A method for calculating centralized pile-soil interaction damping in offshore monopile foundations, and a storage medium.

Abstract

This invention relates to a method and storage medium for calculating the centralized pile-soil interaction damping of a marine monopile foundation. The calculation method includes: S1, obtaining the soil element damping ratio-cyclic shear strain curve of the target site soil layer; S2, calculating the pile-soil interaction damping of the monopile foundation at the p-y spring level; S3, calculating the pile deformation along the depth direction of the monopile under the target cyclic load amplitude; S4, based on the pile displacement response in S3, calculating the maximum elastic potential energy stored in the soil spring and the dissipated energy at each p-y spring; S5, calculating the strain energy stored in the bending deformation of the pile; S6, integrating along the pile length direction to calculate the energy dissipated W by all p-y springs. D and all elastic properties W S S7. Calculate the global damping ratio of the pile-soil interaction in a single pile foundation. Compared with existing technologies, this invention can consider the actual soil layer distribution and the damping-strain characteristics of each soil layer, resulting in more accurate calculation results; the method is simple, easy to operate, and has high application value.

Description

Technical Field

[0001] This invention relates to the field of offshore wind power and oil and gas monopile foundation technology, and in particular to a method for calculating and storing the centralized pile-soil interaction damping of offshore monopile foundations. Background Technology

[0002] The load response of large-diameter monopiles depends on the pile-soil interaction stiffness and pile-soil interaction damping. The pile-soil interaction stiffness has a significant impact on the overall frequency of offshore wind turbines and is crucial for accurately predicting fatigue damage to the turbine structure. In most cases, it will dominate the size design of the wind turbine foundation and even affect the type of offshore wind turbine foundation. Pile-soil interaction damping plays a positive role in reducing wind turbine loads and fatigue damage to monopil foundations, especially under shutdown conditions and anisotropic wind and wave conditions. However, compared with pile-soil interaction stiffness, research on pile-soil interaction damping for offshore wind turbines is still lacking, and no consensus has been reached within the industry.

[0003] To address this issue, previous research has primarily focused on exploring methods for calculating pile-soil interaction stiffness through experiments and theoretical analysis. For example, various empirical formulas and numerical models for predicting the stiffness of single piles in different soil layers have been established using experimental methods such as resonant column tests, pressure plate tests, and centrifuge model tests, combined with field load test data. These studies have provided important basis for the design of offshore wind turbine foundations. However, in the study of damping characteristics, the accurate calculation of pile-soil interaction damping faces significant challenges due to the nonlinearity, anisotropy, and complex behavior of soil under cyclic loading.

[0004] Currently, some simplified methods used in engineering practice, such as empirical estimation based on the equivalent viscous damping ratio, often fail to fully reflect the damping characteristics of soil under cyclic loading, leading to significant discrepancies between calculation results and actual conditions. Furthermore, existing damping calculation methods mostly focus on the damping characteristics of the soil itself, with limited systematic research on pile-soil interaction damping. There is a lack of a method that can comprehensively consider pile-soil interaction and accurately calculate damping characteristics. Summary of the Invention

[0005] The purpose of this invention is to overcome the shortcomings of the existing technology by providing a method and storage medium for calculating the centralized pile-soil interaction damping of offshore monopile foundations. This method involves accurately obtaining the damping ratio-cyclic shear strain curve of the soil layer and, by introducing a mapping coefficient, adjusting... p - yThe stiffness and damping parameters of the spring model comprehensively consider the bending deformation of the pile body and the nonlinear damping characteristics of the soil, thereby achieving accurate calculation of the global damping ratio of the pile-soil interaction in a single pile foundation. This invention not only improves the scientific rigor and accuracy of offshore wind turbine foundation design, but also has significant implications for optimizing foundation design, reducing engineering costs, and extending turbine service life.

[0006] The applicant argued that, under normal operating conditions, foundation damping contributes the second largest to the overall wind turbine damping, second only to aerodynamic damping. Under shutdown conditions, aerodynamic damping is negligible, making foundation damping the most significant contributor. Due to the lack of detailed methods in current design guidelines, foundation damping is often overlooked in the design of offshore wind turbines. Since offshore wind turbines typically experience wave loads at frequencies below 1Hz, radiation damping is negligible, and only foundation viscous damping needs to be considered.

[0007] The applicant further argued during the conceptualization process that the essence of pile-soil interaction viscous damping is the energy loss dissipated by the soil within the pile foundation's movement range under cyclic shear stress. At the microscopic level, the energy dissipation of each soil element is related to the material's inherent damping characteristics and the amplitude of the cyclic shear strain it experiences. Based on this, the applicant, through extensive finite element parametric analysis, discovered that... p - y At the spring level, the damping characteristics of pile-soil interaction can be readily obtained from the damping characteristics of the soil at the element level. Using this model, the damping characteristics of pile-soil interaction can be quickly evaluated based on the measured damping characteristics of the actual project site's geotechnical materials without the need for three-dimensional finite element analysis and post-processing. p - y The damping ratio model captures the characteristics of the nonlinear response of the pile-soil damping ratio and takes into account the influence of the foundation soil properties on the pile-soil damping ratio.

[0008] The objective of this invention can be achieved through the following technical solutions:

[0009] The first aspect of this invention provides a method for calculating the concentrated pile-soil interaction damping of a marine monopile foundation, comprising the following steps:

[0010] S1. Obtain the soil element damping ratio-cyclic shear strain curve of the soil layer at the target site;

[0011] S2. Based on the soil element damping ratio-cyclic shear strain curve, calculate... p - y Spring-layer monopile foundation pile-soil interaction damping;

[0012] S3. Calculate the pile deformation along the depth direction of a single pile under the target cyclic load amplitude to obtain the pile displacement response;

[0013] S4. Based on the pile displacement response in S3, calculate each p - y The maximum elastic potential energy stored in the spring and the energy dissipated by the spring.

[0014] S5. Calculate the strain energy stored in the bending deformation of the pile body;

[0015] S6. Integrate along the pile length direction, integrating the energy calculated in steps S4 and S5 to calculate the total energy. p - y Energy dissipated by the spring W D and all elastic properties W S ;

[0016] S7. Based on the calculation obtained in step S6 W D and W S The global damping ratio of the pile-soil interaction in a single pile foundation is calculated to complete the calculation of the concentrated pile-soil interaction damping of a single pile foundation at sea.

[0017] Furthermore, in S1, the soil element damping ratio-cyclic shear strain curve of the target site soil layer is obtained from data acquired in one of the following ways:

[0018] 1) Data obtained by experimental methods, i.e., data obtained by combined testing with resonant column and cyclic single shear or cyclic triaxial methods;

[0019] 2) Data obtained through empirical methods, including data calculated using the damping ratio model by Derendeli (2001).

[0020] In S1, the Derendeli (2001) damping ratio model is as follows:

[0021]

[0022]

[0023]

[0024]

[0025]

[0026]

[0027]

[0028]

[0029]

[0030] in: γ For cyclic shear strain γ r Reference shear strain (%) d min The small strain damping ratio (%) of the material. a The curve shape parameter φ5 is equal to, b This is the scaling factor. d Adiusted The damping ratio (%) of the adjusted material. σ′ 0 represents the average effective confining pressure (atm). PI Plasticity index (%) OCR It is an over-consolidation ratio. frq For loading frequency, N φ is the number of iterations. i For calculating parameters, G / G max This is the normalized shear modulus.

[0031] Furthermore, in S2, the stated p - y The spring model is a mechanical model that describes the interaction between piles and soil. This mechanical model can simulate the deformation and bearing characteristics of piles in soil.

[0032] Furthermore, S2 specifically includes the following processes:

[0033] (a) Determine the mapping coefficient: Based on the dynamic characteristics of the soil element and the stress-strain relationship of the soil, determine the mapping coefficient, which can convert the nonlinear damping characteristics of the soil into equivalent linear parameters. The mapping coefficient is determined by experimental data analysis, empirical formulas or numerical simulation methods.

[0034] (b) Applying mapping coefficients: Applying the determined mapping coefficients to... p - y In the spring model, by adjusting the stiffness and damping parameters of the spring layer and introducing a mapping coefficient, the following can be achieved: p - y Spring models can more accurately simulate the damping behavior of soil under different stress levels;

[0035] (c) Calculate pile-soil interaction damping: in the adjusted p - y Based on the spring model, the pile-soil interaction damping of a single pile foundation at each spring level is calculated.

[0036] Furthermore, in S3, finite element software is used to model and calculate the pile deformation along the depth direction of the single pile under the target cyclic load amplitude based on the single pile parameters and site conditions.

[0037] Furthermore, S4 specifically includes:

[0038] Calculate each p - y The maximum elastic potential energy stored in the spring. W S_ p - y _i and dissipated energy W D_i ;

[0039]

[0040]

[0041] in: p i , y i The first i The reaction force of the spring and the horizontal displacement, d i For the first i The damping ratio of the root spring, p i , d i All can be based on the first i root p - y Horizontal displacement of the spring y i Sure;

[0042] S5 specifically includes: calculating the strain energy stored in the bending deformation of the pile body, the first... i The strain energy of the pile segment is calculated by the following formula:

[0043]

[0044] in: M i For the first i root p - y Bending moment at the spring section, ∆ θ i For the first i Root and First i +1 piece p - y The change in the rotation angle of the pile body cross section between the springs.

[0045] Furthermore, S6 specifically includes:

[0046] Integrate along the length of the pile to calculate the total. p - y Energy dissipated by the spring W D and all elastic properties W S :

[0047]

[0048] .

[0049] Furthermore, S7 specifically includes:

[0050] Based on the calculation in step S6 W D and W S， Calculate the global damping ratio using the following formula:

[0051] .

[0052] A second aspect of the present invention provides a storage medium containing computer-executable instructions, which, when executed by a computer processor, is used to perform the above-described method for calculating the concentrated pile-soil interaction damping of a marine monopile foundation.

[0053] Compared with the prior art, the present invention has the following technical advantages:

[0054] 1. The method for calculating the concentrated pile-soil interaction damping of marine monopile foundations described in this invention has a clear theory, a simple method, is easy to operate, and has high application value.

[0055] 2. The method for calculating the damping of centralized pile-soil interaction in marine monopile foundations described in this invention, combined with the monopile mud surface stiffness matrix, can calculate the monopile mud surface damping coefficient matrix.

[0056] 3. The method for calculating the centralized pile-soil interaction damping of a single-pile foundation for offshore applications described in this invention can be used as input to wind turbine integrated time-domain analysis software (such as Bladed and OpenFAST) to study the influence of the pile-soil interaction damping of the single-pile foundation on the dynamic response of the wind turbine structure. Attached Figure Description

[0057] Figure 1 This is a schematic diagram illustrating the core principle of centralized pile-soil structure calculation for offshore monopile foundations in this invention.

[0058] Figure 2 This is the cyclic shear strain-damping ratio curve of the clay of this invention;

[0059] Figure 3 This is the cyclic shear strain-damping ratio curve of the sand in this invention;

[0060] Figure 4 This invention relates to the mapping relationship between soil element damping ratio-cyclic shear strain and pile-soil interaction damping-single pile deformation.

[0061] Figure 5 For the clay site of this invention p - y Spring-layer monopile foundation pile-soil interaction damping;

[0062] Figure 6 For the sandy soil site of this invention p - y Spring-layer monopile foundation pile-soil interaction damping;

[0063] Figure 7 This refers to the amplitude of the pile displacement response in this invention;

[0064] Figure 8 This is the normalized stress-strain curve of the clay layer in this invention. Detailed Implementation

[0065] Overall, this invention mainly provides a method for calculating the centralized pile-soil interaction damping of offshore monopile foundations, belonging to the technical field of offshore wind power and oil and gas monopile foundations. The method includes the following steps: S1, obtaining the soil element damping ratio-cyclic shear strain curve of the target site soil layer; S2, calculating the pile-soil interaction damping of the monopile foundation at the py spring level; S3, calculating the pile deformation along the depth direction of the monopile under the target cyclic load amplitude; S4, based on the pile displacement response in S3, calculating the maximum elastic potential energy stored in the soil spring and the dissipated energy at each py spring; S5, calculating the strain energy stored in the bending deformation of the pile; S6, integrating along the pile length direction to calculate the energy dissipated by all py springs (WD) and the total elastic energy (WS); S7, calculating the global damping ratio of the pile-soil interaction of the monopile foundation. It has advantages such as taking into account the actual soil layer distribution and the damping-strain characteristics of each soil layer, resulting in more accurate calculation results; simple method, easy operation, and high application value; it can provide input for wind turbine integrated time domain analysis software to explore the load reduction effect of pile-soil interaction damping on the dynamic response of wind turbine structure, and provide support for the optimized design of offshore monopile foundations.

[0066] The present invention will now be described in detail with reference to the accompanying drawings and specific embodiments. In the description of this application, it should be understood that the terms "left side," "right side," "upper part," "lower part," etc., indicating the orientation or positional relationship are based on the orientation or positional relationship shown in the accompanying drawings and are only for the convenience of describing the present 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. Terms such as "first" and "second" do not indicate the importance of components and therefore should not be construed as limiting the present invention. The specific dimensions used in this embodiment are only for illustrating the technical solution and do not limit the scope of protection of the present invention.

[0067] Unless otherwise specified in this technical solution, the component model, material name, connection structure, control method, algorithm, and other features are considered to be common technical features disclosed in the prior art.

[0068] Example 1

[0069] like Figure 1 As shown, this invention provides a method for calculating the concentrated pile-soil interaction damping of a marine monopile foundation. The method can be performed using either Python or Excel software and includes the following steps:

[0070] S1. Obtain the soil element damping ratio-cyclic shear strain curve of the target site soil layer. There are two options for this step: 1) Indoor test method, using a combination of resonant column (≤0.01% strain level) and cyclic single shear or cyclic triaxial (≥0.1% strain level); 2) Empirical method, if there is a lack of test data of soil element damping ratio-cyclic shear strain curve, an empirical method can be used, such as the damping ratio calculation by Derendel (2001).

[0071] Derendeli (2001) proposed the following damping ratio model:

[0072]

[0073]

[0074]

[0075]

[0076]

[0077]

[0078]

[0079]

[0080]

[0081] in: γ For cyclic shear strain γ r Reference shear strain (%) d min The small strain damping ratio (%) of the material. a The curve shape parameter φ5 is equal to, b This is the scaling factor. d Adiusted The damping ratio (%) of the adjusted material. σ′ 0 represents the average effective confining pressure (atm). PI Plasticity index (%) OCR It is an over-consolidation ratio. frq For loading frequency, N φ is the number of iterations. i For calculating parameters, G / G max This is the normalized shear modulus.

[0082] There are two different sets of calculation parameters for sandy soil and clay soil.

[0083] Mixed sand:

[0084] φ1=0.0334, φ2=-0.0001, φ3=0.2490, φ4=0.4820, φ5=0.8450, φ6=0.8890, φ7=0.0202, φ8=-0.1000, φ9=-0.3720,φ 10 =0.2330, φ 11 =0.7760, φ 12 =-0.0294.

[0085] Clay:

[0086] =0.0258, =0.0020, =0.0992, =0.2260, =0.9750, =0.9580, =0.0057, =-0.1000, =-0.1960, =0.3680, =0.4660, =0.0223.

[0087] like Figure 2 and Figure 3 As shown, the cyclic shear strain-damping ratio curves of clay and sand at a certain target site were obtained through a combination of indoor resonant column test and dynamic single shear test.

[0088] S2, Calculation p - y The pile-soil interaction damping of the spring-layer monopile foundation is derived directly from the soil element damping ratio and cyclic shear strain, as proposed by the applicant. p - y Spring-layer monopile foundation pile-soil interaction damping, such as Figure 4 As shown, the mapping coefficient is 3.6; Figure 5 and Figure 6 For clay and sandy soil sites p - y Spring-layer monopile foundation pile-soil interaction damping.

[0089] S3. Calculate the pile deformation along the depth direction of a single pile under the target cyclic load amplitude. This step can be obtained by modeling and calculating the single pile and site conditions using marine engineering software such as SACS and Abaqus.

[0090] Table 1 shows the main soil and rock parameters of the target site. The single pile foundation has a diameter of 10m, a wall thickness of 0.1m, and a penetration depth of 45m. Based on the above soil and single pile parameters, modeling and calculations were performed to obtain the pile displacement response amplitude. Figure 7 As shown. It should be noted that the pile displacement response amplitude is calculated using Abaqus software in this embodiment; therefore, the choice of software used to calculate the pile displacement response in this step is not limited by this invention.

[0091] Table 1

[0092]

[0093] S4. Based on the pile displacement response in S3, calculate each p - y The maximum elastic potential energy stored in the spring. W S_ p - y _i and dissipated energy W D_i ;

[0094]

[0095]

[0096] Where: pi and yi are the reaction force and horizontal displacement of the i-th spring, respectively, and di is the damping ratio of the i-th spring. pi and di can both be determined from the i-th spring. p - y The horizontal displacement yi of the spring is determined.

[0097] Based on the pile displacement response in S3, and according to sand and clay... p - y Calculation method to obtain p - y Spring reaction force and according to each p - y The horizontal displacement of the spring determines its corresponding damping ratio. Each spring is calculated according to Equation 21. p - y The maximum elastic potential energy stored in the spring is determined by the formula. Calculate each p - y The energy dissipated by the spring.

[0098] In this embodiment, the clay layer employs the pile-soil interaction model for calculating a single pile from the soil stress-strain curve, as proposed by the applicant. Figure 8 As shown, the normalized stress-strain curve for the clay layer is input, and the sand layer uses the current API sand curve. p - y Spring. Calculations are performed along the depth direction of the pile. p - y The maximum elastic potential energy of the spring and the energy dissipated. It should be noted that in this embodiment... p - y The spring only protects the pile soil calculated based on the soil stress-strain relationship proposed by the applicant. p - y The spring curve method, however, can be replaced by any other method for this step. p - y Spring model, this invention applies to various types of piles and soils. p - y The spring model is not restricted, but this step is used... p - y The spring is protected by calculating the secant stiffness.

[0099] S5. Calculate the strain energy stored in the bending deformation of the pile body. The strain energy of the i-th segment of the pile body can be calculated by the following formula:

[0100]

[0101] Where: Mi is the i-th root p - y The bending moment at the section of the spring, ∆θi, is the bending moment of the i-th and (i+1)-th springs. p - yThe change in the rotation angle of the pile body cross section between the springs.

[0102] Calculate the pile body based on the pile head load. p - y The bending moment at the spring section is calculated using formula 23 to determine the strain energy stored in the bending deformation of the pile body.

[0103] S6. Integrate along the pile length direction to calculate the total. p - y The energy dissipated by the spring (WD) and the total elastic energy (WS):

[0104]

[0105] For each py Sum the dissipated energy of the springs, then for each py The elastic energy of the spring is summed with the elastic energy stored by the deformation of the pile.

[0106] S7. Calculate the global damping ratio of pile-soil interaction in a single pile foundation:

[0107]

[0108] Finally, the global damping ratio of the pile-soil interaction in a single pile foundation is calculated.

[0109] In summary, this application proposes an innovative centralized method for calculating the damping of pile-soil interaction in a single pile, the theory of which has been rigorously verified.

[0110] This embodiment also proposes a computer-readable storage medium storing computer instructions for instructing a computer to execute the aforementioned method for calculating the centralized pile-soil interaction damping of a marine monopile foundation. The storage medium can be an electronic medium, magnetic medium, optical medium, electromagnetic medium, infrared medium, or a semiconductor system or propagation medium. The storage medium may also include semiconductor or solid-state memory, magnetic tape, removable computer disk, random access memory (RAM), read-only memory (ROM), hard disk, and optical disc. Optical discs may include optical disc-read-only memory (CD-ROM), optical disc-read / write (CD-RW), and DVD.

[0111] Those skilled in the art will understand that, unless otherwise defined, all terms used herein (including technical and scientific terms) have the same meaning as commonly understood by one of ordinary skill in the art to which this application pertains. It should also be understood that terms such as those defined in general dictionaries should be understood to have the same meaning as in the context of the prior art, and should not be interpreted in an idealized or overly formal sense unless defined as herein.

[0112] The above description of the embodiments is provided to enable those skilled in the art to understand and use the invention. It will be apparent to those skilled in the art that various modifications can be made to these embodiments, and the general principles described herein can be applied to other embodiments without inventive effort. Therefore, the present invention is not limited to the above embodiments, and any improvements and modifications made by those skilled in the art based on the disclosure of the present invention without departing from the scope of the invention should be within the protection scope of the present invention.

Claims

1. A method for calculating the damping of concentrated pile-soil interaction in offshore monopile foundations, characterized in that, Includes the following steps: S1. Obtain the soil element damping ratio-cyclic shear strain curve of the soil layer at the target site; S2. Based on the soil element damping ratio-cyclic shear strain curve, calculate... p - y Spring-layer monopile foundation pile-soil interaction damping; S3. Calculate the pile deformation along the depth direction of a single pile under the target cyclic load amplitude to obtain the pile displacement response; S4. Based on the pile displacement response in S3, calculate each p - y The maximum elastic potential energy stored in the spring and the energy dissipated by the spring. S5. Calculate the strain energy stored in the bending deformation of the pile body; S6. Integrate along the pile length direction, integrating the energy calculated in steps S4 and S5 to calculate the total energy. p - y Energy dissipated by the spring W D and all elastic properties W S ; S7. Based on the calculation obtained in step S6 W D and W S Calculate the global damping ratio of the pile-soil interaction of a single pile foundation, thereby completing the calculation of the concentrated pile-soil interaction damping of a single pile foundation at sea; In S1, the soil element damping ratio-cyclic shear strain curve of the target site soil layer is obtained from data acquired in one of the following ways: 1) Data obtained by experimental methods, i.e., data obtained by combined testing with resonant column and cyclic single shear or cyclic triaxial methods; 2) Data obtained through empirical methods, including data calculated using the Derendeli 2001 version of the damping ratio model; S2 specifically includes the following processes: (a) Determine the mapping coefficient: Based on the dynamic characteristics of the soil element and the stress-strain relationship of the soil, determine the mapping coefficient, which can convert the nonlinear damping characteristics of the soil into equivalent linear parameters. The mapping coefficient is determined by experimental data analysis, empirical formulas or numerical simulation methods. (b) Applying mapping coefficients: Applying the determined mapping coefficients to... p - y In the spring model, by adjusting the stiffness and damping parameters of the spring layer and introducing a mapping coefficient, the following can be achieved: p - y Spring models can more accurately simulate the damping behavior of soil under different stress levels; (c) Calculate pile-soil interaction damping: in the adjusted p - y Based on the spring model, the pile-soil interaction damping of a single pile foundation at each spring level is calculated. S7 specifically includes: Based on the calculation in step S6 W D and W S The global damping ratio is calculated using the following formula: 。 2. The method for calculating the concentrated pile-soil interaction damping of a marine monopile foundation according to claim 1, characterized in that, In S1, the damping ratio model of the Derendeli 2001 version is as follows: in: γ For cyclic shear strain γ r Reference shear strain (%) d min The small strain damping ratio (%) of the material. a The curve shape parameter φ5 is equal to, b This is the scaling factor. d Adiusted The damping ratio (%) of the adjusted material. σ′ 0 represents the average effective confining pressure (atm). PI Plasticity index (%) OCR It is an over-consolidation ratio. frq For loading frequency, N φ is the number of iterations. i For calculating parameters, G / G max This is the normalized shear modulus.

3. The method for calculating the concentrated pile-soil interaction damping of a marine monopile foundation according to claim 1, characterized in that, In S2, the p - y The spring model is a mechanical model that describes the interaction between piles and soil. This mechanical model can simulate the deformation and bearing characteristics of piles in soil.

4. The method for calculating the concentrated pile-soil interaction damping of a marine monopile foundation according to claim 1, characterized in that, In S3, finite element software is used to model and calculate the pile deformation along the depth direction of a single pile under the target cyclic load amplitude based on the single pile parameters and site conditions.

5. The method for calculating the concentrated pile-soil interaction damping of a marine monopile foundation according to claim 1, characterized in that, S4 specifically includes: Calculate each p - y The maximum elastic potential energy stored in the spring. W S_ p - y _i and dissipated energy W D_i ; in: p i , y i The first i The reaction force of the spring and the horizontal displacement, d i For the first i The damping ratio of the root spring, p i , d i All can be based on the first i root p - y Horizontal displacement of the spring y i Sure; S5 specifically includes: calculating the strain energy stored in the bending deformation of the pile body, the first... i The strain energy of the pile segment is calculated by the following formula: in: M i For the first i root p - y Bending moment at the spring section, ∆ θ i For the first i Root and First i +1 piece p - y The change in the rotation angle of the pile body cross section between the springs.

6. The method for calculating the concentrated pile-soil interaction damping of a marine monopile foundation according to claim 1, characterized in that, S6 specifically includes: Integrate along the length of the pile to calculate the total. p - y Energy dissipated by the spring W D and all elastic properties W S : 。 7. A storage medium containing computer-executable instructions, characterized in that, The storage medium for the computer-executable instructions, when executed by a computer processor, is used to perform the calculation method for centralized pile-soil interaction damping of a marine monopile foundation as described in any one of claims 1 to 6.

Images