Method, device and equipment for calculating static deformation and internal force value of suspension bridge and medium

Abstract

The present application relates to the technical field of suspension bridge design, and particularly relates to a method, device, equipment and medium for calculating static deformation and internal force value of a suspension bridge. The method comprises the following steps: determining the distribution of internal force change value of a suspender of a target suspension bridge when an unbalanced force acts on a main span, based on basic parameters of the target suspension bridge; determining the deformation and internal force change value of the target suspension bridge, based on the distribution of internal force change value of the suspender; updating the size of the target suspension bridge and the target internal force value in the basic parameters, based on the deformation and internal force change value of the target suspension bridge; updating the unbalanced force, based on the updated size of the target suspension bridge and the target internal force value; judging whether the updated unbalanced force is less than a set threshold, and if yes, outputting the updated size of the target suspension bridge and the target internal force value; and if no, jumping to the step of determining the distribution of internal force change value of the suspender. According to the present application, the calculation efficiency of the static deformation and internal force value of the suspension bridge can be improved while maintaining good accuracy.

Description

Technical Field

[0001] The embodiments of the present invention relate to the field of suspension bridge design technology, and in particular to a method, device, equipment and medium for calculating the static deformation and internal force values ​​of a suspension bridge. Background Technology

[0002] Suspension bridges are a very important type of bridge in the development of modern bridges, with strong spanning capacity, clear force distribution, and increasingly widespread applications. In the design of suspension bridges, the selection of different macroscopic dimensions requires very in-depth calculation and analysis.

[0003] The traditional calculation method is the finite element analysis method. This method requires dividing the suspension bridge into tens of thousands of elements, which results in low computational efficiency. Furthermore, the calculation results of this method have little physical significance, and the core of the internal forces is unclear.

[0004] In addition, most existing simplified calculation methods calculate the main cable segment and main beam segment between each suspender separately. However, suspension bridges contain up to hundreds of pairs of suspenders. To calculate the deformation and internal force values ​​of a suspension bridge, hundreds of equations need to be solved simultaneously, which is a huge amount of calculation and has low efficiency.

[0005] Therefore, a new method for calculating the static deformation and internal force values ​​of suspension bridges is urgently needed. Summary of the Invention

[0006] To address the issue of low computational efficiency in existing technologies, this invention provides a method, apparatus, equipment, and medium for calculating the static deformation and internal force values ​​of suspension bridges.

[0007] In a first aspect, embodiments of the present invention provide a method for calculating the static deformation and internal force values ​​of a suspension bridge, including:

[0008] Based on the fundamental parameters of the target suspension bridge, the distribution of the variation values ​​of the internal forces in the suspenders of the target suspension bridge when unbalanced forces are applied to the main span is determined; wherein, the fundamental parameters include the dimensions of the target suspension bridge and the target internal force values;

[0009] Based on the distribution of the internal force variation values ​​of the suspender rods, the deformation and internal force variation values ​​of the target suspension bridge are determined;

[0010] Based on the deformation and internal force changes of the target suspension bridge, update the dimensions and target internal force values ​​of the target suspension bridge in the basic parameters;

[0011] The unbalanced force is updated based on the updated dimensions of the target suspension bridge and the target internal force values.

[0012] Determine whether the updated unbalanced force is less than a set threshold. If yes, output the updated target suspension bridge dimensions and target internal force values. If no, use the updated unbalanced force as the new unbalanced force, and use the updated target suspension bridge dimensions and target internal force values ​​as the new target suspension bridge dimensions and target internal force values ​​in the basic parameters. Then, jump to execute the basic parameters based on the target suspension bridge to determine the distribution of the change values ​​of the suspension cable internal forces of the target suspension bridge when the unbalanced force acts on the main span.

[0013] Secondly, embodiments of the present invention also provide a device for calculating the static deformation and internal force values ​​of a suspension bridge, comprising:

[0014] The first calculation unit is used to determine the distribution of changes in the internal forces of the hangers of the target suspension bridge when unbalanced forces are applied to the main span, based on the foundation parameters of the target suspension bridge; wherein, the foundation parameters include the dimensions of the target suspension bridge and the target internal force values;

[0015] The second calculation unit is used to determine the deformation and internal force variation of the target suspension bridge based on the distribution of the internal force variation values ​​of the suspender rod;

[0016] The first update unit is used to update the dimensions and target internal force values ​​of the target suspension bridge in the basic parameters based on the deformation and internal force change values ​​of the target suspension bridge.

[0017] The second updating unit is used to update the unbalanced force based on the updated dimensions of the target suspension bridge and the target internal force value;

[0018] The judgment unit is used to determine whether the updated unbalanced force is less than a set threshold. If so, it outputs the updated target suspension bridge size and target internal force value. If not, it uses the updated unbalanced force as the new unbalanced force, and uses the updated target suspension bridge size and target internal force value as the new target suspension bridge size and target internal force value in the basic parameters. It then jumps to execute the basic parameters based on the target suspension bridge to determine the distribution of the change value of the suspension rod internal force of the target suspension bridge when the unbalanced force acts on the main span.

[0019] Thirdly, embodiments of the present invention also provide a computing device, including a memory and a processor, wherein the memory stores a computer program, and when the processor executes the computer program, it implements the method described in any embodiment of this specification.

[0020] Fourthly, embodiments of the present invention also provide a computer-readable storage medium having a computer program stored thereon, which, when executed in a computer, causes the computer to perform the methods described in any embodiment of this specification.

[0021] This invention provides a method, apparatus, equipment, and medium for calculating the static deformation and internal force values ​​of a suspension bridge. First, based on the foundation parameters of the target suspension bridge, the distribution of changes in the internal forces in the hangers of the target suspension bridge when unbalanced forces act on the main span is determined; wherein, the foundation parameters include the dimensions of the target suspension bridge and the target internal force values; then, based on the distribution of changes in the hanger internal forces, the deformation and internal force changes of the target suspension bridge are determined; next, based on the deformation and internal force changes of the target suspension bridge, the dimensions and target internal force values ​​of the target suspension bridge in the foundation parameters are updated; and, based on... The updated target suspension bridge dimensions and target internal force values ​​are used to update the unbalanced force. Finally, it is determined whether the updated unbalanced force is less than a set threshold. If so, the updated target suspension bridge dimensions and target internal force values ​​are output; otherwise, the updated unbalanced force is used as the new unbalanced force, and the updated target suspension bridge dimensions and target internal force values ​​are used as the new target suspension bridge dimensions and target internal force values ​​in the basic parameters. The process then jumps to execute the basic parameters based on the target suspension bridge to determine the distribution of hanger internal force variations when the unbalanced force acts on the main span. This scheme significantly improves computational efficiency by transforming numerous discrete hanger internal forces into a continuous hanger internal force variation distribution curve. Furthermore, based on the hanger internal force variation distribution, the unbalanced force, target suspension bridge dimensions, and target internal force values ​​are iteratively updated until the unbalanced force is less than a set threshold, thereby improving computational accuracy. Therefore, this scheme can improve the computational efficiency of static deformation and internal force values ​​of suspension bridges while maintaining good accuracy. Attached Figure Description

[0022] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0023] Figure 1 This is a flowchart of a method for calculating the static deformation and internal force values ​​of a suspension bridge according to an embodiment of the present invention;

[0024] Figure 2 This is a schematic diagram of a suspension bridge structure provided in an embodiment of the present invention;

[0025] Figure 3 This is a schematic diagram illustrating the composition of a vertical deformation of a main cable according to an embodiment of the present invention;

[0026] Figure 4 This is a hardware architecture diagram of a computing device provided in an embodiment of the present invention;

[0027] Figure 5This is a structural diagram of a device for calculating the static deformation and internal force values ​​of a suspension bridge, provided in an embodiment of the present invention. Detailed Implementation

[0028] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are some embodiments of the present invention, but not all embodiments. All other embodiments obtained by those skilled in the art based on the embodiments of the present invention without creative effort are within the scope of protection of the present invention.

[0029] As mentioned earlier, the traditional calculation method is the finite element analysis method. This method requires dividing the suspension bridge into thousands of elements, resulting in low computational efficiency. Furthermore, the calculation results have little physical significance, and the core internal forces are not clearly defined. When comparing different design schemes for suspension bridges, it is often only possible to make a rough judgment on a few sets of data before comparing the schemes. This makes it impossible to quickly determine the impact of each parameter on the performance of the bridge system, leading to insufficient optimization in the scheme selection process.

[0030] In addition, most existing simplified calculation methods calculate the main cable segment and main beam segment between each suspender separately. However, suspension bridges contain up to hundreds of pairs of suspenders. To calculate the deformation and internal force values ​​of a suspension bridge, hundreds of equations need to be solved simultaneously, which is a huge amount of calculation and has low efficiency.

[0031] To address the aforementioned technical problems, the inventors could consider theoretically deriving the distribution law of internal forces in the suspension rods, transforming the calculation of numerous discrete internal forces into a continuous internal force distribution curve calculation, which would significantly improve computational efficiency. Furthermore, to improve calculation accuracy, a threshold value could be set based on the target accuracy. By analyzing the distribution of changes in the suspension rod internal forces, the unbalanced force, the dimensions of the target suspension bridge, and the target internal force values ​​could be cyclically updated until the unbalanced force falls below the set threshold, at which point the calculation results for the static deformation and internal force values ​​of the suspension bridge would reach the target accuracy. Therefore, this solution can improve the calculation efficiency of the static deformation and internal force values ​​of suspension bridges while maintaining good accuracy.

[0032] The following describes the specific implementation of the above concept.

[0033] Please refer to Figure 1 This invention provides a method for calculating the static deformation and internal force values ​​of a suspension bridge, the method comprising:

[0034] Step 100: Based on the foundation parameters of the target suspension bridge, determine the distribution of the change values ​​of the internal forces in the hangers of the target suspension bridge when unbalanced forces are applied to the main span; wherein, the foundation parameters include the dimensions of the target suspension bridge and the target internal force values;

[0035] Step 102: Based on the distribution of changes in the internal forces of the suspenders, determine the deformation and changes in the internal forces of the target suspension bridge;

[0036] Step 104: Based on the deformation and internal force changes of the target suspension bridge, update the dimensions and internal force values ​​of the target suspension bridge in the basic parameters;

[0037] Step 106: Update the unbalanced forces based on the updated dimensions of the target suspension bridge and the target internal force values;

[0038] Step 108: Determine whether the updated unbalanced force is less than the set threshold. If yes, output the updated target suspension bridge dimensions and target internal force values. If no, use the updated unbalanced force as the new unbalanced force, and use the updated target suspension bridge dimensions and target internal force values ​​as the new target suspension bridge dimensions and target internal force values ​​in the basic parameters. Jump to execute the basic parameters based on the target suspension bridge to determine the distribution of the change values ​​of the suspension cable internal forces of the target suspension bridge when the unbalanced force acts on the main span.

[0039] In this embodiment of the invention, firstly, based on the basic parameters of the target suspension bridge, the distribution of the change values ​​of the hanger internal forces of the target suspension bridge when an unbalanced force acts on the main span is determined; wherein, the basic parameters include the size of the target suspension bridge and the target internal force value; then, based on the distribution of the change values ​​of the hanger internal forces, the deformation and change values ​​of the target suspension bridge are determined; next, based on the deformation and change values ​​of the target suspension bridge, the size and target internal force values ​​of the target suspension bridge in the basic parameters are updated; and, based on the updated size and target internal force values ​​of the target suspension bridge, the unbalanced force is updated; finally, it is determined whether the updated unbalanced force is less than a set threshold. If so, the updated size and target internal force values ​​of the target suspension bridge are output; if not, the updated unbalanced force is used as the new unbalanced force, and the updated size and target internal force values ​​of the target suspension bridge are used as the new size and target internal force values ​​of the target suspension bridge in the basic parameters. The process then jumps to execute the determination of the distribution of the change values ​​of the hanger internal forces of the target suspension bridge when an unbalanced force acts on the main span based on the basic parameters of the target suspension bridge. This scheme greatly improves computational efficiency by transforming numerous discrete internal forces of the suspension rods into a continuous distribution curve of the internal force variation values. Furthermore, based on the distribution of the internal force variation values ​​of the suspension rods, the unbalanced force, the size of the target suspension bridge, and the target internal force values ​​are cyclically updated until the unbalanced force is less than a set threshold, thereby improving computational accuracy. Therefore, this scheme can improve the computational efficiency of static deformation and internal force values ​​of suspension bridges while maintaining good accuracy.

[0040] For step 100:

[0041] First, the structure of the suspension bridge will be explained, such as... Figure 2 As shown, K t,1 and K t,2The first and second bridge towers represent the longitudinal stiffness, respectively. The tops of the first and second towers are called tower tops. The main span, located between the first and second towers, has a span length (L) and includes the main cable, main girder, and suspenders. The curved segment between the first and second towers represents the main cable of the main span, the vertical lines below the curved segment represent the suspenders, and the horizontal lines below the suspenders represent the main girder. Additionally, the suspension bridge has two side spans: the first side span is located between u0 and u1, and the second side span is located between u2 and u3, containing only the side span's main cable. In this embodiment, it is assumed that the horizontal distance between the location of the unbalanced force (i.e., external load P0) and the first tower is r.

[0042] In this embodiment of the invention, step 100 may include steps A1-A3:

[0043] Step A1: Based on the basic parameters of the target suspension bridge, determine the first influence coefficient and the second influence coefficient; wherein, the first influence coefficient is the influence coefficient of the axial deformation of the main cable, and the second influence coefficient is the influence coefficient of the longitudinal direction of each span and each bridge tower on the deformation of the main span.

[0044] In this step, β c The first influence coefficient is calculated using the following formula:

[0045]

[0046] In the formula, j is the loop number, j = 1, 2, 3, ..., L 2,j The span of the main span, H 2,j Let w be the horizontal component of the internal force of the main cable in the main span, and let L be the dead load intensity of the main beam. θ To account for the main span calculation length of the main cable configuration, E c Main cable elastic modulus, A c This refers to the cross-sectional area of ​​the main cable.

[0047] β t The second influence coefficient can be calculated using the following formula:

[0048]

[0049] In the formula, j is the loop number, j = 1, 2, 3, ..., L 2,j The span of the main span, H 2,j Horizontal component of internal force in main span cable, K c,1 K c,2 and K c,3 These are the longitudinal stiffnesses of the main cables in the first side span, the main span, and the second side span, respectively, K. t,1 and K t,2 These are the longitudinal stiffnesses of the first and second bridge towers, respectively.

[0050] It should be noted that, in this embodiment of the invention, the dimensions of the target suspension bridge include the span and sag-to-span ratio of each span, and the target internal force values ​​include the horizontal components of the internal forces in the main cables of each span. The main cable profile can be determined based on the span and sag-to-span ratio of each span. In the first cycle, the horizontal components of the internal forces in the main cables of each span of the target suspension bridge can be calculated based on the basic parameters of the target suspension bridge. The calculation process is existing technology and will not be elaborated here. Therefore, in the first cycle, the dimensions and target internal force values ​​of the target suspension bridge are used as known basic parameters.

[0051] Step A2: Determine the first parameter based on the consistency of vertical deformation between the main cable and the main beam, the foundation parameters, the first influence coefficient, and the second influence coefficient.

[0052] In this embodiment of the invention, based on the consistent vertical deformation of the main cable and the main beam, and based on the reasonable assumption that the deformation of the suspender under unbalanced force is negligible, the first parameter can be calculated using the following formula:

[0053]

[0054] In the formula, λ, C1, C2, C3, and C4 are the first parameters, m1, m2, m3, and m4 are the second parameters, and H... 2,j The horizontal component of the internal force of the main cable, I b Let E be the moment of inertia of the main beam section, E be the elastic modulus, and β be the moment of inertia of the main beam section. t β is the second influence coefficient. c It is the first influence coefficient.

[0055] Step A3: Based on the first parameter, calculate the distribution of the internal force variation values ​​of the hangers of the target suspension bridge under the action of unbalanced forces.

[0056] In this embodiment of the invention, the distribution of the variation values ​​of the internal forces in the suspenders of the target suspension bridge is calculated using the following formula:

[0057]

[0058] In the formula, j is the loop number, j = 1, 2, 3, ..., p j (s) represents the distribution of internal force variations in the suspenders of the target suspension bridge, P j The unbalanced force is r, which is the horizontal distance between the point where the unbalanced force acts on the main span and the first bridge tower, s is the first variable, and L is the horizontal distance between the point where the unbalanced force acts on the main span and the first bridge tower. 2,j The main span is λ, and C1, C2, C3, and C4 are the first parameters.

[0059] In this embodiment, the unbalanced force P1 in the first cycle is the external load P0.

[0060] Regarding step 102:

[0061] In this embodiment of the invention, step 102 may include steps B1-B5:

[0062] Step B1: Based on the basic parameters, determine the deformation of the main cable of the main span under a unit vertical force.

[0063] In this embodiment of the invention, the deformation of the main cable in the main span under a unit vertical force can be calculated first, and then the distribution p of the force variation value in the suspender can be calculated by integration. j The deformation under (s) refers to the deformation of the main cable of the main span under unbalanced force.

[0064] Based on the theory of gravitational stiffness, the vertical deformation of the main cable under a unit vertical force can be divided into two parts: the deformation v1 directly caused by the unit vertical force and the vertical deformation v2 caused by the increase in the internal force of the main cable. (See...) Figure 3 .exist Figure 3 In this context, downward is positive and upward is negative. Under the condition that a unit vertical force acts at point s, the calculation formulas for v1 and v2 can be derived. Then, by adding v1 and v2, the deformation of the main cable of the main span under the action of a unit vertical force can be obtained.

[0065] Therefore, in this embodiment of the invention, step B1 may include:

[0066] Based on the basic parameters, the first deformation of the main cable of the main span under a unit vertical force is determined; whereby the first deformation is the vertical deformation directly caused by the unit vertical force.

[0067] Based on the basic parameters, the second deformation of the main cable under a unit vertical force is determined; wherein, the second deformation is the vertical deformation caused by the increase of the internal force of the main cable;

[0068] Based on the first and second deformations, the deformation of the main cable in the main span under a unit vertical force is determined.

[0069] In this embodiment, based on the proportional relationship between the bending moment formula of a simply supported beam and v1, the formula for calculating the first deformation v1 can be obtained as follows:

[0070]

[0071] In the formula, j is the loop number, j = 1, 2, 3, ..., L 2,j The span of the main span, H 2,j The horizontal components of the internal forces in the main cable of the main span are s, which is the first variable, and x is the second variable.

[0072] Based on the assumption that the main cable is parabolic, the formula for calculating the second deformation v2 can be given as follows:

[0073]

[0074] In the formula, j is the loop number, j = 1, 2, 3, ..., L 2,j The span of the main span, H 2,j Let s be the horizontal component of the internal forces in the main cable of the main span, with s as the first variable, x as the second variable, and β as the third variable. t β is the second influence coefficient. c It is the first influence coefficient.

[0075] Adding v1 and v2 together, we can obtain the deformation v at point s under a unit vertical force. s The calculation formula is:

[0076]

[0077] In the formula, j is the loop number, j = 1, 2, 3, ..., L 2,j The span of the main span, H 2,j Let s be the horizontal component of the internal forces in the main cable of the main span, with s as the first variable, x as the second variable, and β as the third variable. t β is the second influence coefficient. c The first influence coefficient is v1, which is the first deformation of the main cable of the main span under a unit vertical force, and v2 is the second deformation of the main cable of the main span under a unit vertical force.

[0078] Step B2: Based on the distribution of the internal force variation of the suspender and the deformation of the main cable of the main span under a unit vertical force, determine the deformation of the main cable of the main span under unbalanced force.

[0079] In this embodiment, the vertical deformation at any position x is p. j (s) The integral of the deformation at this point, i.e., v s Integrating the formula over the total length L of the main span yields the deformation v(x) of the main cable under unbalanced forces:

[0080]

[0081] Step B3: Determine the internal force variation value of the main cable in the main span based on the deformation of the main cable under unbalanced force.

[0082] Based on the relationship between deformation and the horizontal internal force of the main cable, the change value h2 of the horizontal internal force of the main cable in the main span can be obtained by the following formula:

[0083]

[0084] In the formula, j is the loop number, j = 1, 2, 3, ..., L 2,j The span of the main span, H 2,j Let s be the horizontal component of the internal forces in the main span and main cable, with s as the first variable and β as the second variable. t β is the second influence coefficient. c p is the first influence coefficient. j(s) represents the distribution of internal force variations in the suspenders of the target suspension bridge, w represents the dead load intensity of the main girder, and K represents the load intensity. c,1 and K c,3 These are the longitudinal stiffnesses of the main cables in the first and second side spans, respectively, K. t,1 and K t,2 These are the longitudinal stiffnesses of the first and second bridge towers, respectively.

[0085] Step B4: Determine the tower top deformation of each bridge tower based on the internal force change value of the main cable of the main span.

[0086] Step B5: Based on the deformation of the top of each bridge tower, determine the internal force variation value of the main cable of each side span.

[0087] In steps B4 and B5, based on the equilibrium relationship, the horizontal deformations u1 and u2 at the top of each bridge tower and the changes in horizontal internal forces h1 and h3 of the main cables in each side span can be obtained using the following formulas:

[0088]

[0089] In the formula, u1 and u2 are the tower top deformations of the first and second bridge towers, respectively; h1, h2, and h3 are the internal force changes of the main cable in the first side span, the main cable in the main span, and the main cable in the second side span, respectively; and K... t,1 and K t,2 The longitudinal stiffness of the first and second bridge towers, respectively, K c,1 and K c,3 These are the longitudinal stiffness of the main cable in the first and second side spans, respectively.

[0090] Regarding step 104:

[0091] In this embodiment of the invention, step 104 may include:

[0092] Based on the deformation of the tower tops of each bridge tower and the deformation of the main cable in the main span under unbalanced forces, the dimensions of the target suspension bridge in the foundation parameters are updated.

[0093] The target internal force values ​​of the target suspension bridge are updated based on the internal force changes of the main cable in the main span and the internal force changes of the main cables in each side span.

[0094] In this embodiment, the dimensions of the target suspension bridge include the span and sag-to-span ratio of each span, and the target internal force values ​​include the horizontal components of the internal forces in the main cables of each span. The dimensions and target internal force values ​​of the target suspension bridge can be updated using the following formula:

[0095]

[0096] In the formula, i is the span number, i = 1, 2, 3, where 1 represents the first side span, 2 represents the main span, and 3 represents the second side span; u is the tower top deformation, u0 = u3 = 0; j is the cycle number, j = 1, 2, 3...; L is the span; H is the horizontal component of the internal force of the main cable; y(x) is the vertical coordinate of the main cable; and v(x) is the deformation of the main cable of the main span under unbalanced force.

[0097] Regarding step 106:

[0098] In this embodiment of the invention, step 106 may include steps S1-S2:

[0099] Step S1: Based on the distribution of changes in the internal forces of the suspenders, the updated dimensions of the target suspension bridge, and the target internal force values, determine the vertical unbalanced force of the main cable.

[0100] In this step, the vertical unbalanced force of the main cable can be calculated using the following formula:

[0101]

[0102] Among them, T l The vertical component of the main cable at the left end point, T r The vertical component of the main cable at the right end and the change in the vertical component of the main cable at the left end are ΔT. l The change in vertical force ΔT at the right end of the main cable r The results can be obtained through the decomposition of internal forces in the main cable:

[0103]

[0104] Where, θ l Tangential inclination angle at the left end of the main cable, θ r The tangential inclination angle at the right end of the main cable can be obtained by taking the partial derivative of the updated main cable profile:

[0105]

[0106] Step S2: Update the unbalanced forces acting on the target suspension bridge based on the vertical unbalanced forces.

[0107] In this step, the unbalanced forces acting on the target suspension bridge can be updated using the following formula:

[0108]

[0109] In the formula, P j For the unbalanced force in this cycle, P c,j+1 The vertical unbalanced force on the main cable, p j (s) represents the distribution of internal force variations in the suspenders of the target suspension bridge, L i,j Let j represent the span of each loop, and j be the loop number.

[0110] Regarding step 108:

[0111] In this embodiment of the invention, it is determined whether the updated unbalanced force reaches a set threshold:

[0112]

[0113] If the conditions are met, the loop stops, and the updated target suspension bridge dimensions and target internal force values ​​obtained in step 104 of this loop are output, indicating that the calculation results have reached the target accuracy. If the conditions are not met, the updated unbalanced force in this loop is used as the new unbalanced force, and the updated target suspension bridge dimensions and target internal force values ​​are used as the new target suspension bridge dimensions and target internal force values ​​in the basic parameters. Then, the loop proceeds to step 100, and the next loop is started, repeating steps 100-108.

[0114] The invention will now be described in further detail with reference to engineering examples.

[0115] Assuming, Figure 2 The target is a suspension bridge subjected to a concentrated vehicle force P0. Given that the main span length L2 is 1080m, the ratio of the side spans to the main span is 0.36, the spans of the two side spans L1 and L3 can be obtained. The sag-to-span ratio of the main cable is 1 / 9, which can be used to calculate the horizontal component H of the internal force in each span of the main cable. The cross-sectional area of ​​a single main cable is A. c It is 0.3266m 2 The self-weight distribution w of the main cable and main girder along the longitudinal direction of the bridge is 300 kN / m, and the longitudinal stiffness K of the two bridge towers is... t,1 / 2 Both are 66000 kN / m, and the moment of inertia Ib of the main beam section is 30 m4. Assume that the concentrated force P0 is 9000 kN (approximately 30 fully loaded trucks) acting at the mid-span of the main span.

[0116] First, by executing step 100, the distribution of the internal force variation values ​​p1(s) ​​of the boom is obtained as follows:

[0117]

[0118] Substituting p1(s) ​​into step 102, in step B2, the deformation curve v(x) of the main cable of the main span under the action of all the internal forces of the suspenders can be calculated. It can be found that the maximum vertical deformation of the main span under a load of 9000kN is 0.9008m.

[0119] Proceeding to step B3, the change in horizontal internal force h2 of the main span cable is obtained as follows:

[0120] h2 = 1.4203 × 10 4 kN

[0121] Proceeding to steps B4 and B5, we obtain the tower top deformations u1 and u2 of each bridge tower and the internal force changes h1 and h3 of the main cables in the two side spans:

[0122]

[0123] Proceed to step 104 to update the main cable profile, i.e., the dimensions of the target suspension bridge and the target internal force values, and then use this information to update the unbalanced forces in step 106.

[0124] P2 = -26.5kN

[0125] Determine whether the unbalanced force P2 has reached the set threshold:

[0126]

[0127] As it is evident that the target was not met, P2 is substituted into step 100 for a second loop, resulting in the distribution of the internal force variation values ​​p2(s) of the suspenders between the main cable and the main beam in the second loop:

[0128]

[0129] Substituting the basic parameters and p2(s) into step 102, we can obtain the deformation curve v(x) of the main cable of the main span under the action of all the internal forces p2(s) of the suspenders. It can be seen that the maximum vertical deformation of the main span under the action of the unbalanced force P2 is 2.7×10-3m.

[0130] Proceeding to step B3, the internal force change value h2 of the main span cable is obtained as follows:

[0131] h2 = -43.1 kN

[0132] Proceeding to steps B4 and B5, we obtain the tower top deformations u1 and u2 for each bridge tower and the internal force changes h1 and h3 for the main cables in the two side spans:

[0133]

[0134] Proceed to step 104 to update the main cable alignment, i.e., the dimensions of the target suspension bridge and the target internal force values, and then use this information to update the unbalanced forces in step 106.

[0135] P3 = -1.02kN

[0136] After calculation:

[0137]

[0138] Therefore, the loop ends. After the second loop, step 104 updates the size of the target suspension bridge and the target internal force value, which is the final calculation result.

[0139] like Figure 4 , Figure 5 As shown, this invention provides a device for calculating the static deformation and internal force values ​​of a suspension bridge. The device can be implemented through software, hardware, or a combination of both. From a hardware perspective, such as... Figure 4 The diagram shown is a hardware architecture diagram of a computing device containing a calculation apparatus for the static deformation and internal force values ​​of a suspension bridge, as provided in an embodiment of the present invention. (Except for...) Figure 4 In addition to the processor, memory, network interface, and non-volatile memory shown, the computing device in the embodiment may also include other hardware, such as a forwarding chip responsible for processing packets. Taking software implementation as an example, such as... Figure 5 As shown, a logical device is formed by the CPU of its computing device reading the corresponding computer program from non-volatile memory into memory and running it. This embodiment provides a device for calculating the static deformation and internal force values ​​of a suspension bridge, comprising:

[0140] The first calculation unit 501 is used to determine the distribution of changes in the internal forces of the hangers of the target suspension bridge when unbalanced forces are applied to the main span, based on the foundation parameters of the target suspension bridge; wherein, the foundation parameters include the dimensions of the target suspension bridge and the target internal force values;

[0141] The second calculation unit 502 is used to determine the deformation and internal force variation of the target suspension bridge based on the distribution of the internal force variation values ​​of the suspenders;

[0142] The first update unit 503 is used to update the size and internal force value of the target suspension bridge in the basic parameters based on the deformation and internal force change value of the target suspension bridge.

[0143] The second update unit 504 is used to update the unbalanced force based on the updated size of the target suspension bridge and the target internal force value;

[0144] Judgment unit 505 is used to determine whether the updated unbalanced force is less than a set threshold. If so, it outputs the updated target suspension bridge size and target internal force value. If not, it uses the updated unbalanced force as the new unbalanced force, and uses the updated target suspension bridge size and target internal force value as the new target suspension bridge size and target internal force value in the basic parameters. It then jumps to execute the basic parameters based on the target suspension bridge to determine the distribution of the change value of the suspension rod internal force of the target suspension bridge when the unbalanced force acts on the main span.

[0145] In one embodiment of the present invention, the first computing unit 501 is configured to perform:

[0146] Based on the basic parameters of the target suspension bridge, the first influence coefficient and the second influence coefficient are determined; where the first influence coefficient is the influence coefficient of the axial deformation of the main cable, and the second influence coefficient is the influence coefficient of the longitudinal direction of each span and each bridge tower on the deformation of the main span.

[0147] Based on the consistency of vertical deformation between the main cable and the main beam, the foundation parameters, the first influence coefficient, and the second influence coefficient, the first parameter is determined.

[0148] Based on the first parameter, the distribution of the variation values ​​of the internal forces in the suspenders of the target suspension bridge under the action of unbalanced forces is calculated.

[0149] In one embodiment of the present invention, the distribution of the variation values ​​of the internal forces of the hangers of the target suspension bridge in the first calculation unit 501 is calculated using the following formula:

[0150]

[0151] In the formula, j is the loop number, j = 1, 2, 3, ..., p j (s) represents the distribution of internal force variations in the suspenders of the target suspension bridge, P j The unbalanced force is r, which is the horizontal distance between the point where the unbalanced force acts on the main span and the first bridge tower, s is the first variable, and L is the horizontal distance between the point where the unbalanced force acts on the main span and the first bridge tower. 2,j The main span is λ, and C1, C2, C3, and C4 are the first parameters.

[0152] In one embodiment of the present invention, the second computing unit 502 is configured to perform:

[0153] Based on the basic parameters, the deformation of the main cable in the main span under a unit vertical force is determined;

[0154] Based on the distribution of internal force variation in the suspenders and the deformation of the main cable in the main span under a unit vertical force, the deformation of the main cable in the main span under unbalanced force is determined.

[0155] The internal force variation value of the main cable in the main span is determined based on the deformation of the main cable under unbalanced force.

[0156] Based on the internal force variation value of the main cable in the main span, the tower top deformation of each bridge tower is determined;

[0157] Based on the deformation at the top of each bridge tower, the internal force variation value of the main cable in each side span is determined.

[0158] In one embodiment of the present invention, when the second calculation unit 502 performs the task of determining the deformation of the main span cable under a unit vertical force based on basic parameters, it is specifically used for:

[0159] Based on the basic parameters, the first deformation of the main cable of the main span under a unit vertical force is determined; whereby the first deformation is the vertical deformation directly caused by the unit vertical force.

[0160] Based on the basic parameters, the second deformation of the main cable under a unit vertical force is determined; wherein, the second deformation is the vertical deformation caused by the increase of the internal force of the main cable;

[0161] Based on the first and second deformations, the deformation of the main cable in the main span under a unit vertical force is determined.

[0162] In one embodiment of the present invention, the first update unit 503 is configured to perform:

[0163] Based on the deformation of the tower tops of each bridge tower and the deformation of the main cable in the main span under unbalanced forces, the dimensions of the target suspension bridge in the foundation parameters are updated.

[0164] The target internal force values ​​of the target suspension bridge are updated based on the internal force changes of the main cable in the main span and the internal force changes of the main cables in each side span.

[0165] In one embodiment of the present invention, the second update unit 504 is configured to perform:

[0166] Based on the distribution of changes in the internal forces of the suspenders, the updated dimensions of the target suspension bridge, and the target internal force values, the vertical unbalanced force of the main cable is determined.

[0167] Based on the vertical unbalanced force, update the unbalanced force acting on the target suspension bridge.

[0168] It is understood that the structures illustrated in the embodiments of the present invention do not constitute a specific limitation on a device for calculating the static deformation and internal force values ​​of a suspension bridge. In other embodiments of the present invention, a device for calculating the static deformation and internal force values ​​of a suspension bridge may include more or fewer components than illustrated, or combine some components, or split some components, or have different component arrangements. The illustrated components may be implemented in hardware, software, or a combination of software and hardware.

[0169] The information interaction and execution process between the modules in the above-mentioned device are based on the same concept as the method embodiment of the present invention, and the specific details can be found in the description in the method embodiment of the present invention, and will not be repeated here.

[0170] This invention also provides a computing device, including a memory and a processor. The memory stores a computer program, and when the processor executes the computer program, it implements a method for calculating the static deformation and internal force values ​​of a suspension bridge according to any embodiment of this invention.

[0171] This invention also provides a computer-readable storage medium storing a computer program, which, when executed by a processor, causes the processor to perform a method for calculating the static deformation and internal force values ​​of a suspension bridge according to any embodiment of this invention.

[0172] Specifically, a system or apparatus equipped with a storage medium may be provided, on which software program code implementing the functions of any of the embodiments described above is stored, and the computer (or CPU or MPU) of the system or apparatus may read and execute the program code stored in the storage medium.

[0173] In this case, the program code read from the storage medium can itself implement the function of any of the above embodiments, and therefore the program code and the storage medium storing the program code constitute part of the present invention.

[0174] Examples of storage media used to provide program code include floppy disks, hard disks, magneto-optical disks, optical disks (such as CD-ROM, CD-R, CD-RW, DVD-ROM, DVD-RAM, DVD-RW, DVD+RW), magnetic tapes, non-volatile memory cards, and ROMs. Alternatively, program code can be downloaded from a server computer via a communication network.

[0175] Furthermore, it should be clear that not only can the program code read by the computer be executed, but also the operating system or other components operating on the computer can be instructed based on the program code to perform some or all of the actual operations, thereby realizing the function of any of the embodiments described above.

[0176] Furthermore, it is understood that the program code read from the storage medium is written to the memory set in the expansion board inserted into the computer or to the memory set in the expansion module connected to the computer. Then, based on the instructions of the program code, the CPU or other components installed on the expansion board or expansion module execute some and all of the actual operations, thereby realizing the function of any of the above embodiments.

[0177] It should be noted that, in this document, relational terms such as "first" and "second" are used only to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus.

[0178] Those skilled in the art will understand that all or part of the steps of the above method embodiments can be implemented by hardware related to program instructions. The aforementioned program can be stored in a computer-readable storage medium. When the program is executed, it performs the steps of the above method embodiments. The aforementioned storage medium includes various media that can store program code, such as ROM, RAM, magnetic disk, or optical disk.

[0179] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and not to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features; and these modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for calculating the static deformation and internal force values ​​of a suspension bridge, characterized in that, include: Based on the fundamental parameters of the target suspension bridge, the distribution of the variation values ​​of the internal forces in the suspenders of the target suspension bridge when unbalanced forces are applied to the main span is determined; wherein, the fundamental parameters include the dimensions of the target suspension bridge and the target internal force values; Based on the distribution of the internal force variation values ​​of the suspender rods, the deformation and internal force variation values ​​of the target suspension bridge are determined; Based on the deformation and internal force changes of the target suspension bridge, update the dimensions and target internal force values ​​of the target suspension bridge in the basic parameters; The unbalanced force is updated based on the updated dimensions of the target suspension bridge and the target internal force values. Determine whether the updated unbalanced force is less than a set threshold. If yes, output the updated target suspension bridge dimensions and target internal force values. If no, use the updated unbalanced force as the new unbalanced force, and use the updated target suspension bridge dimensions and target internal force values ​​as the new target suspension bridge dimensions and target internal force values ​​in the basic parameters. Then, jump to execute the basic parameters based on the target suspension bridge to determine the distribution of the change values ​​of the suspension cable internal forces of the target suspension bridge when the unbalanced force acts on the main span. The determination of the distribution of changes in the internal forces of the suspenders of the target suspension bridge when unbalanced forces act on the main span, based on the basic parameters of the target suspension bridge, includes: Based on the basic parameters of the target suspension bridge, a first influence coefficient and a second influence coefficient are determined; wherein, the first influence coefficient is the influence coefficient of the axial deformation of the main cable, and the second influence coefficient is the influence coefficient of the longitudinal direction of each span and each bridge tower on the deformation of the main span; Based on the consistency of vertical deformation between the main cable and the main beam, the foundation parameters, the first influence coefficient, and the second influence coefficient, the first parameter is determined; Based on the first parameter, calculate the distribution of the change values ​​of the internal forces in the suspenders of the target suspension bridge under the action of unbalanced forces; The distribution of the variation values ​​of the internal forces in the suspenders of the target suspension bridge is calculated using the following formula: In the formula, j is the loop number, j=1,2,3… The distribution of internal force variations in the suspenders of the target suspension bridge. Unbalanced force Let s be the horizontal distance between the point where the unbalanced force acts on the main span and the first bridge tower, and let s be the first variable. The span of the main span, This is the first parameter.

2. The method according to claim 1, characterized in that, The determination of the deformation and internal force variation values ​​of the target suspension bridge based on the distribution of the internal force variation values ​​of the suspenders includes: Based on the aforementioned basic parameters, the deformation of the main cable in the main span under a unit vertical force is determined; Based on the distribution of the internal force variation of the suspender and the deformation of the main cable of the main span under a unit vertical force, the deformation of the main cable of the main span under unbalanced force is determined. Based on the deformation of the main span cable under unbalanced force, the internal force variation value of the main span cable is determined; Based on the internal force variation value of the main cable of the main span, the tower top deformation of each bridge tower is determined; Based on the deformation at the top of each bridge tower, the internal force variation value of the main cable in each side span is determined.

3. The method according to claim 2, characterized in that, The determination of the deformation of the main span cable under a unit vertical force based on the aforementioned basic parameters includes: Based on the aforementioned basic parameters, the first deformation of the main span cable under a unit vertical force is determined; wherein, the first deformation is the vertical deformation directly caused by the unit vertical force; Based on the aforementioned basic parameters, the second deformation of the main cable under a unit vertical force is determined; wherein, the second deformation is the vertical deformation caused by the increase of the internal force of the main cable; Based on the first deformation and the second deformation, the deformation of the main cable of the main span under a unit vertical force is determined.

4. The method according to claim 2, characterized in that, The step of updating the dimensions and target internal force values ​​of the target suspension bridge in the basic parameters based on the deformation and internal force changes of the target suspension bridge includes: Based on the deformation of the top of each bridge tower and the deformation of the main cable of the main span under unbalanced force, the dimensions of the target suspension bridge in the foundation parameters are updated. The target internal force value of the target suspension bridge is updated based on the internal force change value of the main cable of the main span and the internal force change value of the main cables of each side span.

5. The method according to claim 1, characterized in that, The process of updating the unbalanced force based on the updated dimensions of the target suspension bridge and the target internal force values ​​includes: Based on the distribution of the internal force variation values ​​of the suspender, the updated dimensions of the target suspension bridge, and the target internal force values, the vertical unbalanced force of the main cable is determined; Based on the vertical unbalanced force, update the unbalanced force acting on the main span.

6. A device for calculating the static deformation and internal force values ​​of a suspension bridge, used to implement the method as described in any one of claims 1-5, characterized in that, include: The first calculation unit is used to determine the distribution of changes in the internal forces of the hangers of the target suspension bridge when unbalanced forces are applied to the main span, based on the foundation parameters of the target suspension bridge; wherein, the foundation parameters include the dimensions of the target suspension bridge and the target internal force values; The second calculation unit is used to determine the deformation and internal force variation of the target suspension bridge based on the distribution of the internal force variation values ​​of the suspender rod; The first update unit is used to update the dimensions and target internal force values ​​of the target suspension bridge in the basic parameters based on the deformation and internal force change values ​​of the target suspension bridge. The second updating unit is used to update the unbalanced force based on the updated dimensions of the target suspension bridge and the target internal force value; The judgment unit is used to determine whether the updated unbalanced force is less than a set threshold. If so, it outputs the updated target suspension bridge size and target internal force value. If not, it uses the updated unbalanced force as the new unbalanced force, and uses the updated target suspension bridge size and target internal force value as the new target suspension bridge size and target internal force value in the basic parameters. It then jumps to execute the basic parameters based on the target suspension bridge to determine the distribution of the change value of the suspension rod internal force of the target suspension bridge when the unbalanced force acts on the main span.

7. A computing device comprising a memory and a processor, wherein the memory stores a computer program, and the processor, when executing the computer program, implements the method as described in any one of claims 1-5.

8. A computer-readable storage medium having a computer program stored thereon, which, when executed in a computer, causes the computer to perform the method of any one of claims 1-5.

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