Method and device for determining torsion center of thin-walled section, electronic equipment and storage medium

Abstract

Embodiments of the application provide a thin-walled section torsion center determination method and device, electronic equipment and storage medium, relating to the torsion center determination field, the method comprises: determining the section data of the thin-walled section to be calculated, wherein the section data comprises the height of the thin-walled section to be calculated, the width of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, the upper and lower wall thickness of the thin-walled section to be calculated, the wing plate wall thickness of the thin-walled section to be calculated, and the area of the thin-walled section to be calculated, obtaining the first parameter, the second parameter and the third parameter of the torsion center calculation algorithm based on the section data of the thin-walled section to be calculated, calculating the first ratio of the first parameter and the second parameter, and calculating the second ratio of the first ratio and the third parameter as the torsion center of the thin-walled section to be calculated, the application directly calculates the torsion center of the thin-walled section based on a simple calculation method, improving the efficiency of determining the torsion center.

Description

Technical Field

[0001] This invention relates to the field of torsion center determination, and more specifically, to a method, apparatus, electronic device, and storage medium for determining the torsion center of a thin-walled section. Background Technology

[0002] The conventional method for determining the torsional center of a rectangular thin-walled section is to first find the centroid of the section, then use the centroid as an auxiliary pole to find the auxiliary sector coordinates of the section, and then calculate the sector product of inertia based on the auxiliary sector coordinates. The ratio of the sector product of inertia to the moment of inertia is the distance from the centroid to the torsional center.

[0003] Existing calculation methods are cumbersome and prone to errors. Summary of the Invention

[0004] The purpose of this invention is to provide a method, apparatus, electronic device, and storage medium for determining the torsion center of a thin-walled section, which can improve the efficiency of determining the torsion center.

[0005] To achieve the above objectives, the technical solutions adopted in the embodiments of this application are as follows:

[0006] In a first aspect, embodiments of this application provide a method for determining the torsion center of a thin-walled section, the method comprising:

[0007] Determine the cross-sectional data of the thin-walled section to be calculated, wherein the cross-sectional data includes the height of the thin-walled section to be calculated, the width of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, the upper and lower wall thicknesses of the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, and the area of ​​the thin-walled section to be calculated.

[0008] The first and second parameters of the torsion center calculation algorithm are obtained based on the height of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, the upper and lower wall thicknesses of the thin-walled section to be calculated, the width of the thin-walled section to be calculated, and the area of ​​the thin-walled section to be calculated.

[0009] The third parameter of the torsion center calculation algorithm is obtained based on the area of ​​the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, and the upper and lower wall thicknesses of the thin-walled section to be calculated.

[0010] Calculate the first ratio of the first parameter to the second parameter;

[0011] Calculate the second ratio of the first ratio to the third parameter, and use it as the torsion center of the thin-walled section to be calculated.

[0012] In an optional implementation, the method further includes:

[0013] Calculate the sector coordinates of each node in the thin-walled section to be calculated, wherein each node constitutes the thin-walled section to be calculated;

[0014] Based on each of the aforementioned nodes, the static moment of the sector line of the thin-walled section to be calculated is determined;

[0015] The algorithm for calculating the torsion center is determined based on the sector coordinates and the static moment of the sector line.

[0016] In an optional implementation, the step of calculating the sector coordinates of each node in the thin-walled section to be calculated includes:

[0017] The thin-walled section to be calculated is divided into i segments based on each of the nodes;

[0018] Determine the distance from the i-th cross section to the zero point;

[0019] The distance from the i-th section to the zero point along the perimeter of the section;

[0020] Determine the coordinates of the first sector of the (i-1)th cross section;

[0021] Based on the first sector coordinates, the distance from the i-th section to the zero point, the distance from the i-th section to the zero point along the perimeter of the section, the area of ​​the thin-walled section to be calculated, the height of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, the upper and lower wall thicknesses of the thin-walled section to be calculated, and the width of the thin-walled section to be calculated, the second sector coordinates of the i-th section are calculated.

[0022] In an optional implementation, the first parameter of the torsion center calculation algorithm satisfies the following formula:

[0023] First parameter = Ψt b +3B(2B 2 / A+3t y / t f -t y / t b );

[0024] Ψ=H / t f +H / t b +2B / t y ;

[0025] Where H is the height of the thin-walled section to be calculated, and t f Let t be the web thickness of the thin-walled section to be calculated. b Let t be the flange wall thickness of the thin-walled section to be calculated. yLet B be the upper and lower wall thicknesses of the thin-walled section to be calculated, B be the width of the thin-walled section to be calculated, and A be the area of ​​the thin-walled section to be calculated.

[0026] In an optional implementation, the second parameter of the torsion center calculation algorithm satisfies the following formula:

[0027] Second parameter = H 2 (t b / t f +2+t f / t b )+12B 2 ) / A;

[0028] Where H is the height of the thin-walled section to be calculated, and t f Let t be the web thickness of the thin-walled section to be calculated. b Let t be the flange wall thickness of the thin-walled section to be calculated. y Let A be the upper and lower wall thicknesses of the thin-walled section to be calculated, and let A be the area of ​​the thin-walled section to be calculated.

[0029] In an optional implementation, the third parameter satisfies the following formula:

[0030] The third parameter = 2(t) b +t f )(1 / t y +3t y / t f t b );

[0031] Among them, t f Let t be the web thickness of the thin-walled section to be calculated. b Let t be the flange wall thickness of the thin-walled section to be calculated. y The upper and lower wall thicknesses are the values ​​of the thin-walled section to be calculated.

[0032] In an optional implementation, the thin-walled section to be calculated is a rectangular thin-walled section.

[0033] Secondly, embodiments of this application provide a device for determining the torsion center of a thin-walled section, the device comprising:

[0034] A determination module is used to determine the cross-sectional data of the thin-walled section to be calculated, wherein the cross-sectional data includes the height of the thin-walled section to be calculated, the width of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, the upper and lower wall thicknesses of the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, and the area of ​​the thin-walled section to be calculated.

[0035] The calculation module is used to obtain a first parameter and a second parameter for the torsion center calculation algorithm based on the height, web thickness, flange thickness, upper and lower wall thicknesses, width, and area of ​​the thin-walled section to be calculated; to obtain a third parameter for the torsion center calculation algorithm based on the area, flange thickness, web thickness, and upper and lower wall thicknesses of the thin-walled section to be calculated; to calculate a first ratio of the first parameter to the second parameter; and to calculate a second ratio of the first ratio to the third parameter, which is used as the torsion center of the thin-walled section to be calculated.

[0036] Thirdly, embodiments of this application provide an electronic device, including a memory and a processor, wherein the memory stores a computer program, and the processor executes the computer program to implement the steps of the method for determining the torsion center of a thin-walled section.

[0037] Fourthly, embodiments of this application provide a storage medium storing a computer program thereon, which, when executed by a processor, implements the steps of the method for determining the torsion center of the thin-walled section.

[0038] This application has the following beneficial effects:

[0039] This application determines the cross-sectional data of the thin-walled section to be calculated, wherein the cross-sectional data includes the height, width, web wall thickness, upper and lower wall thicknesses, flange wall thickness, and area of ​​the thin-walled section. The first and second parameters of the torsion center calculation algorithm are obtained by integrating the product. The third parameter of the torsion center calculation algorithm is obtained based on the area of ​​the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, and the upper and lower wall thicknesses of the thin-walled section to be calculated. The first ratio of the first parameter to the second parameter and the second ratio of the first ratio to the third parameter are calculated as the torsion center of the thin-walled section to be calculated. This application directly calculates the torsion center of the thin-walled section based on a simple calculation method, thereby improving the efficiency of determining the torsion center. Attached Figure Description

[0040] To more clearly illustrate the technical solutions of the embodiments of the present invention, the accompanying drawings used in the embodiments will be briefly introduced below. It should be understood that the following drawings only show some embodiments of the present invention and should not be regarded as a limitation on the scope. For those skilled in the art, other related drawings can be obtained based on these drawings without creative effort.

[0041] Figure 1 A block diagram of an electronic device provided in an embodiment of the present invention;

[0042] Figure 2 This is one of the flowcharts illustrating a method for determining the torsion center of a thin-walled section according to an embodiment of the present invention;

[0043] Figure 3 This is a schematic diagram of the thin-walled cross-section to be calculated, provided in an embodiment of the present invention;

[0044] Figure 4 This is a second schematic flowchart illustrating a method for determining the torsion center of a thin-walled section according to an embodiment of the present invention.

[0045] Figure 5 A sector coordinate diagram of the thin-walled cross section to be calculated, provided for an embodiment of the present invention;

[0046] Figure 6 This is a structural block diagram of a device for determining the torsion center of a thin-walled section, provided in an embodiment of the present invention. Detailed Implementation

[0047] 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 only some embodiments of the present invention, and not all embodiments. The components of the embodiments of the present invention described and shown in the accompanying drawings can generally be arranged and designed in various different configurations.

[0048] Therefore, the following detailed description of the embodiments of the invention provided in the accompanying drawings is not intended to limit the scope of the claimed invention, but merely to illustrate selected embodiments of the invention. All other embodiments obtained by those skilled in the art based on the embodiments of the invention without inventive effort are within the scope of protection of the invention.

[0049] It should be noted that similar labels and letters in the following figures indicate similar items. Therefore, once an item is defined in one figure, it does not need to be further defined and explained in subsequent figures.

[0050] In the description of this invention, it should be noted that if terms such as "upper," "lower," "inner," or "outer" are used to indicate the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings, or the orientation or positional relationship in which the product of this invention is usually placed, they are only for the convenience of describing this invention and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation, and therefore should not be construed as a limitation of this invention.

[0051] Furthermore, the terms "first" and "second" are used only to distinguish descriptions and should not be interpreted as indicating or implying relative importance.

[0052] In the description of this application, it should also be noted that, unless otherwise expressly specified and limited, the terms "set up," "install," "connect," and "link" should be interpreted broadly. For example, they can refer to a fixed connection, a detachable connection, or an integral connection; they can refer to a mechanical connection or an electrical connection; they can refer to a direct connection or an indirect connection through an intermediate medium; and they can refer to the internal connection of two components. Those skilled in the art can understand the specific meaning of the above terms in this application based on the specific circumstances.

[0053] Through extensive research, the inventors discovered that the conventional method for determining the torsional center of a rectangular thin-walled section is to first find the centroid of the section, then use the centroid as an auxiliary pole to calculate the auxiliary sector coordinates of the section, and finally calculate the sector product of inertia based on the auxiliary sector coordinates. The ratio of the sector product of inertia to the moment of inertia is the distance from the centroid to the torsional center. This existing calculation method is extremely cumbersome and prone to errors.

[0054] In view of the above-mentioned problems, this embodiment provides a method, apparatus, electronic device, and storage medium for determining the torsional center of a thin-walled section. This method can determine the cross-sectional data of the thin-walled section to be calculated, wherein the cross-sectional data includes the height, width, web wall thickness, upper and lower wall thicknesses, flange wall thickness, and area of ​​the thin-walled section. The first and second parameters of the torsion center calculation algorithm are obtained from the width and area of ​​the thin-walled section to be calculated. The third parameter of the torsion center calculation algorithm is obtained based on the area of ​​the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, and the upper and lower wall thicknesses of the thin-walled section to be calculated. The first ratio of the first parameter to the second parameter and the second ratio of the first ratio to the third parameter are calculated as the torsion center of the thin-walled section to be calculated. This application directly calculates the torsion center of the thin-walled section based on a simple calculation method, which improves the efficiency of determining the torsion center. The solution provided in this embodiment will be described in detail below.

[0055] This embodiment provides an electronic device capable of determining the torsional center of a thin-walled section. In one possible implementation, the electronic device can be a user terminal, such as, but not limited to, a server, smartphone, personal computer (PC), tablet computer, personal digital assistant (PDA), mobile internet device (MID), etc.

[0056] Please refer to Figure 1 , Figure 1 This is a schematic diagram of the structure of the electronic device 100 provided in the embodiments of this application. The electronic device 100 may further include... Figure 1 The more or fewer components shown, or having the same Figure 1 The different configurations shown. Figure 1 The components shown can be implemented using hardware, software, or a combination thereof.

[0057] The electronic device 100 includes a thin-walled section torsion center determination device 110, a memory 120, and a processor 130.

[0058] The components of the memory 120 and processor 130 are electrically connected directly or indirectly to achieve data transmission or interaction. For example, these components can be electrically connected to each other through one or more communication buses or signal lines. The thin-walled section torsion center determining device 110 includes at least one software function module that can be stored in the memory 120 in the form of software or firmware or embedded in the operating system (OS) of the electronic device 100. The processor 130 is used to execute the executable modules stored in the memory 120, such as the software function modules and computer programs included in the thin-walled section torsion center determining device 110.

[0059] The memory 120 may be, but is not limited to, Random Access Memory (RAM), Read Only Memory (ROM), Programmable Read-Only Memory (PROM), Erasable Programmable Read-Only Memory (EPROM), Electrically Erasable Programmable Read-Only Memory (EEPROM), etc. The memory 120 is used to store programs, and the processor 130 executes the programs after receiving execution instructions.

[0060] Please refer to Figure 2 , Figure 2 For application Figure 1 The flowchart below shows a method for determining the torsion center of a thin-walled section of an electronic device 100. The method includes a detailed description of each step.

[0061] S201: Determine the cross-sectional data of the thin-walled section to be calculated.

[0062] The cross-sectional data includes the height of the thin-walled section to be calculated, the width of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, the upper and lower wall thicknesses of the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, and the area of ​​the thin-walled section to be calculated.

[0063] S202: The first and second parameters of the torsion center calculation algorithm are obtained based on the height of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, the upper and lower wall thicknesses of the thin-walled section to be calculated, the width of the thin-walled section to be calculated, and the area of ​​the thin-walled section to be calculated.

[0064] S203: The third parameter of the torsion center calculation algorithm is obtained based on the area of ​​the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, and the upper and lower wall thicknesses of the thin-walled section to be calculated.

[0065] S204: Calculate the first ratio of the first parameter to the second parameter.

[0066] S205: Calculate the second ratio of the first ratio to the third parameter, which serves as the torsional center of the thin-walled section to be calculated.

[0067] like Figure 3 The figure shows a schematic diagram of the thin-walled section to be calculated. The cross-sectional data in the figure include the height H, width B, and web thickness t of the thin-walled section to be calculated. f The thickness of the upper and lower walls of the thin-walled section to be calculated is t. y The wall thickness of the flange of the thin-walled section to be calculated is t. b The area of ​​the thin-walled section to be calculated is A, where A is the cross-sectional data including the product of the height and the width of the thin-walled section to be calculated, i.e., A = HB.

[0068] The torsion center of the thin-walled section to be calculated can be directly obtained based on the torsion center algorithm, given the height, width, web thickness, upper and lower wall thicknesses, flange thickness, and area of ​​the thin-walled section to be calculated.

[0069] The torsional center of thin-walled sections has important applications in engineering design and analysis. It prevents warping deformation. When designing structural members such as beams and columns, if the point of application of the external moment is not at the torsional center, the section will warp. This warping deformation leads to additional stress concentration, reducing the structure's load-bearing capacity and stability. Ensuring that the external moment acts at the torsional center avoids warping deformation, allowing the section to undergo pure torsion. For example, when designing box girders for bridges, the location of the piers or supports should be ensured so that the external moment acts at the torsional center of the box girder.

[0070] The torsion center of thin-walled structures can improve structural stiffness. When designing steel or composite structures, a well-chosen torsion center can enhance torsional stiffness. This can be achieved by optimizing the cross-sectional shape and dimensions to position the torsion center in a location most conducive to resisting external moments. For example, in designing aircraft wings, adjusting the layout of the ribs and skin can optimize the torsion center's position, thereby improving the wing's torsional stiffness.

[0071] The calculation of the torsional center of a thin-walled section can be applied to the calculation of torsional stiffness. When calculating the torsional stiffness of a structure, the location of the torsional center must be considered. Torsional stiffness is closely related to the geometry of the cross-section and the location of the torsional center. Using the method for determining the torsional center of a thin-walled section provided in this application, the torsional center can be calculated quickly, and the torsional stiffness can be calculated based on this. For example, when analyzing the torsional stiffness of an automobile frame, it is necessary to determine the torsional center of each section and then perform an overall torsional stiffness analysis.

[0072] The calculation of the torsion center in thin-walled structures can be applied in the stress analysis process. Correctly identifying the torsion center during stress analysis can avoid additional stress caused by warping. In stress analysis, setting the point of application of the external moment at the torsion center simplifies the calculation of stress distribution. For example, when analyzing the stress of a ship structure, ensuring that the external moment acts at the torsion center can avoid complex stress distributions caused by warping.

[0073] The calculation of the torsion center of thin-walled structures can be applied in specific engineering practices. For example, when designing supports or connectors, ensuring that the point of application of the external moment is located at the torsion center can reduce unnecessary stress concentration. In the design of bridge supports, by adjusting the position and shape of the supports, the external moment can be directed to the torsion center, thereby reducing stress concentration and improving the service life of the supports.

[0074] The calculation of the torsion center of thin-walled structures can be applied during assembly positioning. Ensuring that the points of application of external torques on each component are located at the torsion center during assembly guarantees the overall stability and reliability of the structure. In assembling large steel structures, precise measurement and adjustment ensure that the points of application of external torques on each component are located at the torsion center, thereby guaranteeing the stability and reliability of the entire structure.

[0075] The calculation of the torsion center in thin-walled structures can be applied in numerical simulations. In finite element analysis, correctly determining the torsion center can improve the accuracy and reliability of the analysis. When establishing the finite element model, mesh generation and boundary condition settings ensure that the point of application of the external moment is located at the torsion center. For example, when analyzing the torsional performance of wind turbine blades, determining the torsion center of each section of the blade through finite element analysis can improve the accuracy and reliability of the analysis.

[0076] The torsion center of thin-walled sections has important applications in engineering design and analysis. Therefore, the method for determining the torsion center of thin-walled sections provided in this application can quickly determine the torsion center of thin-walled sections. Correct use of the torsion center can avoid warping deformation, improve the stiffness and stability of the structure, simplify stress analysis, ensure the rational design of supports and connectors, and improve the accuracy of numerical simulation.

[0077] Specifically, the first and second parameters of the torsion center calculation algorithm are obtained based on the height of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, the upper and lower wall thicknesses of the thin-walled section to be calculated, the width of the thin-walled section to be calculated, and the area of ​​the thin-walled section to be calculated. The first parameter satisfies the following formula:

[0078] First parameter = Ψt b +3B(2B 2 / A+3t y / t f -t y / t b );

[0079] Ψ=H / t f +H / t b +2B / t y ;

[0080] The second parameter satisfies the following formula:

[0081] Second parameter = H 2 (t b / t f +2+t f / t b )+12B 2 ) / A;

[0082] Where H is the height of the thin-walled section to be calculated, and t f Let t be the web thickness of the thin-walled section to be calculated. b Let t be the flange wall thickness of the thin-walled section to be calculated. y Let B be the upper and lower wall thicknesses of the thin-walled section to be calculated, B be the width of the thin-walled section to be calculated, and A be the area of ​​the thin-walled section to be calculated.

[0083] The third parameter of the torsion center calculation algorithm is obtained based on the area of ​​the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, and the upper and lower wall thicknesses of the thin-walled section to be calculated.

[0084] The third parameter satisfies the following formula:

[0085] The third parameter = 2(t) b +t f )(1 / t y +3t y / t f t b );

[0086] Among them, t f Let t be the web thickness of the thin-walled section to be calculated. b Let t be the flange wall thickness of the thin-walled section to be calculated.y The upper and lower wall thicknesses are the values ​​of the thin-walled section to be calculated.

[0087] The torsional center of the thin-walled section is finally calculated using the following formula:

[0088] Cn=(Ψtb+3B(2B2 / A+3ty / tf-ty / tb)) / ((H2(tb / tf+2+tf / tb)+12B2) / A+2(tb+tf)(1 / ty+3ty / tftb)), where Ψtb+3B(2B2 / A+3ty / tf-ty / tb) is the first parameter, H2(tb / tf+2+tf / tb)+12B2) / A is the second parameter, and 2(tb+tf)(1 / ty+3ty / tftb) is the third parameter.

[0089] The above-mentioned method for calculating the torsion center of thin-walled sections only requires determining the cross-sectional data of the thin-walled section to determine the corresponding torsion center. The calculation method is simple and does not require the cumbersome calculation method in the prior art to calculate the torsion center, which can improve the calculation efficiency of the torsion center.

[0090] The torsion center calculation algorithm is derived from a derivation, the specific derivation method of which is as follows: Figure 4 As shown, it includes the following steps:

[0091] S301: Calculate the sector coordinates of each node in the thin-walled section to be calculated.

[0092] Each node constitutes a thin-walled section to be calculated.

[0093] S302: Determine the static moment of the sector line of the thin-walled section to be calculated based on each node.

[0094] S303: Algorithm for determining the torsion center based on sector coordinates and sector line static moments.

[0095] The method for calculating the sector coordinates of each node in the thin-walled section to be calculated can be as follows: Divide the thin-walled section to be calculated into i segments based on each node; determine the distance from the i-th segment to the zero point; determine the distance from the i-th segment to the zero point along the perimeter of the section; determine the first sector coordinates of the (i-1)-th segment; and calculate the second sector coordinates of the i-th segment based on the first sector coordinates, the distance from the i-th segment to the zero point, the distance from the i-th segment to the zero point along the perimeter of the section, the area of ​​the thin-walled section to be calculated, the height of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, the upper and lower wall thicknesses of the thin-walled section to be calculated, and the width of the thin-walled section to be calculated.

[0096] like Figure 5 The figure shows the sector coordinate diagram of the thin-walled section to be calculated. The formula derivation is as follows:

[0097] like Figure 5 As shown, let point O be the torsion center of the rectangular cross section. Since the cross section is symmetrical from top to bottom, the x-axis where point O is located is the axis of symmetry of the cross section from top to bottom.

[0098] The sector coordinates of the thin-walled section to be calculated are determined using the following formula:

[0099] ω i =ω i-1 +(ρ i -Ω / Ψ / t i )s i

[0100] Where Ω = 2A, and i represents... Figure 5 The nodes are 1, A, 2, m, 4, etc., and each node constitutes the thin-walled section to be calculated.

[0101] ρ—distance from section i to point O, mm; s—distance from section i to point O along the perimeter of the section, mm; t i — Wall thickness of segment i.

[0102] Let node 1 be the zero point, then ω1 = 0, where ω is the sector coordinate corresponding to the node.

[0103] For node A, s 1-A =H / 2

[0104] ω A =ω1+(ρ 1-A -Ω / Ψ / t 1-A );s 1-A =(H / 2)*((BC) n )-Ω / Ψ / t b ) ①

[0105] For node m, s A-m =B;

[0106] ω m =ω A +(ρ A-m -Ω / Ψ / t A-m )s A-m =(H / 2)*((BC) n )-Ω / Ψ / t b )+(Hz / 2-Ω / Ψ / t y )

[0107] B=(Hz / 2)*(Ω / Ψ / t f -C n ) ②

[0108] Based on the characteristics of the center of torsion, the static moment of the sector line of the thin-walled section to be calculated is as follows:

[0109] I ωy =∫ A (ωxdA)=0, I ωx =∫ A (ωydA)=0, where, I ωy Let I be the static moment of the sector line of the cross section about the y-axis. ωy Let be the static moment of the sector line of the cross section about the x-axis.

[0110] Because the cross-section is symmetrical, I ωy =0 is always true.

[0111] The static moment of the sector line of the thin-walled section about the x-axis is calculated using the following formula:

[0112] I ωx =∫ A ωydA=∫0 s t i y i (ω i-1 +(ρ i -Ω / Ψ / t i )s i )ds;

[0113] y represents the y-axis coordinate of the thin-walled section to be calculated.

[0114] For segments 1 to A, y 1-A =-s 1-A ;

[0115] I ωx 1-A =∫0 s t 1-A y 1-A (ω1+(ρ 1-A -Ω / Ψ / t 1-A )s 1-A )ds

[0116] =∫0 H / 2 -t b ((BC n )-Ω / Ψ / t b )s 1-A 2 ds

[0117] =-t b ((BC n )-Ω / Ψ / t b (H / 2) 3 / 3=-H 2 ω A t b / 12

[0118] For the segment from A to m, yA-m =-H / 2;

[0119] I ωx A-m =∫0 s t A-m y A-m (ω A +(H / 2 - Ω / Ψ / t y )s A-m )ds

[0120] =∫0 B -t y H(ω A +(H / 2 - Ω / Ψ / t y )s A-m ) / 2ds

[0121] =-t y H(ω A s A-m +(H / 2 - Ω / Ψ / t y )s A-m 2 / 2)0 B / 2

[0122] =-t y H(ω A B+(H / 2 - Ω / Ψ / t y )B 2 / 2) / 2

[0123] =-HB(ω m +ω A )t y / 4

[0124] For segments m to 4, y m-4 =s m-4 -H / 2;

[0125] I ωx m-4 =∫t m-4 y m-4 (ω m +(ρ m-4 -Ω / Ψ / t​​​​​​​​​​​​​​​​​​​​​​​​f (-Hω m s A-m / 2+(ω m -H(C n -Ω / Ψ / t f ) / 2)s m-4 2 / 2+(C n -Ω / Ψ / t f )s m-4 3 / 3)0 H / 2

[0128] =t f (-H 2 ω m / 4+(ω m -H(C n -Ω / Ψ / t f ) / 2)H 2 / 8+(C n -Ω / Ψ / t f )H 3 / twenty four)

[0129] =-Hz 2 ω m t f / 12

[0130] ∴I ωx =2(I ωx 1-A +I ωx A-m +I ωx m-4 )=-H 2 ω A t b / 6-HB(ω m +ω A )t y / 2-Hz 2 ω m t f / 6=0③;

[0131] Substituting equations ① and ② into the above equation and simplifying, we obtain the algorithm for calculating the torsion center:

[0132] C n =(Ψt) b +3B(2B 2 / A+3t y / t f -t y / t b )) / ((H 2 (t b / t f +2+tf / t b )+12B 2 ) / A+2

[0133] (t b +t f )(1 / t y +3t y / t f t b ));

[0134] Where Ψ = H / t f +H / t b +2B / t y A = HB.

[0135] Please refer to Figure 6 This application embodiment also provides an application for Figure 1 The thin-walled section torsion center determining device 110 of the electronic device 100 includes:

[0136] The determining module 111 is used to determine the cross-sectional data of the thin-walled section to be calculated, wherein the cross-sectional data includes the height of the thin-walled section to be calculated, the width of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, the upper and lower wall thicknesses of the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, and the area of ​​the thin-walled section to be calculated.

[0137] The calculation module 112 is used to obtain a first parameter and a second parameter for the torsion center calculation algorithm based on the height, web thickness, flange thickness, upper and lower wall thicknesses, width, and area of ​​the thin-walled section to be calculated; to obtain a third parameter for the torsion center calculation algorithm based on the area, flange thickness, web thickness, and upper and lower wall thicknesses of the thin-walled section to be calculated; to calculate a first ratio of the first parameter to the second parameter; and to calculate a second ratio of the first ratio to the third parameter, which is used as the torsion center of the thin-walled section to be calculated.

[0138] This application also provides an electronic device 100, which includes a processor 130 and a memory 120. The memory 120 stores computer-executable instructions, which, when executed by the processor 130, implement the method for determining the torsional center of the thin-walled section.

[0139] This application embodiment also provides a computer-readable storage medium storing a computer program, which, when executed by processor 130, implements the method for determining the torsional center of a thin-walled section.

[0140] In the embodiments provided in this application, it should be understood that the disclosed apparatus and methods can also be implemented in other ways. The apparatus embodiments described above are merely illustrative. For example, the flowcharts and block diagrams in the accompanying drawings illustrate the architecture, functionality, and operation of possible implementations of apparatus, methods, and computer program products according to various embodiments of this application. In this regard, each block in a flowchart or block diagram may represent a module, segment, or portion of code containing one or more executable instructions for implementing a specified logical function. It should also be noted that in some alternative implementations, the functions marked in the blocks may occur in a different order than those marked in the drawings. For example, two consecutive blocks may actually be executed substantially in parallel, and they may sometimes be executed in reverse order, depending on the functions involved. It should also be noted that each block in a block diagram and / or flowchart, and combinations of blocks in block diagrams and / or flowcharts, can be implemented using a dedicated hardware-based system that performs the specified function or action, or using a combination of dedicated hardware and computer instructions.

[0141] Furthermore, the functional modules in the various embodiments of this application can be integrated together to form an independent part, or each module can exist independently, or two or more modules can be integrated to form an independent part. If the function is implemented as a software functional module and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of this application, in essence, or the part that contributes to the prior art, or part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of this application. The aforementioned storage medium includes: USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, optical disks, and other media capable of storing program code.

[0142] 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. Without further limitations, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the process, method, article, or apparatus that includes said element.

[0143] The above descriptions are merely various embodiments of this application, but the scope of protection of this application is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the technical scope disclosed in this application should be included within the scope of protection of this application. Therefore, the scope of protection of this application should be determined by the scope of the claims.

Claims

1. A method for determining the torsion center of a thin-walled section, characterized in that, The method includes: Determine the cross-sectional data of the thin-walled section to be calculated, wherein the cross-sectional data includes the height of the thin-walled section to be calculated, the width of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, the upper and lower wall thicknesses of the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, and the area of ​​the thin-walled section to be calculated. The first and second parameters of the torsion center calculation algorithm are obtained based on the height of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, the upper and lower wall thicknesses of the thin-walled section to be calculated, the width of the thin-walled section to be calculated, and the area of ​​the thin-walled section to be calculated. The third parameter of the torsion center calculation algorithm is obtained based on the area of ​​the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, and the upper and lower wall thicknesses of the thin-walled section to be calculated. Calculate the first ratio of the first parameter to the second parameter; Calculate the second ratio of the first ratio to the third parameter, and use it as the torsion center of the thin-walled section to be calculated; The first parameter of the torsion center calculation algorithm satisfies the following formula: First parameter = Ψt b +3B (2B) 2 / A+3t y / t f -t y / t b ); Ψ=H / t f +H / t b +2B / t y ; Where H is the height of the thin-walled section to be calculated, and t f Let t be the web thickness of the thin-walled section to be calculated. b Let t be the flange wall thickness of the thin-walled section to be calculated. y Let B be the upper and lower wall thicknesses of the thin-walled section to be calculated, B be the width of the thin-walled section to be calculated, and A be the area of ​​the thin-walled section to be calculated. The second parameter of the torsion center calculation algorithm satisfies the following formula: Second parameter = (H) 2 (t) b / t f +2+t f / t b )+12B 2 ) / A; The third parameter satisfies the following formula: The third parameter = 2(t) b +t f (1 / t) y +3t y / t f t b ).

2. The method according to claim 1, characterized in that, The method further includes: Calculate the sector coordinates of each node in the thin-walled section to be calculated, wherein each node constitutes the thin-walled section to be calculated; Based on each of the aforementioned nodes, the static moment of the sector line of the thin-walled section to be calculated is determined; The algorithm for calculating the torsion center is determined based on the sector coordinates and the static moment of the sector line.

3. The method according to claim 2, characterized in that, The step of calculating the sector coordinates of each node in the thin-walled section to be calculated includes: The thin-walled section to be calculated is divided into i segments based on each of the nodes; Determine the distance from the i-th cross section to the zero point; The distance from the i-th section to the zero point along the perimeter of the section; Determine the coordinates of the first sector of the (i-1)th cross section; Based on the first sector coordinates, the distance from the i-th section to the zero point, the distance from the i-th section to the zero point along the perimeter of the section, the area of ​​the thin-walled section to be calculated, the height of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, the upper and lower wall thicknesses of the thin-walled section to be calculated, and the width of the thin-walled section to be calculated, the second sector coordinates of the i-th section are calculated.

4. The method according to claim 1, characterized in that, The thin-walled section to be calculated is a rectangular thin-walled section.

5. A device for determining the torsion center of a thin-walled section, characterized in that, The device includes: A determination module is used to determine the cross-sectional data of the thin-walled section to be calculated, wherein the cross-sectional data includes the height of the thin-walled section to be calculated, the width of the thin-walled section to be calculated, the web wall thickness of the thin-walled section to be calculated, the upper and lower wall thicknesses of the thin-walled section to be calculated, the flange wall thickness of the thin-walled section to be calculated, and the area of ​​the thin-walled section to be calculated. The calculation module is used to obtain a first parameter and a second parameter for the torsion center calculation algorithm based on the height, web wall thickness, flange wall thickness, upper and lower wall thicknesses, width, and area of ​​the thin-walled section to be calculated; to obtain a third parameter for the torsion center calculation algorithm based on the area, flange wall thickness, web wall thickness, and upper and lower wall thicknesses of the thin-walled section to be calculated; to calculate a first ratio of the first parameter to the second parameter; and to calculate a second ratio of the first ratio to the third parameter, which is used as the torsion center of the thin-walled section to be calculated. The first parameter of the torsion center calculation algorithm satisfies the following formula: First parameter = Ψt b +3B (2B) 2 / A+3t y / t f -t y / t b ); Ψ=H / t f +H / t b +2B / t y ; Where H is the height of the thin-walled section to be calculated, and t f Let t be the web thickness of the thin-walled section to be calculated. b Let t be the flange wall thickness of the thin-walled section to be calculated. y Let B be the upper and lower wall thicknesses of the thin-walled section to be calculated, B be the width of the thin-walled section to be calculated, and A be the area of ​​the thin-walled section to be calculated. The second parameter of the torsion center calculation algorithm satisfies the following formula: Second parameter = (H) 2 (t) b / t f +2+t f / t b )+12B 2 ) / A; The third parameter satisfies the following formula: The third parameter = 2(t) b +t f (1 / t) y +3t y / t f t b ).

6. An electronic device, characterized in that, The method includes a memory and a processor, the memory storing a computer program, characterized in that the processor executes the computer program to implement the steps of the method according to any one of claims 1-4.

7. A storage medium having a computer program stored thereon, characterized in that, When executed by a processor, the computer program implements the steps of the method described in any one of claims 1-4.

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