSP), an application-specific integrated circuit (ASIC), a field programmable gate array (FPGA) or other programmable logic devices, discrete gates or transistor logic devices, discrete hardware components, etc. A general-purpose processor may be a microprocessor, or the processor may be any conventional processor, etc. The processor is the control center of the computer device, and uses various interfaces and lines to connect various parts of the entire computer device.
[0133] The memory can be used to store computer programs and / or modules. The processor realizes various functions of the computer device by running or executing the computer programs and / or modules stored in the memory and calling the data stored in the memory. The memory can mainly include a program storage area and a data storage area, wherein the program storage area can store an operating system, an application required for at least one function (such as a video playback function, an image playback function, etc.), etc.; the data storage area can store data created according to the use of the mobile phone (such as video data, image data, etc.), etc. In addition, the memory can include a high-speed random access memory, and can also include a non-volatile memory, such as a hard disk, a memory, a plug-in hard disk, a smart memory card (SmartMedia Card, SMC), a secure digital (Secure digital, SD) card, a flash card (Flash Card), at least one disk storage device, a flash memory device or other volatile solid-state storage device.
[0134] The embodiment of the present application further provides a computer-readable storage medium on which a computer program is stored. When the computer program is executed by a processor, all or part of the steps of the aforementioned method for calculating the actual anchor point of the inclined cable are implemented.
[0135] The embodiment of the present application implements all or part of the aforementioned process, and can also be completed by instructing the relevant hardware through a computer program. The computer program can be stored in a computer-readable storage medium, and the computer program can implement the steps of each of the above methods when executed by the processor. Among them, the computer program includes computer program code, and the computer program code can be in source code form, object code form, executable file or some intermediate form, etc. The computer-readable medium may include: any entity or device capable of carrying computer program code, recording medium, U disk, mobile hard disk, disk, optical disk, computer memory, read-only memory (ROM), random access memory (RAM), electric carrier signal, telecommunication signal and software distribution medium, etc. It should be noted that the content contained in the computer-readable medium can be appropriately increased or decreased according to the requirements of legislation and patent practice in the jurisdiction. For example, in some jurisdictions, according to legislation and patent practice, the computer-readable medium does not include electric carrier signals and telecommunication signals.
[0136] Those skilled in the art will appreciate that the embodiments of the present application may be provided as methods, systems, servers or computer program products. Therefore, the present application may adopt the form of a complete hardware embodiment, a complete software embodiment, or an embodiment in combination with software and hardware. Moreover, the present application may adopt the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage and optical storage, etc.) that contain computer-usable program code.
[0137] The present application is described with reference to the flowcharts and / or block diagrams of the methods, devices (systems) and computer program products according to the embodiments of the present application. It should be understood that each process and / or box in the flowchart and / or block diagram, as well as the combination of the processes and / or boxes in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor or other programmable data processing device to generate a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the processes in the flowchart and / or block diagram. Figure 1 A process or multiple processes and / or boxes Figure 1 A device that provides the functions specified in a block or multiple blocks.
[0138] It should be noted that, in this article, the terms "include", "comprises" or any other variations thereof are intended to cover non-exclusive inclusion, so that a process, method, article or system including a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such process, method, article or system. In the absence of further restrictions, an element defined by the sentence "comprises a ..." does not exclude the existence of other identical elements in the process, method, article or system including the element.
[0139] The above description is only a specific implementation of the present application, so that those skilled in the art can understand or implement the present application. Various modifications to these embodiments will be apparent to those skilled in the art, and the general principles defined herein can be implemented in other embodiments without departing from the spirit or scope of the present application. Therefore, the present application will not be limited to the embodiments shown herein, but will conform to the widest range consistent with the principles and novel features applied for herein.
Claims
1. A method for calculating the actual anchor point of a stay cable, characterized in that: The following steps are involved: Construct iterative equations of intermediate parameters based on the basic equations of the cable, the types of known parameters, and preset boundary conditions; Calculating the intermediate parameter value based on the relative relationship information between the preset actual anchor point and the nominal anchor point, the preset tower end cable force and the iterative equation of the intermediate parameter; The relative relationship value between the actual anchor point and the nominal anchor point is calculated according to the intermediate parameter value; The actual anchor point coordinates are calculated according to the relative relationship value and the relative relationship information between the preset actual anchor point and the nominal anchor point; Taking the actual anchor point (x, y) at the tower end as the coordinate origin, the basic equation of the inclined cable is: Where, T is the cable force at the tower end of the cable, which can be extracted according to the calculation results of the finite element software, q is the gravity concentration of the cable, and c is an intermediate parameter; The relative relationship information between the preset actual anchor point and the nominal anchor point includes at least one of the lateral distance value between the nominal anchor point of the beam end and the actual anchor point of the tower end, the vertical distance value between the nominal anchor point of the beam end and the actual anchor point of the tower end, the lateral distance value between the actual anchor point of the beam end and the actual anchor point of the tower end, the vertical distance value between the actual anchor point of the beam end and the actual anchor point of the tower end, the lateral distance value from the nominal anchor point of the tower end to the actual anchor point of the tower end, the vertical distance value between the actual anchor point of the tower end and the nominal anchor point of the tower end, the lateral distance value between the actual anchor point of the beam end and the nominal anchor point of the tower end, the vertical distance value between the actual anchor point of the beam end and the nominal anchor point of the tower end, the lateral distance value between the actual anchor point of the beam end and the nominal anchor point of the tower end, and the vertical distance value between the nominal anchor point of the tower end and the nominal anchor point of the beam end; When the types of the known parameters include the lateral distance x1 between the actual anchor point at the beam end and the actual anchor point at the tower end and the vertical distance y1 between the actual anchor point at the beam end and the actual anchor point at the tower end, the iterative equation of the intermediate parameter c is: Where, T is the cable force at the tower end of the cable, and q is the gravity concentration of the cable; The preset boundary conditions are: y(0)=0, y(x1)=-y1; When the types of the known parameters include the lateral distance x0 between the nominal anchor point at the beam end and the actual anchor point at the tower end, the vertical distance y0 between the nominal anchor point at the beam end and the actual anchor point at the tower end, and the vertical distance y1 between the actual anchor point at the beam end and the actual anchor point at the tower end, the iterative equation of the intermediate parameter c is: Where, T is the cable force at the tower end of the cable, and q is the gravity concentration of the cable; When the types of the known parameters include the lateral distance x4 between the actual anchor point at the beam end and the nominal anchor point at the tower end, the vertical distance y4 between the actual anchor point at the beam end and the nominal anchor point at the tower end, and the lateral distance x3 from the nominal anchor point at the tower end to the actual anchor point at the tower end, the iterative equation of the intermediate parameter c is: Where, T is the cable force at the tower end of the cable, and q is the gravity concentration of the cable; In the structural design, the lateral distance from the actual anchor point at the tower end to the nominal anchor point at the tower end is known, and the vertical distance from the actual anchor point at the beam end to the nominal anchor point at the beam end is also known, that is, l, h, x0, x3, y4, y0-y1 are all known quantities, and x1, x4, y1 and y3 are all unknown quantities. The parameters that need to be calculated for the positioning calculation of the inclined cable include: x1, x4, y1 and y3; The relative relationship value between the actual anchor point and the nominal anchor point is calculated according to the intermediate parameter value, including, after the corresponding intermediate parameter value is calculated, calculating the relative relationship value between the actual anchor point and the nominal anchor point to be solved, that is, the actual lateral distance value and the actual vertical distance value, according to the intermediate parameter value, the cable force at the end of the inclined cable tower, the gravity concentration of the inclined cable and the relative relationship information between the corresponding known actual anchor point and the nominal anchor point.
2. The method for calculating the actual anchor point of the inclined cable according to claim 1, characterized in that: After the step of calculating the relative relationship value between the actual anchor point and the nominal anchor point according to the intermediate parameter value, the method further includes: The stress-free length is calculated according to the intermediate parameter value and the relative relationship value.
3. A device for calculating the actual anchor point of a stay cable, characterized in that: include: An equation construction unit, which is used to construct an iterative equation of an intermediate parameter based on a basic equation of the cable, the type of known parameters and preset boundary conditions; A first calculation unit, which is used to calculate the intermediate parameter value based on the relative relationship information between the preset actual anchor point and the nominal anchor point, the preset tower end cable force and the iterative equation of the intermediate parameter; A second calculation unit, which is used to calculate the relative relationship value between the actual anchor point and the nominal anchor point according to the intermediate parameter value; A third calculation unit, which is used to calculate the coordinates of the actual anchor point according to the relative relationship value and the relative relationship information between the preset actual anchor point and the nominal anchor point; The equation construction unit is also used to take the actual anchor point (x, y) of the tower end as the coordinate origin. The basic equation of the inclined cable is: Where, T is the cable force at the tower end of the cable, which can be extracted according to the calculation results of the finite element software, q is the gravity concentration of the cable, and c is an intermediate parameter; The first calculation unit is further used for the relative relationship information between the preset actual anchor point and the nominal anchor point, including at least one of the lateral distance value between the nominal anchor point of the beam end and the actual anchor point of the tower end, the vertical distance value between the nominal anchor point of the beam end and the actual anchor point of the tower end, the lateral distance value between the actual anchor point of the beam end and the actual anchor point of the tower end, the vertical distance value between the actual anchor point of the beam end and the actual anchor point of the tower end, the lateral distance value from the nominal anchor point of the tower end to the actual anchor point of the tower end, the vertical distance value between the actual anchor point of the tower end and the nominal anchor point of the tower end, the lateral distance value between the actual anchor point of the beam end and the nominal anchor point of the tower end, the vertical distance value between the actual anchor point of the beam end and the nominal anchor point of the tower end, the lateral distance value between the actual anchor point of the beam end and the nominal anchor point of the tower end, the vertical distance value between the actual anchor point of the beam end and the nominal anchor point of the tower end, the lateral distance value between the nominal anchor point of the tower end and the nominal anchor point of the beam end, and the vertical distance value between the nominal anchor point of the tower end and the nominal anchor point of the beam end; The equation construction unit is also used for when the types of the known parameters include the lateral distance x1 between the actual anchor point at the beam end and the actual anchor point at the tower end and the vertical distance y1 between the actual anchor point at the beam end and the actual anchor point at the tower end, then the iterative equation of the intermediate parameter c is: Where, T is the cable force at the tower end of the cable, and q is the gravity concentration of the cable; The preset boundary conditions are: y(0)=0, y(x1)=-y1; The equation construction unit is also used for when the types of the known parameters include the lateral distance x0 between the nominal anchor point of the beam end and the actual anchor point of the tower end, the vertical distance y0 between the nominal anchor point of the beam end and the actual anchor point of the tower end, and the vertical distance y1 between the actual anchor point of the beam end and the actual anchor point of the tower end, then the iterative equation of the intermediate parameter c is: Where, T is the cable force at the tower end of the cable, and q is the gravity concentration of the cable; The equation construction unit also includes that when the types of the known parameters include the lateral distance x4 between the actual anchor point of the beam end and the nominal anchor point of the tower end, the vertical distance y4 between the actual anchor point of the beam end and the nominal anchor point of the tower end, and the lateral distance x3 from the nominal anchor point of the tower end to the actual anchor point of the tower end, the iterative equation of the intermediate parameter c is: Where, T is the cable force at the tower end of the cable, and q is the gravity concentration of the cable; In the structural design, the lateral distance from the actual anchor point at the tower end to the nominal anchor point at the tower end is known, and the vertical distance from the actual anchor point at the beam end to the nominal anchor point at the beam end is also known, that is, l, h, x0, x3, y4, y0-y1 are all known quantities, and x1, x4, y1 and y3 are all unknown quantities. The parameters that need to be calculated for the positioning calculation of the inclined cable include: x1, x4, y1 and y3; The second calculation unit is also used to calculate the relative relationship value between the actual anchor point and the nominal anchor point to be solved, that is, the actual lateral distance value and the actual vertical distance value, after calculating the corresponding intermediate parameter value, based on the intermediate parameter value, the cable force at the end of the cable tower, the gravity concentration of the cable, and the corresponding known relative relationship information between the actual anchor point and the nominal anchor point.
4. A device for calculating the actual anchor point of a stay cable, characterized in that: include: A memory and a processor, wherein the memory stores at least one instruction, and the at least one instruction is loaded and executed by the processor to implement the method for calculating the actual anchor point of the inclined cable according to claim 1 or 2.
5. A computer-readable storage medium, characterized in that: The computer storage medium stores a computer program, and when the computer program is executed by a processor, the method for calculating the actual anchor point of the inclined cable according to claim 1 or 2 is implemented.
Citation Information
Patent Citations
Method for precisely solving length of unstressed cable of cable-stayed bridge
CN101852600A
Method for designing and calculating flexible stay cable with equivalent vertical components of beam end anchoring force
CN110147603A