Calculation method, device and equipment for additional mass of seismic oscillation water of bearing platform and storage medium

Abstract

According to the bearing platform seismic oscillation water additional mass calculation method, device and equipment and the storage medium, calculation is directly carried out on circular and rectangular bearing platforms based on structural parameters of the bearing platforms and distance parameters from the bottoms of the bearing platforms to the water surface, calculation is simple and convenient, and the result is reliable; for a rounded rectangular bearing platform and a chamfered rectangular bearing platform, firstly, the bearing platform is regarded as a rectangular bearing platform to calculate the added mass of the seismic flowing water, and then a shape coefficient equation is introduced for correction to consider the influence of a rounded corner or a chamfer on the added mass of the seismic flowing water, so that the complexity of numerical simulation of a complex section structure is avoided, and the calculation accuracy is improved. Compared with a numerical simulation method, the scheme does not need tedious steps such as modeling and calculation, so that the calculation time is greatly shortened, and the calculation efficiency is improved; compared with a test method, the scheme does not need to invest a large amount of manpower and funds for testing, so that the cost is remarkably reduced; compared with theoretical derivation, the scheme is suitable for various bearing platform shapes including a circle, a rectangle, a rounded rectangle and a chamfered rectangle.

Description

Technical Field

[0001] The present application relates to the field of bridge engineering, and specifically relates to a method, device, equipment and storage medium for calculating the additional hydrodynamic mass of a pile cap under earthquake ground motion. Background Art

[0002] In recent years, with the urgent demand for coastal transportation, the economic development in coastal areas has been rapid, and the construction of cross-sea bridges has become more and more. Different from onshore bridges, when a cross-sea bridge is subjected to earthquake ground motion, the interaction between the vibration of the bridge structure and the water body will generate hydrodynamic pressure, that is, the earthquake hydrodynamic effect. The earthquake hydrodynamic effect will prolong the structural period and amplify the seismic response of the structure. Studying the earthquake hydrodynamic effect is an important factor that cannot be ignored in the seismic response analysis of cross-sea bridges, and is crucial for ensuring the safety of bridges and people's lives.

[0003] In related technologies, the hydrodynamic additional mass method mainly relies on various methods such as experimental research, theoretical derivation and numerical simulation. However, the experimental method is costly and requires a large amount of manpower and funds. The theoretical derivation method is limited to conventional cross-sections such as circular or rectangular structures. In addition, although numerical simulation can solve the earthquake hydrodynamic additional mass of complex cross-section structures, it often relies on professional finite element software and requires cumbersome steps such as modeling and calculation, which takes a long time and has low efficiency. Summary of the Invention

[0004] The present application provides a method, device, equipment and storage medium for calculating the additional hydrodynamic mass of a pile cap under earthquake ground motion, which can solve the technical problems in related technologies that the traditional hydrodynamic additional mass method is costly, requires a large amount of manpower and funds, and has cumbersome steps such as calculation, takes a long time and has low efficiency.

[0005] In a first aspect, an embodiment of the present application provides a method for calculating the additional hydrodynamic mass of a bridge pile cap structure under earthquake ground motion, and the method for calculating the additional hydrodynamic mass of the pile cap under earthquake ground motion includes:

[0006] Select one from a circular, rectangular, rounded rectangular or chamfered rectangular pile cap, and determine the pile cap structure parameters of the selected pile cap;

[0007] If the selected pile cap is circular or rectangular, calculate the additional hydrodynamic mass of the circular or rectangular pile cap based on the pile cap structure parameters of the circular or rectangular shape and the distance parameter from the bottom of the pile cap to the water surface;

[0008] If the selected pile cap is rounded rectangular or chamfered rectangular, calculate the additional hydrodynamic mass of the pile cap regarded as a rectangular pile cap based on the pile cap structure parameters of the rounded rectangular or chamfered rectangular shape and the distance parameter from the bottom of the pile cap to the water surface, and calculate the additional hydrodynamic mass of the rounded rectangular or chamfered rectangular pile cap based on the shape coefficient equation.

[0009] In combination with the first aspect, in one embodiment, if the selected pile cap is circular or rectangular, based on the structural parameters of the circular or rectangular pile cap and the distance parameter from the bottom of the pile cap to the water surface, the hydrodynamic added mass of the circular or rectangular pile cap is calculated, including:

[0010] If the selected pile cap type is circular, based on the density of water, the diameter of the circular pile cap, the thickness of the circular pile cap, the first hydrodynamic added mass coefficient, and the distance from the bottom of the circular pile cap to the water surface, the hydrodynamic added mass of the circular pile cap is calculated.

[0011] In combination with the first aspect, in one embodiment, if the selected pile cap is circular or rectangular, based on the structural parameters of the circular or rectangular pile cap and the distance parameter from the bottom of the pile cap to the water surface, the hydrodynamic added mass of the circular or rectangular pile cap is calculated, including:

[0012] If the selected pile cap type is rectangular, based on the density of water, the length of the rectangular pile cap, whose length direction is parallel to the direction of seismic input, the width of the rectangular pile cap, whose width direction is perpendicular to the direction of seismic input, the thickness of the rectangular pile cap, the second hydrodynamic added mass coefficient, the third hydrodynamic added mass coefficient, the parameter S, and the distance from the bottom of the rectangular pile cap to the water surface, the hydrodynamic added mass of the rectangular pile cap is calculated; wherein, when the pile cap is partially submerged, the parameter S is equal to the distance from the bottom of the rectangular pile cap to the water surface, and when the pile cap is completely submerged, the parameter S is equal to the thickness of the rectangular pile cap.

[0013] In combination with the first aspect, in one embodiment, if the selected pile cap is a rounded rectangular or chamfered rectangular pile cap, based on the structural parameters of the rounded rectangular or chamfered rectangular pile cap and the distance parameter from the bottom of the pile cap to the water surface, the hydrodynamic added mass of the pile cap regarded as a rectangular pile cap is calculated, and based on the shape coefficient equation, the hydrodynamic added mass of the rounded rectangular or chamfered rectangular pile cap is calculated, including:

[0014] If the selected pile cap type is a rounded rectangular pile cap, based on the length of the rounded rectangular pile cap, the width of the rounded rectangular pile cap, the thickness of the rounded rectangular pile cap, the parameter S, and the distance parameter from the bottom of the rounded rectangular pile cap to the water surface, the hydrodynamic added mass of the pile cap regarded as a rectangular pile cap is calculated; wherein, when the pile cap is partially submerged, the parameter S is equal to the distance from the bottom of the rounded rectangular pile cap to the water surface, and when the pile cap is completely submerged, the parameter S is equal to the thickness of the rounded rectangular pile cap;

[0015] Based on the hydrodynamic added mass of the pile cap regarded as a rectangular pile cap and the shape coefficient equation, the hydrodynamic added mass of the rounded rectangular pile cap is calculated.

[0016] In combination with the first aspect, in one embodiment, before calculating the hydrodynamic added mass of the rounded rectangular pile cap based on the hydrodynamic added mass of the pile cap regarded as a rectangular pile cap and the shape coefficient equation, it further includes:

[0017] Based on the length, width, and fillet of the rounded rectangular pile cap, a shape factor equation is calculated.

[0018] Combined with the first aspect, in one implementation, if the selected pile cap is a rounded rectangular or chamfered rectangular shape, then based on the pile cap structure parameters of the rounded rectangular or chamfered rectangular shape and the distance parameter from the bottom of the pile cap to the water surface, the hydrodynamic added mass of the earthquake motion regarded as a rectangular pile cap is calculated, and based on the shape factor equation, the hydrodynamic added mass of the earthquake motion of the rounded rectangular or chamfered rectangular pile cap is calculated, including:

[0019] If the selected pile cap type is a chamfered rectangular shape, then based on the length, width, thickness, parameter S, and the distance parameter from the bottom of the chamfered rectangular pile cap to the water surface of the chamfered rectangular pile cap, the hydrodynamic added mass of the earthquake motion regarded as a rectangular pile cap is calculated; where, when the pile cap is partially submerged, parameter S is equal to the distance from the bottom of the rounded rectangular pile cap to the water surface, and when the pile cap is completely submerged, parameter S is equal to the thickness of the rounded rectangular pile cap;

[0020] Based on the hydrodynamic added mass of the earthquake motion regarded as a rectangular pile cap and the shape factor equation, the hydrodynamic added mass of the earthquake motion of the chamfered rectangular pile cap is calculated.

[0021] Combined with the first aspect, in one implementation, before calculating the hydrodynamic added mass of the earthquake motion of the chamfered rectangular pile cap based on the hydrodynamic added mass of the earthquake motion regarded as a rectangular pile cap and the shape factor equation, it further includes:

[0022] Based on the length, width, and chamfer of the chamfered rectangular pile cap, a shape factor equation is calculated.

[0023] In the second aspect, an embodiment of the present application provides a device for calculating the hydrodynamic added mass of the earthquake motion of a bridge pile cap structure. The device for calculating the hydrodynamic added mass of the earthquake motion of the bridge pile cap structure includes:

[0024] A pile cap type and pile cap structure parameter determination module, which is used to select one from circular, rectangular, rounded rectangular, or chamfered rectangular pile caps and determine the pile cap structure parameters of the selected pile cap;

[0025] A first pile cap hydrodynamic added mass calculation module, which is used to calculate the hydrodynamic added mass of the circular or rectangular pile cap based on the pile cap structure parameters of the circular or rectangular shape and the distance parameter from the bottom of the pile cap to the water surface if the selected pile cap is circular or rectangular;

[0026] The second calculation module for the additional hydrodynamic mass of the pile cap under earthquake is used to calculate the additional hydrodynamic mass of the pile cap under earthquake regarded as a rectangular pile cap based on the structural parameters of the pile cap with a rounded rectangle or chamfered rectangle shape and the distance parameter from the bottom of the pile cap to the water surface, and calculate the additional hydrodynamic mass of the pile cap with a rounded rectangle or chamfered rectangle shape based on the shape factor equation.

[0027] In a third aspect, an embodiment of the present application provides a calculation device for the additional hydrodynamic mass of a bridge pile cap structure. The calculation device for the additional hydrodynamic mass of the bridge pile cap structure includes a processor, a memory, and a calculation program for the additional hydrodynamic mass of the bridge pile cap structure stored on the memory and executable by the processor. When the calculation program for the additional hydrodynamic mass of the bridge pile cap structure is executed by the processor, the steps of the calculation method for the additional hydrodynamic mass of the bridge pile cap structure as described in some of the above embodiments are implemented.

[0028] In a fourth aspect, an embodiment of the present application provides a computer-readable storage medium. A calculation program for the additional hydrodynamic mass of the bridge pile cap structure is stored on the computer-readable storage medium. When the calculation program for the additional hydrodynamic mass of the bridge pile cap structure is executed by a processor, the steps of the calculation method for the additional hydrodynamic mass of the bridge pile cap structure as described in any one of some of the above embodiments are implemented.

[0029] The beneficial effects brought by the technical solutions provided in the embodiments of the present application include:

[0030] For circular and rectangular pile caps, calculations are directly performed based on their structural parameters and the distance parameter from the bottom of the pile cap to the water surface. The calculations are simple and convenient, and the results are reliable. For pile caps with rounded rectangles and chamfered rectangles, first, the additional hydrodynamic mass of the pile cap under earthquake is calculated by regarding it as a rectangular pile cap, and then the shape factor equation is introduced for correction to consider the influence of the rounded corners or chamfers on the additional hydrodynamic mass of the pile cap under earthquake. This not only avoids the cumbersome numerical simulation of complex cross-section structures but also improves the calculation accuracy. Compared with the numerical simulation method, this solution does not require cumbersome steps such as modeling and calculation, greatly shortening the calculation time and improving the calculation efficiency. Compared with the experimental method, this solution does not require a large amount of manpower and funds for experiments, significantly reducing the cost. Compared with theoretical derivation, the solution is applicable to various pile cap shapes, including circular, rectangular, rounded rectangle, and chamfered rectangle, enhancing its applicability in different projects. By introducing the shape factor equation, the solution can more accurately consider the influence of rounded corners or chamfers on the additional hydrodynamic mass of the pile cap under earthquake, improving the calculation accuracy. The solution simplifies the complex numerical simulation process into a calculation process based on structural parameters and the shape factor equation, making the calculation process more concise and clear, and easy for engineering personnel to understand and apply. Description of the Drawings

[0031] Figure 1Schematic flow chart of an embodiment of the method for calculating the additional hydrodynamic mass of the pile cap in this application;

[0032] Figure 2 Schematic three-dimensional structure diagram of the circular pile cap in this application;

[0033] Figure 3 Schematic three-dimensional structure diagram of the rectangular pile cap in this application;

[0034] Figure 4 Schematic three-dimensional structure diagram of the round-cornered rectangular pile cap in this application;

[0035] Figure 5 Schematic three-dimensional structure diagram of the chamfered rectangular pile cap in this application;

[0036] Figure 6 is Figure 2 Front view structure diagram in;

[0037] Figure 7 is Figure 2 Side view structure diagram in;

[0038] Figure 8 is Figure 2 Top view structure diagram in;

[0039] Figure 9 is Figure 3 Front view structure diagram in;

[0040] Figure 10 is Figure 3 Side view structure diagram in;

[0041] Figure 11 is Figure 3 Top view structure diagram in;

[0042] Figure 12 is Figure 4 Front view structure diagram in;

[0043] Figure 13 is Figure 4 Side view structure diagram in;

[0044] Figure 14 is Figure 4 Top view structure diagram in;

[0045] Figure 15 is Figure 5 Front view structure diagram in;

[0046] Figure 16 is Figure 5 Side view structure diagram in;

[0047] Figure 17 isFigure 5 The schematic top view structure diagram in

[0048] Figure 18 This is the schematic hardware structure diagram of the seismic hydrodynamic added mass calculation device for the bridge cap structure involved in the solution of the embodiment of the present application.

[0049] In the figure: 1. Circular bridge cap; 2. Rectangular bridge cap; 3. Rounded rectangular bridge cap; 4. Chamfered rectangular bridge cap. Specific implementation manners

[0050] In order to enable those skilled in the art to better understand the solution of the present application, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present application. Obviously, the described embodiments are only a part of the embodiments of the present application, rather than all the embodiments. Based on the embodiments in the present application, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present application.

[0051] The present application provides a method, device, equipment and storage medium for calculating the seismic hydrodynamic added mass of a bridge cap, which can solve the technical problems existing in the related art, such as the high cost of the traditional hydrodynamic added mass method, the need to invest a large amount of manpower, funds, and cumbersome calculation steps, long time consumption, and low efficiency.

[0052] In order to make the purpose, technical solutions and advantages of the present application clearer, the embodiments of the present application will be further described in detail below with reference to the accompanying drawings.

[0053] In a first aspect, an embodiment of the present application provides a method for calculating the seismic hydrodynamic added mass of a bridge cap.

[0054] In one embodiment, with reference to Figure 1 , Figure 1 This is the schematic flowchart of the first embodiment of the method for calculating the seismic hydrodynamic added mass of the bridge cap of the present application. As Figure 1 shown, the method for calculating the seismic hydrodynamic added mass of the bridge cap includes:

[0055] S100: Select one from a circular, rectangular, rounded rectangular or chamfered rectangular bridge cap, and determine the bridge cap structure parameters of the selected bridge cap;

[0056] S200: If the selected bridge cap is circular or rectangular, calculate the seismic hydrodynamic added mass of the circular or rectangular bridge cap based on the bridge cap structure parameters of the circle or rectangle and the distance parameter from the bottom of the bridge cap to the water surface;

[0057] S300: If the selected pile cap is a round-corner rectangle or a chamfered rectangle, calculate the hydrodynamic added mass regarded as the rectangular pile cap 2 based on the structural parameters of the round-corner rectangle or chamfered rectangle pile cap and the distance parameter from the bottom of the pile cap to the water surface, and calculate the hydrodynamic added mass of the round-corner rectangle or chamfered rectangle pile cap based on the shape factor equation.

[0058] In this embodiment, first, it is allowed to select one from circular, rectangular, round-corner rectangular or chamfered rectangular pile caps and determine the structural parameters of the selected pile cap. This step provides the basic data for the subsequent calculation of the hydrodynamic added mass. For circular or rectangular pile caps, the method directly calculates the hydrodynamic added mass based on their structural parameters and the distance parameter from the bottom of the pile cap to the water surface. For round-corner rectangular or chamfered rectangular pile caps, the method first regards it as the rectangular pile cap 2 for preliminary calculation, and then corrects the result based on the shape factor equation to obtain a more accurate hydrodynamic added mass. The improved method simplifies the calculation process significantly by classifying the calculations and avoiding the cumbersome modeling and calculation steps in traditional numerical simulations, which helps improve the calculation efficiency and reduce the input of manpower and time. Due to avoiding the complex numerical simulation process, the improved method has been significantly improved in calculation efficiency, which enables engineers to obtain the required hydrodynamic added mass data faster, thus accelerating the design and decision-making process. The improved method is not only applicable to conventional cross-sections such as the circular pile cap 1 and the rectangular pile cap 2, but also extended to the round-corner rectangular pile cap 3 and the chamfered rectangular pile cap 4 by introducing the shape factor equation, which makes the method applicable to a wider range of engineering actual situations and improves its practicability and flexibility. Compared with the traditional test method, the improved method does not require a large amount of manpower, funds and equipment, thus significantly reducing the cost, which enables engineers to calculate and analyze the hydrodynamic added mass at a lower cost. In summary, the improved technical means provides a more efficient and practical solution for the calculation of the hydrodynamic added mass of the pile cap by virtue of the advantages such as simplifying the calculation process, improving the calculation efficiency, expanding the applicable range and reducing the cost.

[0059] Further, in one embodiment, in S200, the following steps are included:

[0060] S201: If the selected pile cap type is circular, calculate the hydrodynamic added mass of the circular pile cap 1 based on the density of water, the diameter of the circular pile cap 1, the thickness of the circular pile cap 1, the first hydrodynamic added mass coefficient and the distance from the bottom of the circular pile cap 1 to the water surface.

[0061] In this embodiment, if the selected pile cap type is circular, the following specific steps are used to calculate its hydrodynamic added mass. The density of water (ρ w):These are the basic parameters for calculating the hydrodynamic added mass, and usually the water density value under standard conditions is taken; the diameter (L) of the circular pile cap 1: The diameter of the pile cap is a key parameter for calculating its area and volume; the thickness (T) of the circular pile cap 1: The thickness of the pile cap affects its contact area with water and the distribution of hydrodynamic pressure; the distance (H) from the bottom of the circular pile cap 1 to the water surface: This parameter reflects the position of the pile cap in water and has a direct impact on the hydrodynamic added mass; the hydrodynamic added mass coefficient in earthquake (C a ):This is an empirical coefficient used to convert the interaction between the pile cap and water into hydrodynamic added mass. This coefficient is usually determined through experiments or numerical simulations and may vary with factors such as the frequency of seismic waves, the shape and size of the pile cap. Using the above parameters and the hydrodynamic added mass coefficient in earthquake, the hydrodynamic added mass of the circular pile cap 1 can be calculated.

[0062] Exemplarily, as Figure 6 、 Figure 7 and Figure 8 shown, the equation for the hydrodynamic added mass of the circular pile cap structure in earthquake is as follows:

[0063]

[0064] P1 = 0.3951; P2 = -0.1494; P3 = 0.2125; P4 = 0.01898; P5 = -0.01393;

[0065] P6 = -0.04178; P7 = -0.0007926; P8 = 5.308E-5; P9 = 0.002805;

[0066] L T = L / T; H T = H / T; H L = H / L; L H = L / H

[0067] 1 ≤ L / T ≤ 10;

[0068] 0.25 ≤ H / T ≤ 3;

[0069] In the formula, ρ w is the water density, L is the diameter of the circular pile cap 1, T is the thickness of the circular pile cap 1, H is the water depth of the circular pile cap 1, and P1 to P9 are constants. According to the actual engineering parameters, the hydrodynamic added mass of the circular pile cap 1 can be quickly calculated Among them, if the circular pile cap 1 has no contact with the water surface, the hydrodynamic added mass coefficient in earthquake C a is equal to zero, that is, the circular pile cap 1 has no hydrodynamic added mass in earthquake.

[0070] Further, in one embodiment, in S200, the following steps are included:

[0071] S202: If the selected type of the bearing platform is rectangular, then based on the density of water, the length of the rectangular bearing platform 2, whose length direction is parallel to the direction of ground motion input, the width of the rectangular bearing platform 2, whose width direction is perpendicular to the direction of ground motion input, the thickness of the rectangular bearing platform 2, the hydrodynamic water additional mass coefficient two, the hydrodynamic water additional mass coefficient three, the parameter S, and the distance from the bottom of the rectangular bearing platform 2 to the water surface, calculate the hydrodynamic water additional mass of the rectangular bearing platform 2; wherein, when the bearing platform is partially submerged, the parameter S is equal to the distance from the bottom of the rectangular bearing platform 2 to the water surface, and when the bearing platform is completely submerged, the parameter S is equal to the thickness of the rectangular bearing platform 2.

[0072] In this embodiment, if the selected type of the bearing platform is rectangular, determine the basic parameters, the density of water (ρ w ): This is the basic parameter for calculating the hydrodynamic additional mass, the length of the rectangular bearing platform (B): The length direction is parallel to the direction of ground motion input, which is the key dimension for calculating the interaction between the bearing platform and the ground motion, the width of the rectangular bearing platform (L): The width direction is perpendicular to the direction of ground motion input, which also affects the interaction between the bearing platform and the ground motion, the thickness of the rectangular bearing platform (T): The thickness of the bearing platform affects its contact area with water and the distribution of hydrodynamic pressure, the distance from the bottom of the rectangular bearing platform to the water surface (H): This parameter reflects the position of the bearing platform in water and has a direct impact on the hydrodynamic additional mass; introduce the hydrodynamic water additional mass coefficients, the hydrodynamic water additional mass coefficient two (β): The hydrodynamic additional mass coefficient related to the length direction of the bearing platform, the hydrodynamic water additional mass coefficient three (γ): The hydrodynamic additional mass coefficient related to the width direction of the bearing platform, these two coefficients are usually determined through experiments or numerical simulations and may vary with factors such as the frequency of seismic waves, the shape and size of the bearing platform, etc.; determine the parameter S, when the bearing platform is partially submerged, the parameter S is equal to the distance from the bottom of the rectangular bearing platform to the water surface (H), when the bearing platform is completely submerged, the parameter S is equal to the thickness of the rectangular bearing platform (T), the parameter S is used to reflect the submergence degree of the bearing platform in water and has an important impact on the calculation of the hydrodynamic additional mass; using the above parameters and the hydrodynamic water additional mass coefficients, the hydrodynamic water additional mass of the rectangular bearing platform can be calculated.

[0073] Exemplarily, as Figure 9 、 Figure 10 and Figure 11 shown, the equation for the hydrodynamic water additional mass of the rectangular bearing platform 2 is as follows:

[0074]

[0075] β = -0.2701ln(T / H)

[0076] γ = 0.2559 - 0.7771ln(L / H)

[0077] 10 ≤ L ≤ 20

[0078] 0.4 ≤ L / B ≤ 2.5

[0079] 2 ≤ L / T ≤ 10

[0080] 0.4 ≤ H / T ≤ 3.5

[0081] In the formula, ρ w is the density of water, B is the length of the rectangular pile cap 2, parallel to the direction of ground motion input, L is the width of the rectangular pile cap 2, perpendicular to the direction of ground motion input, T is the thickness of the rectangular pile cap 2, H is the distance from the bottom of the rectangular pile cap 2 to the water surface, β is the hydrodynamic additional mass coefficient II of ground motion, the hydrodynamic additional mass coefficient related to the length direction of the pile cap, γ is the hydrodynamic additional mass coefficient III of ground motion, M a2 is the hydrodynamic additional mass of ground motion of the rectangular pile cap 2. Among them, if the rectangular pile cap 2 has no contact with the water surface, M a2 is equal to zero, that is, the rectangular pile cap 2 has no hydrodynamic additional mass of ground motion. When the pile cap is partially submerged, the parameter S is equal to the distance from the bottom of the rectangular pile cap 2 to the water surface. When the pile cap is completely submerged, the parameter S is equal to the thickness of the rectangular pile cap 2.

[0082] Further, in an embodiment, in S300, the following steps are included:

[0083] S301: If the selected pile cap type is a rounded rectangular pile cap, then based on the length of the rounded rectangular pile cap 3, the width of the rounded rectangular pile cap 3, the thickness of the rounded rectangular pile cap 3, the parameter S, and the distance parameter from the bottom of the rounded rectangular pile cap 3 to the water surface, calculate the hydrodynamic additional mass of ground motion regarded as the rectangular pile cap 2; among them, when the pile cap is partially submerged, the parameter S is equal to the distance from the bottom of the rounded rectangular pile cap 3 to the water surface. When the pile cap is completely submerged, the parameter S is equal to the thickness of the rounded rectangular pile cap 3;

[0084] S303: Based on the hydrodynamic additional mass of ground motion regarded as the rectangular pile cap 2 and the shape coefficient equation, calculate the hydrodynamic additional mass of ground motion of the rounded rectangular pile cap 3.

[0085] In this embodiment, if the selected pile cap type is a rounded rectangular pile cap, it is first regarded as an equivalent rectangular pile cap (referred to as "the regarded rectangular pile cap 2") to perform preliminary calculations of the seismic hydrodynamic added mass and determine the basic parameters: the length (B) of the rounded rectangular pile cap 3: This is one of the key dimensions for calculating the interaction between the pile cap and the seismic motion; the width (L) of the rounded rectangular pile cap 3: It also affects the interaction between the pile cap and the seismic motion; the thickness (T) of the rounded rectangular pile cap 3: The thickness of the pile cap affects its contact area with water and the distribution of hydrodynamic pressure; the distance (H) from the bottom of the rounded rectangular pile cap 3 to the water surface: It reflects the position of the pile cap in water and has a direct impact on the hydrodynamic added mass; the parameter S: When the pile cap is partially submerged, S is equal to the distance H from the bottom of the rounded rectangular pile cap 3 to the water surface; when the pile cap is completely submerged, S is equal to the thickness T of the rounded rectangular pile cap 3; Based on the above parameters, the seismic hydrodynamic added mass of the regarded rectangular pile cap 2 is calculated. Here, regarding the rounded rectangular pile cap 3 as the rectangular pile cap 2 for calculation is to simplify the calculation process and obtain a preliminary approximation. Since there are differences in shape between the rounded rectangular pile cap 3 and the actual rectangular pile cap 2, it is necessary to correct the preliminarily calculated seismic hydrodynamic added mass through the shape coefficient equation to obtain a more accurate seismic hydrodynamic added mass of the rounded rectangular pile cap 3. Using the shape coefficient equation, multiply the seismic hydrodynamic added mass of the regarded rectangular pile cap 2 by the shape coefficient to obtain the corrected seismic hydrodynamic added mass of the rounded rectangular pile cap 3. This method not only considers the similarity between the rounded rectangular pile cap 3 and the rectangular pile cap 2 but also corrects the calculation results through the shape coefficient equation, thereby improving the accuracy and practicality of the calculation.

[0086] Exemplarily, as Figure 12 、 Figure 13 and Figure 14 shown, the equation for the seismic hydrodynamic added mass of the rounded rectangular pile cap 3 is as follows:

[0087] L2 = min(B, L)

[0088] M a3 = (SC1) * M a2

[0089] 0.05 < R / L2 ≤ 0.5

[0090] 1 ≤ L / T ≤ 10

[0091] 0.5 ≤ H / T ≤ 2

[0092] 0.25 ≤ B / L ≤ 4

[0093] Wherein, R is the rounded corner of the rounded rectangular pile cap 3, B is the length of the rounded rectangular pile cap 3, L is the width of the rounded rectangular pile cap 3, T is the thickness of the rounded rectangular pile cap 3, H is the distance from the bottom of the rounded rectangular pile cap 3 to the water surface, L2 takes the minimum value of the length and width of the rounded rectangular pile cap 3, SC1 is the shape coefficient equation, M a3 is the additional hydrodynamic mass of the rounded rectangular pile cap 3 during earthquake; wherein, if the rounded rectangular pile cap 3 has no contact with the water surface, M a3 is equal to zero, that is, the rounded rectangular pile cap 3 has no additional hydrodynamic mass during earthquake.

[0094] Further, in one embodiment, before S303, the following steps are included:

[0095] S302: Calculate the shape coefficient equation based on the length of the rounded rectangular pile cap 3, the width of the rounded rectangular pile cap 3, and the rounded corner of the rounded rectangular pile cap 3.

[0096] In this embodiment, the equation of the shape coefficient equation SC1 is as follows:

[0097] SC1 = 0.0918*(R / L2) 2 - 0.5377*(R / L2) + 1.

[0098] Further, in one embodiment, in S300, the following steps are included:

[0099] S304: If the selected pile cap type is a chamfered rectangular pile cap, calculate the additional hydrodynamic mass of the rectangular pile cap 2 regarded as the chamfered rectangular pile cap 4 based on the length of the chamfered rectangular pile cap 4, the width of the chamfered rectangular pile cap 4, the thickness of the chamfered rectangular pile cap 4, the parameter S, and the distance parameter from the bottom of the chamfered rectangular pile cap 4 to the water surface; wherein, when the pile cap is partially submerged, the parameter S is equal to the distance from the bottom of the rounded rectangular pile cap 3 to the water surface, and when the pile cap is completely submerged, the parameter S is equal to the thickness of the rounded rectangular pile cap 3;

[0100] S306: Calculate the additional hydrodynamic mass of the chamfered rectangular pile cap 4 based on the additional hydrodynamic mass of the rectangular pile cap 2 regarded as the chamfered rectangular pile cap 4 and the shape coefficient equation.

[0101] In this embodiment, calculate the additional hydrodynamic mass of the rectangular pile cap 2 regarded as the chamfered rectangular pile cap 4, and determine the parameters: the length B of the chamfered rectangular pile cap 4, the width L of the chamfered rectangular pile cap 4, the thickness T of the chamfered rectangular pile cap 4, the parameter S: when the pile cap is partially submerged, S is equal to the distance from the bottom of the pile cap to the water surface; when the pile cap is completely submerged, S is equal to the thickness T of the pile cap, calculate the additional hydrodynamic mass of the rectangular pile cap 2 regarded as the chamfered rectangular pile cap 4. Next, we need to use the shape coefficient equation to adjust this value to consider the actual shape of the chamfered rectangular pile cap 4, which reflects the difference in the additional hydrodynamic mass between the chamfered rectangular pile cap 4 and the simplified rectangular pile cap 2.

[0102] Exemplarily, as Figure 15 、 Figure 16 and Figure 17 shown, the equation for the additional hydrodynamic mass of the chamfered rectangular pile cap 4 under earthquake is as follows:

[0103] L2 = min(B, L)

[0104] M a4 = (SC2 + 1) * M a2

[0105] 0.05 < R / L2 ≤ 0.5

[0106] 1 ≤ L / T ≤ 10

[0107] 0.5 ≤ H / T ≤ 2

[0108] 0.25 ≤ B / L ≤ 4

[0109] In the formula, R is the chamfer of the chamfered rectangular pile cap 4, B is the length of the chamfered rectangular pile cap 4, L is the width of the chamfered rectangular pile cap 4, T is the thickness of the chamfered rectangular pile cap 4, H is the water depth of the chamfered rectangular pile cap 4, L2 takes the minimum value of the length and width of the chamfered rectangular pile cap 4, SC2 is the shape coefficient equation, and M a4 is the additional hydrodynamic mass of the chamfered rectangular pile cap structure under earthquake; among them, if the chamfered rectangular pile cap 4 has no contact with the water surface, M a4 is equal to zero, that is, the chamfered rectangular pile cap 4 has no additional hydrodynamic mass under earthquake.

[0110] Further, in one embodiment, before S306, the following steps are included:

[0111] S305: Calculate the shape coefficient equation based on the length of the chamfered rectangular pile cap 4, the width of the chamfered rectangular pile cap 4, and the chamfer of the chamfered rectangular pile cap 4.

[0112] In this embodiment, the equation of the shape coefficient equation SC2 is as follows:

[0113] SC2 = 0.8669 * (R / L2) 3 - 0.1429 * (R / L2) 2 - 0.754 * (R / L2) + 1.

[0114] Second aspect, an embodiment of the present application further provides a calculating device for seismic hydrodynamic added mass of a bridge pile cap structure. The calculating device for seismic hydrodynamic added mass of the bridge pile cap structure includes: a pile cap type and pile cap structure parameter determination module, which is used to select one from circular, rectangular, rounded rectangular or chamfered rectangular pile caps and determine the pile cap structure parameters of the selected pile cap; a first pile cap seismic hydrodynamic added mass calculation module, which is used to calculate the seismic hydrodynamic added mass of the circular or rectangular pile cap based on the pile cap structure parameters of the circular or rectangular shape and the distance parameter from the bottom of the pile cap to the water surface if the selected pile cap is circular or rectangular; a second pile cap seismic hydrodynamic added mass calculation module, which is used to calculate the seismic hydrodynamic added mass of the pile cap regarded as a rectangular pile cap 2 based on the pile cap structure parameters of the rounded rectangular or chamfered rectangular shape and the distance parameter from the bottom of the pile cap to the water surface, and calculate the seismic hydrodynamic added mass of the rounded rectangular or chamfered rectangular pile cap based on the shape coefficient equation.

[0115] Wherein, the function implementation of each module in the above-mentioned calculating device for seismic hydrodynamic added mass of the bridge pile cap structure corresponds to each step in the above-mentioned embodiment of the method for calculating the seismic hydrodynamic added mass of the pile cap, and its function and implementation process will not be elaborated here one by one.

[0116] Third aspect, an embodiment of the present application provides a calculating device for seismic hydrodynamic added mass of a bridge pile cap structure. The calculating device for seismic hydrodynamic added mass of the bridge pile cap structure can be a device with data processing functions such as a personal computer (PC), a notebook computer, a server, etc.

[0117] Refer to Figure 18 , Figure 18 is a schematic hardware structure diagram of the calculating device for seismic hydrodynamic added mass of the bridge pile cap structure involved in the solution of the embodiment of the present application. In the embodiment of the present application, the calculating device for seismic hydrodynamic added mass of the bridge pile cap structure may include a processor, a memory, a communication interface, and a communication bus.

[0118] Among them, the communication bus can be of any type and is used to interconnect the processor, the memory, and the communication interface.

[0119] The communication interface includes input / output (I / O) interfaces, physical interfaces, and logical interfaces, etc., which are used to implement the interconnection of components inside the calculating device for seismic hydrodynamic added mass of the bridge pile cap structure, and interfaces for implementing the interconnection of the calculating device for seismic hydrodynamic added mass of the bridge pile cap structure with other devices (such as other computing devices or user devices). The physical interface can be an Ethernet interface, a fiber optic interface, an ATM interface, etc.; the user device can be a display screen (Display), a keyboard (Keyboard), etc.

[0120] The memory can be various types of storage media, such as random access memory (RAM), read-only memory (ROM), non-volatile RAM (NVRAM), flash memory, optical memory, hard disk, programmable ROM (PROM), erasable PROM (EPROM), electrically erasable PROM (EEPROM), etc.

[0121] The processor can be a general-purpose processor, which can call the program for calculating the additional hydrodynamic mass of the bridge pier cap structure stored in the memory and execute the method for calculating the additional hydrodynamic mass of the pier cap provided in the embodiments of the present application. For example, the general-purpose processor can be a central processing unit (CPU). Among them, the method executed when the program for calculating the additional hydrodynamic mass of the bridge pier cap structure is called can refer to the various embodiments of the method for calculating the additional hydrodynamic mass of the pier cap in the present application, which will not be elaborated here.

[0122] Those skilled in the art can understand that Figure 18 the hardware structure shown in does not constitute a limitation to the present application, and may include more or fewer components than shown, or combine some components, or have different component arrangements.

[0123] In a fourth aspect, the embodiments of the present application further provide a readable storage medium.

[0124] The readable storage medium of the present application stores a program for calculating the additional hydrodynamic mass of the bridge pier cap structure. When the program for calculating the additional hydrodynamic mass of the bridge pier cap structure is executed by a processor, the steps of the method for calculating the additional hydrodynamic mass of the pier cap as described above are implemented.

[0125] Among them, the method implemented when the program for calculating the additional hydrodynamic mass of the bridge pier cap structure is executed can refer to the various embodiments of the method for calculating the additional hydrodynamic mass of the pier cap in the present application, which will not be elaborated here.

[0126] It should be noted that the serial numbers of the embodiments of the present application above are only for description and do not represent the advantages or disadvantages of the embodiments.

[0127] In the description of the specification, claims and the above-mentioned drawings of this application, the terms "comprising" and "having" and any variations thereof are intended to cover non-exclusive inclusion. For example, a process, method, system, product or device that includes a series of steps or units is not limited to the listed steps or units, but optionally further includes steps or units not listed, or optionally further includes other steps or units inherent to these processes, methods, products or devices. Descriptions such as "first", "second" and "third" are used to distinguish different objects, etc., and do not represent a sequence, nor do they limit that "first", "second" and "third" are different types.

[0128] In the description of the embodiments of this application, words such as "exemplary", "for example" or "for illustration" are used to indicate examples, illustrations or explanations. Any embodiment or design solution described as "exemplary", "for example" or "for illustration" in the embodiments of this application should not be construed as being more preferred or having more advantages than other embodiments or design solutions. Rather, the use of words such as "exemplary", "for example" or "for illustration" is intended to present relevant concepts in a specific manner.

[0129] In the description of the embodiments of this application, unless otherwise specified, " / " means "or". For example, A / B may mean A or B; "and / or" in the text is merely a description of the association relationship of associated objects, indicating that there can be three relationships. For example, A and / or B may mean: A exists alone, A and B exist simultaneously, and B exists alone. In addition, in the description of the embodiments of this application, "a plurality of" means two or more than two.

[0130] In some processes described in the embodiments of this application, a plurality of operations or steps appear in a specific order. However, it should be understood that these operations or steps may not be executed in the order in which they appear in the embodiments of this application or may be executed in parallel. The serial numbers of the operations are only used to distinguish different operations, and the serial numbers themselves do not represent any order of execution. In addition, these processes may include more or fewer operations, and these operations or steps may be executed in sequence or in parallel, and these operations or steps may be combined.

[0131] Through the description of the above embodiments, those skilled in the art can clearly understand that the above-described embodiment methods can be implemented by means of software plus a necessary general hardware platform. Of course, they can also be implemented by hardware, but in many cases the former is a better implementation method. Based on such an understanding, the technical solution of this application, in essence, or the part that contributes to the prior art, can be embodied in the form of a software product. This computer software product is stored in a storage medium as described above (such as ROM / RAM, magnetic disk, optical disc), and includes several instructions for causing a terminal device to execute the methods described in the various embodiments of this application.

[0132] The above are only the preferred embodiments of the present application, and do not limit the patent scope of the present application accordingly. Any equivalent structure or equivalent process transformation made by using the content of the specification and drawings of the present application, or directly or indirectly applied in other related technical fields, shall be similarly included in the patent protection scope of the present application.

Claims

1. A method for calculating the additional mass of the seismic water of a bridge cap structure, characterized in that: The method for calculating the additional mass of the foundation seismic water includes: Select one of the circular, rectangular, rounded rectangular or chamfered rectangular caps, and determine the cap structure parameters of the selected cap; If the foundation is circular or rectangular, the additional mass of the circular or rectangular foundation caused by earthquake water is calculated based on the structural parameters of the circular or rectangular foundation and the distance parameters from the bottom of the foundation to the water surface; If the foundation is selected to be a rounded rectangle or a chamfered rectangle, the seismic water-induced additional mass of the foundation regarded as a rectangular foundation is calculated based on the structural parameters of the rounded rectangle or chamfered rectangle foundation and the distance parameters from the bottom of the foundation to the water surface, and the seismic water-induced additional mass of the rounded rectangle or chamfered rectangle foundation is calculated based on the shape coefficient equation.

2. The method for calculating the additional mass of the seismic water of the bridge cap structure according to claim 1, characterized in that: If the foundation is circular or rectangular, the additional mass of the circular or rectangular foundation caused by earthquake water is calculated based on the structural parameters of the circular or rectangular foundation and the distance parameters from the bottom of the foundation to the water surface, including: If the selected foundation type is circular, the seismic water additional mass of the circular foundation is calculated based on the water density, the diameter of the circular foundation, the thickness of the circular foundation, the seismic water additional mass coefficient 1 and the distance from the bottom of the circular foundation to the water surface.

3. The method for calculating the additional mass of the seismic water of the bridge cap structure according to claim 1, characterized in that: If the foundation is circular or rectangular, the additional mass of the circular or rectangular foundation caused by earthquake water is calculated based on the structural parameters of the circular or rectangular foundation and the distance parameters from the bottom of the foundation to the water surface, including: If the selected cap type is rectangular, the seismic water additional mass of the rectangular cap is calculated based on the water density, the length of the rectangular cap, whose length direction is parallel to the seismic motion input direction, the width of the rectangular cap, whose width direction is perpendicular to the seismic motion input direction, the thickness of the rectangular cap, the seismic water additional mass coefficient 2, the seismic water additional mass coefficient 3, the parameter S and the distance from the bottom of the rectangular cap to the water surface; among which, when the cap is partially submerged, the parameter S is equal to the distance from the bottom of the rectangular cap to the water surface, and when the cap is completely submerged, the parameter S is equal to the thickness of the rectangular cap.

4. The method for calculating the additional mass of the bridge cap structure caused by earthquake water motion according to claim 1, characterized in that: If the foundation is selected to be a rounded rectangle or a chamfered rectangle, the additional mass of the seismic water flow of the foundation regarded as a rectangular foundation is calculated based on the structural parameters of the foundation of the rounded rectangle or the chamfered rectangle and the distance parameters from the bottom of the foundation to the water surface, and the additional mass of the seismic water flow of the foundation of the rounded rectangle or the chamfered rectangle is calculated based on the shape coefficient equation, including: If the selected cap type is a rounded rectangle, the additional mass of the seismic water flow considered as a rectangular cap is calculated based on the length of the rounded rectangle cap, the width of the rounded rectangle cap, the thickness of the rounded rectangle cap, the parameter S and the distance parameter from the bottom of the rounded rectangle cap to the water surface; when the cap is partially submerged, the parameter S is equal to the distance from the bottom of the rounded rectangle cap to the water surface, and when the cap is completely submerged, the parameter S is equal to the thickness of the rounded rectangle cap; Based on the seismic water added mass and shape coefficient equation of a rectangular cap, the seismic water added mass of a rounded rectangular cap is calculated.

5. The method for calculating the additional mass of the bridge cap structure caused by earthquake water as claimed in claim 4, characterized in that: Before calculating the seismic water added mass of the rounded rectangular cap based on the seismic water added mass and shape coefficient equation of the rectangular cap, the method further includes: The shape coefficient equation is calculated based on the length of the rounded rectangular abutment, the width of the rounded rectangular abutment and the rounded corners of the rounded rectangular abutment.

6. The method for calculating the additional mass of the bridge cap structure caused by earthquake water motion according to claim 1, characterized in that: If the foundation is selected to be a rounded rectangle or a chamfered rectangle, the additional mass of the seismic water flow of the foundation regarded as a rectangular foundation is calculated based on the structural parameters of the foundation of the rounded rectangle or the chamfered rectangle and the distance parameters from the bottom of the foundation to the water surface, and the additional mass of the seismic water flow of the foundation of the rounded rectangle or the chamfered rectangle is calculated based on the shape coefficient equation, including: If the selected cap type is chamfered rectangle, the additional mass of the seismic water flow considered as a rectangular cap is calculated based on the length of the chamfered rectangular cap, the width of the chamfered rectangular cap, the thickness of the chamfered rectangular cap, the parameter S and the distance parameter from the bottom of the chamfered rectangular cap to the water surface; when the cap is partially submerged, the parameter S is equal to the distance from the bottom of the rounded rectangular cap to the water surface, and when the cap is completely submerged, the parameter S is equal to the thickness of the rounded rectangular cap; Based on the seismic water added mass and shape coefficient equation of a rectangular cap, the seismic water added mass of a chamfered rectangular cap is calculated.

7. The method for calculating the additional mass of the bridge cap structure caused by earthquake water motion according to claim 6, characterized in that: Before calculating the seismic water added mass of the chamfered rectangular cap based on the seismic water added mass and shape coefficient equation of the rectangular cap, the method further includes: The shape coefficient equation is calculated based on the length of the chamfered rectangular abutment, the width of the chamfered rectangular abutment, and the chamfer of the chamfered rectangular abutment.

8. A device for calculating the additional mass of earthquake water in bridge cap structure, characterized in that: The device for calculating the additional mass of the seismic water of the bridge abutment structure comprises: A module for determining the type of a cap and the cap structure parameters, which is used to select one of the circular, rectangular, rounded rectangular or chamfered rectangular caps, and determine the cap structure parameters of the selected cap; The first module for calculating the additional mass of the seismic water of the foundation, which is used to calculate the additional mass of the seismic water of the circular or rectangular foundation based on the structural parameters of the circular or rectangular foundation and the distance parameters from the bottom of the foundation to the water surface if the foundation is selected to be circular or rectangular; The second module for calculating the additional mass of seismic water caused by the foundation is used to calculate the additional mass of seismic water caused by the foundation regarded as a rectangular foundation based on the foundation structure parameters of the rounded rectangle or chamfered rectangle and the distance parameters from the bottom of the foundation to the water surface if the foundation is selected as a rounded rectangle or a chamfered rectangle, and to calculate the additional mass of seismic water caused by the foundation regarded as a rectangular foundation based on the shape coefficient equation.

9. A device for calculating the additional mass of earthquake water in bridge cap structure, characterized in that: The device for calculating the seismic water-added mass of a bridge cap structure comprises a processor, a memory, and a program for calculating the seismic water-added mass of a bridge cap structure stored in the memory and executable by the processor. When the program for calculating the seismic water-added mass of a bridge cap structure is executed by the processor, the steps of the method for calculating the seismic water-added mass of a bridge cap structure as described in any one of claims 1 to 7 are implemented.

10. A computer-readable storage medium, characterized in that: The computer-readable storage medium stores a bridge cap structure seismic water-induced seismic mass calculation program, wherein when the bridge cap structure seismic water-induced seismic mass calculation program is executed by a processor, the steps of the bridge cap structure seismic water-induced seismic mass calculation method as described in any one of claims 1 to 7 are implemented.

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