Floating type wind power foundation fatigue analysis method, electronic equipment and computer readable storage medium
By using finite element modeling and Markov matrix analysis, unit groups that meet fatigue life requirements are screened out, solving the accuracy and efficiency problems of fatigue analysis in the design of large-scale floating wind turbine foundations and achieving efficient fatigue life assessment.
Patent Information
- Application Number
- CN202511101690.4
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-08-07
- Publication Date
- 2025-09-05
- Estimated Expiration
- 2045-08-07
AI Technical Summary
Existing technologies make it difficult to perform accurate and efficient fatigue analysis in the design of large-scale floating wind turbine foundations, especially due to the large computational workload caused by complex wind, wave and current loads and nonlinear characteristics, which makes it difficult to meet the time requirements of engineering projects.
Finite element modeling is used to divide the floating wind turbine foundation into several unit groups. The fatigue damage of the unit groups is calculated by equivalent fatigue load and Markov matrix analysis method. Combined with time domain analysis, the units that do not meet the threshold are verified, and the unit groups that meet the fatigue life requirements are gradually screened out to reduce the number of time domain analyses.
It improves the accuracy and efficiency of fatigue analysis, reduces the number of units in time domain analysis, and is suitable for the design of large-scale floating wind turbine foundations.
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Figure CN120597658A_ABST
Abstract
Description
Technical Field
[0001] The present invention belongs to the field of structural fatigue analysis, and in particular relates to a floating wind power foundation fatigue analysis method, electronic equipment and computer-readable storage medium. Background Art
[0002] A floating wind turbine foundation is a floating platform structure used to support wind turbines in deep waters. Its core is to support the weight of the entire wind turbine (including tower, nacelle and blades) through its own buoyancy, and to float it stably at a predetermined position on the water surface. A typical floating foundation structure includes a main floating platform, a ballast system, and a mooring system. The core purpose of fatigue analysis of floating wind turbine foundations is to evaluate and ensure the safety and durability of the structure under long-term complex marine environmental loads. Floating foundations are subjected to cyclic loads of wind, waves, and currents for a long time. Even if the stress is far lower than the ultimate strength of the material, repeated action will cause microcracks and gradually expand, eventually leading to fatigue fracture. By simulating decades of environmental loads, the cumulative damage degree of key connection points is calculated to predict whether the structure can operate safely within its design life.
[0003] Because floating wind turbine foundations are subject not only to loads from wind and wave currents, but also to loads from wind turbines, the load conditions are extremely complex, and the structural response exhibits significant, strongly nonlinear characteristics. Fatigue analysis of floating wind turbine foundation designs is challenging. Using frequency domain analysis methods, the effects of wind turbine loads cannot be considered, nor can nonlinear factors. Using time domain analysis methods, given the large number of hotspot areas on the platform, requires thousands of wind turbine fatigue load calculation conditions, each with a very small calculation step. Using time domain methods exclusively for calculations is labor-intensive and time-consuming, making it difficult to meet the needs of engineering projects and achieving more efficient batch analysis. Accurate and efficient fatigue analysis has significant limitations for large-scale floating wind turbine foundation designs. Summary of the Invention
[0004] In order to solve the problem of accurately and efficiently performing fatigue analysis on a large number of floating wind power foundation designs, a first aspect of a floating wind power foundation fatigue analysis method according to some embodiments of the present application includes: Allocating the elements of the finite element model of the floating wind turbine foundation to obtain a first element group; Calculate the wave-induced fatigue damage of the first unit group, which is the wave-induced fatigue damage of the unit with the largest wave-induced fatigue damage in the first unit group; Calculating the wind-induced fatigue damage of the first unit group based on the equivalent fatigue load analysis method, which is the wind-induced fatigue damage of the unit with the largest wind-induced fatigue damage in the first unit group; Calculate the fatigue damage of the first unit group based on the wave-induced fatigue damage and wind-induced fatigue damage of the first unit group; Merging the first unit groups whose fatigue damage satisfies the damage threshold and whose geometric structures are connected in the first unit group, and merging the first unit groups whose fatigue damage does not satisfy the damage threshold and whose geometric structures are connected in the first unit group, to obtain a second unit group; Calculate the wave-induced fatigue damage of the second unit group, which is the wave-induced fatigue damage of the unit with the largest wave-induced fatigue damage in the second unit group; The wind-induced fatigue damage of the second unit group is calculated based on the Markov matrix analysis method, which is the wind-induced fatigue damage of the unit with the largest wind-induced fatigue damage in the second unit group; Calculate the fatigue damage of the second unit group based on the wave-induced fatigue damage and wind-induced fatigue damage of the second unit group; The second unit group whose fatigue damage does not meet the damage threshold is set as the third unit group, and the wave-induced fatigue damage of the units in the third unit group is calculated; Calculate the wind-induced fatigue damage of the units in the third unit group based on the Markov matrix analysis method; Calculate the fatigue damage of the units in the third unit group based on the wave-induced fatigue damage and wind-induced fatigue damage of the units in the third unit group; The units in the third unit group whose fatigue damage does not meet the damage threshold are subjected to time domain fatigue analysis, and whether the units in the third unit group meet the fatigue life requirement is determined based on the time domain fatigue analysis.
[0005] According to some embodiments of the present application, the floating wind turbine foundation fatigue analysis method includes calculating the wave-induced fatigue damage of the first unit group, including the following steps: Calculate the wave-induced fatigue damage of the units in the first unit group under a certain sea condition and wave direction; Calculate the cumulative wave-induced fatigue damage of the units in the first unit group under various set sea conditions and wave directions; Among them, the cumulative wave-induced fatigue damage of the unit with the largest cumulative wave-induced fatigue damage is the wave-induced fatigue damage of the first unit group; The wave-induced fatigue damage of the first unit group is expressed as follows: Where, Indicates the Wave-induced fatigue damage of the first unit group; Indicates the number of short-term sea conditions; Indicates the number of wave directions; Indicates a certain sea condition probability of occurrence; Indicates a wave direction The probability of occurrence; Indicates sea conditions 、Wave direction Lower Unit Wave-induced fatigue damage; Indicates the First unit group; Indicates the number of first unit groups.
[0006] According to some embodiments of the present application, the floating wind turbine foundation fatigue analysis method includes calculating the wind-induced fatigue damage of the first unit group, including the following steps: Finite element model of applying wind-induced equivalent fatigue loads to floating wind turbine foundations; Calculate the stress of the elements in the first element group, wherein the stress of the element with the largest stress is the stress of the first element group; According to the SN curve and the stress of the first unit group, the allowable number of stress cycles of the first unit group is calculated as shown in the following formula: Where, represents the wind-induced equivalent fatigue load of the first unit group; Indicates the allowable number of stress cycles; represents the intercept constant of the high stress segment; represents the intercept constant of the medium stress segment; represents the intercept constant of the low stress segment; represents the slope of the high stress segment; represents the slope of the medium stress segment; represents the slope of the low stress segment; represents the stress value of the first turning point; represents the stress value of the second turning point; According to the allowable stress cycles of the first unit group and the reference cycles of wind-induced equivalent fatigue damage, the wind-induced fatigue damage of the first unit group is calculated as shown in the following formula: Where, represents the wind-induced fatigue damage of the first unit group; Indicates the benchmark cycle number of wind-induced equivalent fatigue damage; Indicates the allowable number of stress cycles.
[0007] According to some embodiments of the present application, the fatigue analysis method for a floating wind turbine foundation is performed, wherein the fatigue damage of the first unit group is calculated based on the wave-induced fatigue damage and the wind-induced fatigue damage of the first unit group, as shown in the following formula: Where, represents the fatigue damage of the first unit group; represents the wave-induced fatigue damage of the first unit group; represents the wind-induced fatigue damage of the first unit group; Among them, the fatigue damage in the first unit group meets the damage threshold, which is expressed by the following formula: Where, represents fatigue damage in the first unit group; Indicates the design life; Represents the safety factor for fatigue design.
[0008] According to some embodiments of the present application, the floating wind turbine foundation fatigue analysis method includes calculating the wave-induced fatigue damage of the second unit group, including the following steps: Calculate the wave-induced fatigue damage of the units in the second unit group under a certain sea condition and wave direction; Calculate the cumulative wave-induced fatigue damage of the units in the second unit group under various set sea conditions and wave directions; Among them, the cumulative wave-induced fatigue damage of the unit with the largest cumulative wave-induced fatigue damage is the wave-induced fatigue damage of the second unit group; The wave-induced fatigue damage of the second unit group is expressed as follows: M Where, Indicates the Wave-induced fatigue damage of the second unit group; Indicates the number of short-term sea conditions; Indicates the number of wave directions; Indicates a certain sea condition probability of occurrence; Indicates a wave direction The probability of occurrence; Indicates sea conditions 、Wave direction Lower Unit Wave-induced fatigue damage; Indicates the Second unit group; Indicates the number of second unit groups.
[0009] According to some embodiments of the present application, the floating wind turbine foundation fatigue analysis method includes calculating the wind-induced fatigue damage of the second unit group, including the following steps: S10. Applying the corresponding amplitude load of the current working condition of the wind turbine load state to the finite element model of the floating wind turbine foundation; S20. Calculate the stress values of the units in the second unit group under the current working condition, wherein the stress value of the unit with the largest stress value under the current working condition is the stress value of the second unit group under the current working condition, as shown in the following formula: Where, Indicates working conditions No. The stress value of the second unit group; Indicates the The second unit group The stress value of each element; Indicates the number of the second unit group; S30. Calculate the allowable number of fatigue cycles of the second unit group under the current working condition according to the SN curve and the stress value of the second unit group under the current working condition, and record the number of loads under the current working condition; S40. Repeat steps S10 to S30 until all working conditions are traversed to obtain the number of fatigue cycles allowed for the second unit group under all working conditions and the number of load occurrences under all working conditions; According to the number of fatigue allowable cycles of the second unit group under all working conditions and the number of load occurrences under all working conditions, the wind-induced fatigue damage of the second unit group is calculated as shown in the following formula: Where, Indicates the Wind-induced fatigue damage in the second unit group; express Working condition The number of fatigue cycles allowed for each second unit group; express The number of times the load of the working case occurs; Indicates the number of load cases.
[0010] According to some embodiments of the present application, a method for analyzing fatigue of a floating wind turbine foundation is provided, wherein the fatigue damage of the second unit group is calculated based on the wave-induced fatigue damage and the wind-induced fatigue damage of the second unit group, as shown in the following formula: Where, represents the fatigue damage of the second unit group; represents the wave-induced fatigue damage of the second unit group; represents the wind-induced fatigue damage of the second unit group; Among them, the fatigue damage in the second unit group meets the damage threshold, which is shown by the following formula: Where, represents the fatigue damage of the second unit group; Indicates the design life; Represents the safety factor for fatigue design.
[0011] According to some embodiments of the present application, a method for fatigue analysis of a floating wind turbine foundation, wherein calculating the wave-induced fatigue damage of a unit in the third unit group, includes the following steps: Calculate the wave-induced fatigue damage of the units in the third unit group under a certain sea condition and wave direction; Calculate the cumulative wave-induced fatigue damage of the units in the third unit group under various set sea conditions and wave directions, where the cumulative wave-induced fatigue damage is the wave-induced fatigue damage of the units in the third unit group; The wave-induced fatigue damage of the elements in the third element group is expressed by the following formula: Where, Indicates the Units in the third unit group Wave-induced fatigue damage; Indicates the number of short-term sea conditions; Indicates the number of wave directions; Indicates a certain sea condition probability of occurrence; Indicates a wave direction The probability of occurrence; Indicates sea conditions 、Wave direction Lower Unit Wave-induced fatigue damage; Indicates the a third unit group; Indicates the number of third unit groups.
[0012] According to some embodiments of the present application, a method for analyzing fatigue of a floating wind turbine foundation, wherein calculating wind-induced fatigue damage of a unit in the third unit group, includes the following steps: S10. Applying the corresponding amplitude load of the current working condition of the wind turbine load state to the finite element model of the floating wind turbine foundation; S20. Calculate the stress value of the unit in the third unit group of the current working condition, as shown in the following formula: Where, express Working condition Units in the third unit group The stress value of Indicates the number of third unit groups; S30. Calculate the allowable number of fatigue cycles of the units in the third unit group under the current working condition according to the SN curve and the stress value of the units in the third unit group under the current working condition, and record the number of loads occurring under the current working condition; S40. Repeat steps S10 to S30 until all working conditions are traversed to obtain the number of fatigue cycles allowed for the units in the third unit group for all working conditions and the number of load occurrences for all working conditions; According to the number of fatigue cycles allowed for the units in the third unit group under all working conditions and the number of load occurrences under all working conditions, the wind-induced fatigue damage of the units in the third unit group is calculated as shown in the following formula: Where, Indicates the Units in the third unit group Wind-induced fatigue damage, express Working condition Units in the third unit group The allowable number of fatigue cycles; express The number of times the load of the working case occurs; Indicates the number of load cases.
[0013] According to some embodiments of the present application, the fatigue analysis method for a floating wind turbine foundation is performed by calculating the fatigue damage of the unit in the third unit group, as shown in the following formula: Where, Indicates the Units in the third unit group Fatigue damage, Indicates the Units in the third unit group Wave-induced fatigue damage; Indicates the Units in the third unit group wind-induced fatigue damage; Among them, the fatigue damage of the unit in the third unit group does not meet the damage threshold, which is shown by the following formula: Where, Indicates the Units in the third unit group Fatigue damage; Indicates the design life; Represents the safety factor for fatigue design.
[0014] In a second aspect, an embodiment of the present application further provides an electronic device, comprising: one or more processors, a memory, and one or more programs; wherein the one or more programs are stored in the memory, and the one or more programs include instructions, which, when executed by the electronic device, enable the electronic device to execute the first aspect and any possible technical solution of the first aspect thereof.
[0015] In a third aspect, an embodiment of the present application further provides a computer-readable storage medium, which includes a computer program. When the computer program runs on an electronic device, the electronic device executes the first aspect and any possible technical solution of the first aspect.
[0016] Beneficial effects: In the first aspect, the present invention models the wind power foundation using finite elements so that the overall structure is configured as several first unit groups, and then obtains the maximum wave-induced fatigue damage (wave-induced fatigue damage refers to fatigue damage caused by waves) and the maximum wind-induced fatigue damage (wind-induced fatigue damage refers to fatigue damage caused by wind turbine load) of the units in the first unit group. Preferably, the wind-induced fatigue damage adopts an equivalent fatigue load analysis method, and the sum of the two is used as the fatigue damage of the first unit group. The unit analysis of the finite element model is converted into a maximum fatigue damage analysis of the unit group. The fatigue damage of the first unit group is the maximum fatigue damage that the unit group can have. Only the maximum fatigue damage of the unit group is compared with the fatigue threshold instead of comparing the fatigue losses of each unit. According to whether the maximum fatigue damage meets the fatigue threshold requirements, the first unit group is merged, and the area with high fatigue load is adjusted to one group as much as possible to obtain a second unit group. The number of the second unit group is less than that of the first unit group.
[0017] Based on the first aspect, the present invention further obtains the maximum wave-induced fatigue damage and the maximum wind-induced fatigue damage of the units in the second unit group, preferably adopts the Markov matrix analysis method for wind-induced fatigue damage, and takes the sum of the two as the fatigue damage of the second unit group, converts the unit analysis of the finite element model into the maximum fatigue damage analysis of the unit group, and the fatigue damage of the second unit group is the maximum fatigue damage that the unit group can have. The maximum fatigue damage of the unit group is compared with the fatigue threshold to replace the fatigue loss comparison of each unit. If the maximum fatigue damage meets the fatigue threshold requirement, then each unit of the second unit group meets the fatigue life requirement, and the corresponding second unit group does not undergo subsequent judgment. If the maximum fatigue damage meets the fatigue threshold requirement, the second unit group that does not meet the fatigue threshold requirement is grouped as the third unit group according to the original grouping, and the number of the third unit group is less than that of the second unit group.
[0018] Based on the first aspect, the present invention further calculates the ground wave-induced fatigue damage and wind-induced fatigue damage for each unit in the third unit group, group by group, and unit by unit. The sum of the two is used as the unit fatigue damage of the third unit group. The unit fatigue damage is compared with the fatigue threshold. If the unit fatigue damage meets the fatigue threshold requirement, the unit in the third unit group meets the fatigue life requirement, and the corresponding unit in the third unit group is not further judged. If the unit fatigue damage does not meet the fatigue threshold requirement, the unit in the third unit group is subjected to time-domain fatigue analysis. Based on the time-domain analysis, it is determined whether the fatigue life meets the requirement. If it meets the requirement, the judgment is stopped. If it does not meet the requirement, the structural design is optimized or the load conditions are adjusted, and the analysis process can be re-iterated.
[0019] Therefore, the present invention groups units through finite element modeling, and uses different methods to determine wind-induced fatigue damage at different stages, that is, the wind-induced fatigue damage analysis methods of the units in the first unit group, the second unit group, and the third unit group are different. In the first two stages, the present invention uses the above-mentioned unit grouping method, and the maximum fatigue damage set by the present invention is compared with the fatigue threshold at each stage on a unit basis. In the first stage, the groups are merged again according to the fatigue threshold comparison results. In the second stage, the unit groups that meet the fatigue life are judged, and cross-verified with different wind-induced fatigue damage methods to improve the verification accuracy.
[0020] As described above, in the first two stages, the present invention does not determine the unit loss threshold. Instead, it compares the maximum fatigue damage set by the present invention with the fatigue threshold at each stage, grouping and merging the units based on the comparison results in the first stage to reduce the number of groups. In the second stage, the second unit group that meets the fatigue life requirements is determined. The second unit group that does not meet the fatigue threshold requirements in the second stage is grouped as a third unit group. The units are re-verified using the third unit group to further improve verification accuracy. In the third stage, the units in the third unit group that meet the fatigue life requirements are determined. Time domain analysis is only performed on units that do not meet the fatigue life requirements. This greatly reduces the number of units analyzed in the time domain and improves analysis efficiency. This allows for accurate and efficient fatigue analysis of large-scale floating wind turbine foundation designs.
[0021] In the second aspect, the present invention calculates wave-induced fatigue damage, uses the wave energy spectrum density function to describe the sea conditions, uses the dynamic analysis method to calculate the stress transfer function and stress response spectrum of the floating wind turbine foundation, and obtains the probability density function of the short-term distribution of the stress range according to the Rayleigh distribution from the statistical characteristics of the stress response spectrum. The long-term distribution of the stress range is obtained according to the wave scatter diagram of the sea area, and finally uses the Miner linear cumulative damage theory to estimate the fatigue damage, comprehensively considering the wave dynamics phenomena of complex fluids, and improving the reliability of the analysis.
[0022] In the third aspect, the first stage of the present invention uses equivalent fatigue loads to calculate wind-induced fatigue damage. Equivalent fatigue load refers to a constant amplitude load value. When the load is applied a specified number of times, the fatigue damage generated on the target structure is exactly equal to the total fatigue damage generated by the complex variable amplitude load spectrum that the wind turbine withstands in actual operation during the entire design life. Its core significance lies in simplifying the actual irregular and randomly changing loads into a single load amplitude with the same destructive effect, which greatly simplifies the fatigue life calculation and design verification process. The present invention further applies the obtained equivalent fatigue load to the finite element model of the floating wind power foundation to obtain wind-induced fatigue damage. The wind-induced fatigue damage and wave-induced fatigue damage are superimposed to obtain a preliminary screening of the overall fatigue damage of the group, and the grouping is optimized and adjusted according to the preliminary screening results and distribution, and the areas with high fatigue loads are adjusted to one group as much as possible, and the number of groups is reduced to obtain a second unit group to reduce the subsequent calculation amount.
[0023] In a fourth aspect, the present invention performs a superposition calculation of wind-induced fatigue damage and wave-induced fatigue damage based on the maximum value in the second group according to the Markov matrix. The wave-induced fatigue damage caused by the wind turbine load is applied using the Markov matrix to obtain the maximum wind-induced fatigue damage of the second unit group under the entire Markov matrix, and superimposes it with the maximum wave-induced fatigue damage of the second unit group to obtain the combined fatigue damage. The combined fatigue damage is evaluated according to the damage threshold. For the second unit group that meets the requirements, the fatigue life requirements are met and no subsequent judgment is performed. For the second unit group that does not meet the requirements, the corresponding wave-induced fatigue damage and wind-induced fatigue damage of all units in the group are calculated unit by unit. The wave-induced fatigue damage and wind-induced fatigue damage of each unit are superimposed to obtain the combined fatigue damage of each unit. The combined fatigue damage of each unit is evaluated according to the damage threshold. For the units that meet the requirements, the fatigue life requirements are met and no subsequent judgment is performed. For the units that do not meet the requirements, time domain fatigue analysis is performed. The number of units for time domain fatigue analysis is greatly reduced compared to the number of units in the finite element model, which greatly improves the efficiency of batch analysis and ensures accuracy. BRIEF DESCRIPTION OF THE DRAWINGS
[0024] Figure 1 It is a flow chart of the fatigue analysis method for floating wind turbine foundation.
[0025] Figure 2 It is a flow chart of spectrum analysis of fatigue assessment method.
[0026] Figure 3 It is a unit quantity statistics chart. DETAILED DESCRIPTION
[0027] The following describes embodiments of the present application in detail with reference to the accompanying drawings, examples of which are shown in the accompanying drawings. The present application provides a method and an electronic device. The method and device are based on the same technical concept. Since the method and device solve similar problems, the implementation of the device and method can refer to each other, and any repetitions will not be repeated.
[0028] Figure 1 This is a flow chart of the fatigue analysis method for floating wind turbine foundations. Figure 1 As shown, the method includes the following steps: S10. Construct a finite element model of the floating wind turbine foundation, and divide the model into N groups. Each of the N groups is a first unit group, and each first unit group includes a number of units of the finite element model.
[0029] Among them, the grouping of the units of the finite element model is an important basis for simplifying the analysis. The units of the finite element model of the floating wind turbine foundation must be grouped first, and then the groups can be screened as units. Then, the units within the individual groups can be screened, and the number of units requiring time domain analysis can be gradually reduced. This is the so-called lateral unit reduction within the group.
[0030] The initial basis for grouping includes: (1) Structural proximity principle: adjacent and connected structures should be grouped together as much as possible; (2) The locations of structural geometric mutations are divided into different groups; (3) The wind turbine tower area structure is divided into one group; S20. Calculate the wave-induced fatigue damage (based on spectral analysis) of the first unit group, i.e., the wave-induced fatigue loss, comprising the following steps: The present invention adopts a spectral analysis method, which uses a wave energy spectrum density function to describe the sea conditions. Then, a dynamic analysis method is used to calculate the stress transfer function and stress response spectrum of the floating wind turbine foundation. The statistical characteristics of the stress response spectrum are used to obtain the probability density function of the short-term distribution of the stress range according to the Rayleigh distribution. The long-term distribution of the stress range is obtained based on the wave scatter diagram of the sea area. Finally, the fatigue life of the node is estimated using Miner's linear cumulative damage theory.
[0031] like Figure 2 As shown, the spectrum analysis method includes the following steps: S21. Calculate the stress transfer function, which is the circular frequency of the linear dynamic system The ratio of the amplitude of the response process to the amplitude of the input process in the case of a simple resonance. When the input process is a wave and the response process is an alternating stress, the transfer function is the ratio of the amplitude of the response process to the amplitude of the input process. The ratio of the stress amplitude to the wave amplitude under the action of a regular cosine wave.
[0032] Assuming that the wave is a stationary random process, the alternating stress generated by the wave action is also a stationary random process. According to the theory of random processes, the power spectrum density of the above two stationary random processes has the following relationship: Where, is the stress response spectrum; is the transfer function of the structural stress response; For the wave spectrum; For the sake of righteousness, the waves are high; is the average zero-crossing period of the wave; is the wave frequency; The direction of the wave.
[0033] S22. Moments of stress response spectrum Where, is the zero-order stress response spectrum moment; is the mean square error of the short-term Rayleigh distribution.
[0034] S23. Calculation of the equivalent stress range under a single sea state: Assuming that the stress cycle process in a short-term sea state is a narrow-band Gaussian distribution, according to the theory of random processes, the stress range follows a Rayleigh distribution, and its probability density function is: Where, is the stress range.
[0035] S24. Determine the fatigue damage degree for a specific short-term sea condition: The alternating stress caused by random wave loads on floating wind turbine foundations is a random process. Combining the linear fatigue cumulative damage theory and the SN curve, the fatigue cumulative damage degree of a floating wind turbine foundation under a specific wave direction and a specific short-term sea condition is obtained as: Where, is the total number of cycles of the stress range over the entire design period being analyzed; It represents the slope of fatigue SN; A is the parameter of SN curve.
[0036] S25. Calculate the total cumulative fatigue damage: By combining the probability of each wave direction and the probability of each short-term sea condition occurring in the direction of the wave, the total cumulative fatigue damage under the long-term sea condition can be calculated as: Where, Indicates the Wave-induced fatigue damage of the first unit group; Indicates the number of short-term sea conditions; Indicates the number of wave directions; Indicates a certain sea condition probability of occurrence; Indicates a wave direction The probability of occurrence; Indicates sea conditions 、Wave direction Lower unit Wave-induced fatigue damage; Indicates the First unit group; Indicates the number of the first unit group, which is generally grouped into about 20-30 units.
[0037] S30. Calculate the wind-induced fatigue damage of the first unit group (based on equivalent fatigue load), including the following steps: Apply equivalent fatigue load to the finite element model of the floating wind turbine foundation and calculate the maximum stress of each first unit group , maximum stress The stress of the element with the largest stress under equivalent fatigue load in the first element group. Fatigue loads are usually calculated using static methods using software such as Sestra or Patran.
[0038] The present invention can calculate the corresponding stress allowable cycles through the traditional SN curve , the calculation formula is as follows: Where, represents the wind-induced equivalent fatigue load of the first unit group; Indicates the allowable number of stress cycles; represents the intercept constant of the high stress segment; represents the intercept constant of the medium stress segment; represents the intercept constant of the low stress segment; represents the slope of the high stress segment; represents the slope of the medium stress segment; represents the slope of the low stress segment; represents the stress value of the first turning point; Represents the stress value of the second turning point; the values of related parameters can be found in Table 1, where the American Bureau of Shipping (ABS) specification table is used as an example for explanation: Wind-induced fatigue damage of the first unit group of the present invention: Where, Indicates the number of reference cycles for equivalent fatigue damage. The value is consistent with the number of times the equivalent fatigue load is obtained, and is usually set to 10 7 ; is the allowable number of cycles obtained from the SN curve under equivalent fatigue wind load.
[0039] S40. Calculating fatigue damage of the first unit group, comprising the following steps: The wind-induced fatigue damage of the first unit group and the wave-induced fatigue damage of the first unit group are superimposed to obtain the preliminary screening results of the overall damage of the first unit group. There are many methods for fatigue damage superposition. The present invention adopts linear superposition: Where, represents the fatigue damage of the first unit group; represents the wave-induced fatigue damage of the first unit group; Represents the wind-induced fatigue damage of the first unit group.
[0040] S50. Merging the first unit groups whose fatigue damage meets the damage threshold in the first unit groups and merging the first unit groups whose fatigue damage does not meet the damage threshold in the first unit groups to obtain a second unit group, including the following steps: The fatigue damage in the first unit group meets the damage threshold, which is expressed by the following formula: Where, represents fatigue damage in the first unit group; Indicates the design life; Represents the safety factor of fatigue design. If the above formula is met, it is considered that the fatigue strength of the first unit group meets the preliminary requirements, that is, the preliminary results are passed. According to the preliminary results and the stress distribution, the grouping is optimized and adjusted. The main basis for the adjustment is: the first unit groups that have passed the preliminary calculation results and are geometrically connected are merged into one group. The first unit groups that have not passed the preliminary calculation results and are geometrically connected are merged into one group. According to this principle, the entire grouping is adjusted from N first unit groups to M second unit groups, where M is less than N, and generally M is about half of N. The main purpose of the analysis of the present invention is to clarify the high stress areas and low stress areas of the entire floating wind power foundation, and start grouping adjustments in order to reduce the subsequent amount of calculations. The basic principle of adjustment is to adjust the areas with high fatigue loads into one group as much as possible, and the groups that meet the results and are structurally adjacent (groups connected in geometric structures) can be merged.
[0041] S60. Calculate the wave-induced fatigue damage of the second unit group (based on the spectrum analysis method). Please refer to step S20 to calculate the total fatigue cumulative damage under long-term sea conditions: M Where, Indicates the Wave-induced fatigue damage of the second unit group; Indicates the number of short-term sea conditions; Indicates the number of wave directions; Indicates a certain sea condition probability of occurrence; Indicates a wave direction The probability of occurrence; Indicates sea conditions 、Wave direction Lower Unit Wave-induced fatigue damage; Indicates the Second unit group; Indicates the number of second unit groups.
[0042] S70. Calculate the wind-induced fatigue damage of the second unit group (based on the Markov matrix analysis method), comprising the following steps: S71. The Markov matrix, also known as the transfer matrix or rainflow counting matrix, is an efficient implementation and representation of the rainflow counting method. It is used to extract load cycle information from complex, random time-history load signals (such as the bending moments My, Mz at the tower base) and then construct load spectra for fatigue damage calculations.
[0043] According to the Markov matrix provided by the wind turbine manufacturer, the fatigue caused by the wind turbine load is applied using the Markov matrix to obtain the maximum value of the wind-induced fatigue damage of the unit in each group under the entire Markov matrix. Taking the single variable Markov matrix as an example, the wind turbine load state is divided into state (i.e. working conditions), the corresponding amplitude load of each state is recorded as , the number of times the load occurs is recorded as The number of load occurrences is provided by the fan manufacturer, where , Can represent the Working conditions.
[0044] For wind-induced fatigue damage, the greater the stress amplitude, the smaller the corresponding allowable number of cycles, and the greater the fatigue damage. Based on this, it is only necessary to find the maximum stress of all units in the second unit group to obtain the corresponding maximum wind-induced fatigue damage. First, the corresponding amplitude load Sa of the current working condition (state) is applied to the finite element model of the floating wind power foundation to obtain the stress of each second unit group under the current working condition. The maximum stress value , as shown by the following formula: Where, Indicates working conditions No. The stress value of the second unit group; Indicates the The second unit group The stress value of each element; Indicates the number of the second unit group; From the above formula, all working conditions of each second unit group can be obtained The maximum stress value According to the SN curve, the fatigue prediction cycle number corresponding to the maximum stress of each second unit group under each working condition is obtained .
[0045] Thus, the wind-induced fatigue damage of each second unit group As shown in the following formula: Where, Indicates the Wind-induced fatigue damage in the second unit group; express Working condition The number of fatigue cycles allowed for each second unit group; express The number of times the load of the working case occurs; Indicates the number of load cases.
[0046] S80. Calculating fatigue damage of the second unit group, comprising the following steps: The wind-induced fatigue damage of the second unit group and the wave-induced fatigue damage of the second unit group are superimposed to obtain the preliminary screening results of the overall damage of the second unit group. There are many methods for fatigue damage superposition. The present invention adopts linear superposition: Where, represents the fatigue damage of the second unit group; represents the wave-induced fatigue damage of the second unit group; Represents the wind-induced fatigue damage of the second unit group.
[0047] S90. Setting the second unit group whose fatigue damage does not meet the damage threshold in the second unit group as a third unit group of a third number, and calculating the wave-induced fatigue damage of the units in the third unit group, including the following steps: The fatigue damage in the second unit group meets the damage threshold, which is expressed by the following formula: Where, represents the fatigue damage of the second unit group; Indicates the design life; represents the safety factor for fatigue design. If the above formula is satisfied, the fatigue strength of the group is considered to meet the fatigue strength calculation requirements, indicating a passing result. Secondary unit groups with passing results are not further analyzed. At this point, all secondary unit groups with failing results are selected, and the number is denoted as J, which is generally approximately 10% of the number M.
[0048] The second unit group whose results fail is called the third unit group. The wave-induced fatigue damage of the units in the third unit group is calculated. Please refer to step S20. The total fatigue cumulative damage degree under the long-term sea condition can be obtained as: Where, Indicates the Units in the third unit group Wave-induced fatigue damage; Indicates the number of short-term sea conditions; Indicates the number of wave directions; Indicates a certain sea condition probability of occurrence; Indicates a wave direction The probability of occurrence; Indicates sea conditions 、Wave direction Lower unit Wave-induced fatigue damage; Indicates the a third unit group; Indicates the number of third unit groups.
[0049] S100. Calculate the wind-induced fatigue damage of the units in the third unit group, refer to step S70, and include the following steps: Calculate the stress value of the unit in the third unit group of the current working condition, as shown in the following formula: Where, express Working condition Units in the third unit group The stress value of Indicates the number of third unit groups.
[0050] From the above formula, we can get all the working conditions of each unit in each third unit group: Stress value According to the SN curve, the fatigue prediction cycle number corresponding to each unit stress in each third unit group under each working condition is obtained .
[0051] Thus, the wind-induced fatigue damage of the units in each third unit group is Where, Indicates the Units in the third unit group Wind-induced fatigue damage, express Working condition Units in the third unit group The allowable number of fatigue cycles; express The number of times the load of the working case occurs; Indicates the number of load cases.
[0052] S110. Calculate the fatigue damage of the units in the third unit group, superimpose the wind-induced fatigue damage of the units in the third unit group and the wave-induced fatigue damage of the middle unit in the third unit group, and obtain the fatigue damage results of each unit in each third unit group. There are many methods for fatigue damage superposition, and the present invention adopts linear superposition: Where, Indicates the Units in the third unit group Fatigue damage, Indicates the Units in the third unit group Wave-induced fatigue damage; Indicates the Units in the third unit group Wind-induced fatigue damage.
[0053] S120. Perform time-domain fatigue analysis on the units in the third unit group whose fatigue damage does not meet the damage threshold, and determine whether the units in the third unit group meet the fatigue life requirement based on the time-domain fatigue analysis.
[0054] The fatigue damage of the elements in the third element group does not meet the damage threshold, as shown by the following formula: Where, Indicates the Units in the third unit group Fatigue damage; Indicates the design life; represents the safety factor for fatigue design. If the above equation is satisfied, the element in the third element group is considered to meet the fatigue life requirement; otherwise, it does not. For the elements that do not meet the requirements, time-domain fatigue analysis is performed, which significantly reduces the number of elements requiring time-domain analysis.
[0055] Through the above analysis method, the number of units that need time domain analysis is reduced as follows Figure 3As shown, taking the floating wind power foundation containing 300,000 units as an example, the number of units that require time domain analysis is greatly reduced.
[0056] Among them, the time domain analysis method is a commonly used method in this field, which includes the following steps: First, the model is established and environmental loads are input. A comprehensive finite element model of the floating wind turbine foundation is constructed, including key components such as the tower, buoy, and mooring system. Material properties, boundary conditions, and connection methods are set. Based on environmental data such as wind, waves, and currents, a dynamic load time history is generated and applied to the corresponding locations in the model to simulate the stresses under actual operating conditions.
[0057] Next, dynamic response analysis and stress extraction are performed. Finite element time-domain analysis is performed to determine the stress-strain response of the structure under dynamic loading, focusing on fatigue-sensitive areas (such as welds and joints). Stress time history data for key locations is extracted to provide input for subsequent fatigue counting.
[0058] Secondly, fatigue load processing and damage calculation are performed. Using the rain flow counting method, the random stress time history is decomposed into discrete stress cycles (amplitude + mean), and the frequency of each cycle is counted to form a load spectrum. The Goodman method is used to correct the influence of non-zero mean stress, which is equivalent to zero mean stress. According to the material properties, the corresponding SN curve (or experimental data) is selected to associate stress cycles with fatigue life. Based on Miner's law, the damage of each stress cycle is calculated and accumulated to obtain the total damage value D Finally, fatigue life assessment is performed. , then the fatigue life meets the requirements. If the life is insufficient, it is necessary to optimize the structure (such as strengthening local stiffness) or adjust the loading conditions (such as controlling the operating conditions) and reiterate the analysis process.
[0059] It should be noted that equivalent fatigue loads, Markov matrices, etc. are usually provided by wind turbine manufacturers.
[0060] This invention uses a pyramid-style fatigue analysis method to conduct fatigue analysis of floating wind turbine foundations in a crisscross pattern. The crisscross pattern involves gradually breaking down the entire structure into several subgroups, then merging these subgroups into smaller groups. Finally, within each group, the entire group is divided into several units, and time-domain fatigue analysis is performed on these units.
[0061] Vertical analysis refers to the gradual transition from simple to complex analysis methods, specifically from simple equivalent fatigue analysis to fatigue analysis based on Markov matrices, and finally to time-domain fatigue analysis. This crisscrossing approach ultimately allows time-domain fatigue analysis to be performed on only a relatively small number of elements to achieve both accuracy and efficiency. This significantly reduces the number of elements required for fatigue analysis, increasing efficiency exponentially.
[0062] Based on the above embodiments, an embodiment of the present application further provides a computer program, which, when executed on a computer, enables the computer to execute the method provided in the above embodiments.
[0063] Based on the above embodiments, an embodiment of the present application further provides a computer storage medium, in which a computer program is stored. When the computer program is executed by a computer, the computer executes the method provided in the above embodiments.
[0064] The storage medium may be any available medium that can be accessed by a computer. By way of example and not limitation, computer-readable media may include RAM, ROM, EEPROM, CD-ROM or other optical disk storage, magnetic disk storage media or other magnetic storage devices, or any other medium that can be used to carry or store desired program code in the form of instructions or data structures and can be accessed by a computer.
[0065] Based on the above embodiments, an embodiment of the present application further provides a chip, which is used to read a computer program stored in a memory to implement the method provided in the above embodiments.
[0066] Based on the above embodiments, an embodiment of the present application provides a computer program product, which implements the methods provided in the above embodiments when the computer program product is run on an electronic device.
[0067] Those skilled in the art will appreciate that the embodiments of the present application can be provided as methods, systems, or computer program products. Therefore, the present application can adopt the form of a complete hardware embodiment, a complete software embodiment, or an embodiment in combination with software and hardware. Moreover, the present application can adopt the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to magnetic disk storage, CD-ROM, optical storage, etc.) that contain computer-usable program code.
[0068] The present application is described with reference to the flowcharts and / or block diagrams of the methods, devices (systems), and computer program products according to the present application. It should be understood that each process and / or block in the flowchart and / or block diagram, as well as the combination of processes and / or blocks in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing device to produce a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the processes in the flowchart and / or block diagram. Figure 1 a process or multiple processes and / or boxes Figure 1 A device that provides the functions specified in a block or multiple blocks.
[0069] These computer program instructions may also be stored in a computer readable memory that can direct a computer or other programmable data processing device to work in a specific manner, so that the instructions stored in the computer readable memory produce an article of manufacture comprising an instruction device, which implements the process Figure 1 a process or multiple processes and / or boxes Figure 1 The function specified in one or more boxes.
[0070] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operational steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing the instructions executed on the computer or other programmable device for implementing the process. Figure 1 a process or multiple processes and / or boxes Figure 1 A step that specifies a function in one or more boxes.
[0071] Obviously, those skilled in the art may make various changes and modifications to this application without departing from the spirit and scope of this application. Thus, if these modifications and variations of this application fall within the scope of the claims of this application and their equivalents, this application is intended to include these modifications and variations.
Claims
1. A method for fatigue analysis of floating wind turbine foundation, characterized in that: include Allocating the elements of the finite element model of the floating wind turbine foundation to obtain a first element group; Calculate the wave-induced fatigue damage of the first unit group, which is the wave-induced fatigue damage of the unit with the largest wave-induced fatigue damage in the first unit group; Calculating the wind-induced fatigue damage of the first unit group based on the equivalent fatigue load analysis method, which is the wind-induced fatigue damage of the unit with the largest wind-induced fatigue damage in the first unit group; Calculate the fatigue damage of the first unit group based on the wave-induced fatigue damage and wind-induced fatigue damage of the first unit group; Merging the first unit groups whose fatigue damage satisfies the damage threshold and whose geometric structures are connected in the first unit group, and merging the first unit groups whose fatigue damage does not satisfy the damage threshold and whose geometric structures are connected in the first unit group, to obtain a second unit group; Calculate the wave-induced fatigue damage of the second unit group, which is the wave-induced fatigue damage of the unit with the largest wave-induced fatigue damage in the second unit group; The wind-induced fatigue damage of the second unit group is calculated based on the Markov matrix analysis method, which is the wind-induced fatigue damage of the unit with the largest wind-induced fatigue damage in the second unit group; Calculate the fatigue damage of the second unit group based on the wave-induced fatigue damage and wind-induced fatigue damage of the second unit group; The second unit group whose fatigue damage does not meet the damage threshold is set as the third unit group, and the wave-induced fatigue damage of the units in the third unit group is calculated; Calculate the wind-induced fatigue damage of the units in the third unit group based on the Markov matrix analysis method; Calculate the fatigue damage of the units in the third unit group based on the wave-induced fatigue damage and wind-induced fatigue damage of the units in the third unit group; The units in the third unit group whose fatigue damage does not meet the damage threshold are subjected to time domain fatigue analysis, and whether the units in the third unit group meet the fatigue life requirement is determined based on the time domain fatigue analysis.
2. The floating wind turbine foundation fatigue analysis method according to claim 1, characterized in that: in, Calculating the wave-induced fatigue damage of the first unit group includes the following steps: Calculate the wave-induced fatigue damage of the units in the first unit group under a certain sea condition and wave direction; Calculate the cumulative wave-induced fatigue damage of the units in the first unit group under various set sea conditions and wave directions; Among them, the cumulative wave-induced fatigue damage of the unit with the largest cumulative wave-induced fatigue damage is the wave-induced fatigue damage of the first unit group; The wave-induced fatigue damage of the first unit group is expressed as follows: Where, Indicates the Wave-induced fatigue damage of the first unit group; Indicates the number of short-term sea conditions; Indicates the number of wave directions; Indicates a certain sea condition probability of occurrence; Indicates a wave direction The probability of occurrence; Indicates sea conditions 、Wave direction Lower unit Wave-induced fatigue damage; Indicates the First unit group; Indicates the number of first unit groups.
3. The floating wind turbine foundation fatigue analysis method according to claim 2, characterized in that: in, Calculation of wind-induced fatigue damage of the first unit group includes the following steps: Finite element model of applying wind-induced equivalent fatigue loads to floating wind turbine foundations; Calculate the stress of the elements in the first element group, wherein the stress of the element with the largest stress is the stress of the first element group; According to the SN curve and the stress of the first unit group, the allowable number of stress cycles of the first unit group is calculated as shown in the following formula: Where, represents the wind-induced equivalent fatigue load of the first unit group; Indicates the allowable number of stress cycles; represents the intercept constant of the high stress segment; represents the intercept constant of the medium stress segment; represents the intercept constant of the low stress segment; represents the slope of the high stress segment; represents the slope of the medium stress segment; represents the slope of the low stress segment; represents the stress value of the first turning point; represents the stress value of the second turning point; According to the allowable stress cycles of the first unit group and the reference cycles of wind-induced equivalent fatigue damage, the wind-induced fatigue damage of the first unit group is calculated as shown in the following formula: Where, represents the wind-induced fatigue damage of the first unit group; Indicates the benchmark number of cycles for wind-induced equivalent fatigue damage; Indicates the allowable number of stress cycles.
4. The floating wind turbine foundation fatigue analysis method according to claim 3, characterized in that: in, According to the wave-induced fatigue damage and wind-induced fatigue damage of the first unit group, the fatigue damage of the first unit group is calculated as shown in the following formula: Where, represents the fatigue damage of the first unit group; represents the wave-induced fatigue damage of the first unit group; represents the wind-induced fatigue damage of the first unit group; Among them, the fatigue damage in the first unit group meets the damage threshold, which is expressed by the following formula: Where, represents fatigue damage in the first unit group; Indicates the design life; Represents the safety factor for fatigue design.
5. The floating wind turbine foundation fatigue analysis method according to claim 1, characterized in that: in, Calculating the wave-induced fatigue damage of the second unit group includes the following steps: Calculate the wave-induced fatigue damage of the units in the second unit group under a certain sea condition and wave direction; Calculate the cumulative wave-induced fatigue damage of the units in the second unit group under various set sea conditions and wave directions; Among them, the cumulative wave-induced fatigue damage of the unit with the largest cumulative wave-induced fatigue damage is the wave-induced fatigue damage of the second unit group; The wave-induced fatigue damage of the second unit group is expressed as follows: M Where, Indicates the Wave-induced fatigue damage of the second unit group; Indicates the number of short-term sea conditions; Indicates the number of wave directions; Indicates a certain sea condition probability of occurrence; Indicates a wave direction The probability of occurrence; Indicates sea conditions 、Wave direction Lower unit Wave-induced fatigue damage; Indicates the Second unit group; Indicates the number of second unit groups.
6. The floating wind turbine foundation fatigue analysis method according to claim 5, characterized in that: in, Calculation of wind-induced fatigue damage of the second unit group includes the following steps: S10. Applying the corresponding amplitude load of the current working condition of the wind turbine load state to the finite element model of the floating wind turbine foundation; S20. Calculate the stress values of the units in the second unit group under the current working condition, wherein the stress value of the unit with the largest stress value under the current working condition is the stress value of the second unit group under the current working condition, as shown in the following formula: Where, Indicates working conditions No. The stress value of the second unit group; Indicates the The second unit group The stress value of each element; Indicates the number of the second unit group; S30. Calculate the allowable number of fatigue cycles of the second unit group under the current working condition according to the SN curve and the stress value of the second unit group under the current working condition, and record the number of loads under the current working condition; S40. Repeat steps S10 to S30 until all working conditions are traversed to obtain the number of fatigue cycles allowed for the second unit group under all working conditions and the number of load occurrences under all working conditions; According to the number of fatigue allowable cycles of the second unit group under all working conditions and the number of load occurrences under all working conditions, the wind-induced fatigue damage of the second unit group is calculated as shown in the following formula: Where, Indicates the Wind-induced fatigue damage in the second unit group; express Working condition The number of fatigue cycles allowed for each second unit group; express The number of times the load of the working case occurs; Indicates the number of load cases.
7. The floating wind turbine foundation fatigue analysis method according to claim 6, characterized in that: in, According to the wave-induced fatigue damage and wind-induced fatigue damage of the second unit group, the fatigue damage of the second unit group is calculated as shown in the following formula: Where, represents the fatigue damage of the second unit group; represents the wave-induced fatigue damage of the second unit group; represents the wind-induced fatigue damage of the second unit group; Among them, the fatigue damage in the second unit group meets the damage threshold, which is shown by the following formula: Where, represents the fatigue damage of the second unit group; Indicates the design life; Represents the safety factor for fatigue design.
8. The floating wind turbine foundation fatigue analysis method according to claim 1, characterized in that: in, Calculating the wave-induced fatigue damage of the elements in the third element group includes the following steps: Calculate the wave-induced fatigue damage of the units in the third unit group under a certain sea condition and wave direction; Calculate the cumulative wave-induced fatigue damage of the units in the third unit group under various set sea conditions and wave directions, where the cumulative wave-induced fatigue damage is the wave-induced fatigue damage of the units in the third unit group; The wave-induced fatigue damage of the elements in the third element group is expressed by the following formula: Where, Indicates the Units in the third unit group Wave-induced fatigue damage; Indicates the number of short-term sea conditions; Indicates the number of wave directions; Indicates a certain sea condition probability of occurrence; Indicates a wave direction The probability of occurrence; Indicates sea conditions 、Wave direction Lower unit Wave-induced fatigue damage; Indicates the a third unit group; Indicates the number of third unit groups.
9. The floating wind turbine foundation fatigue analysis method according to claim 6, characterized in that: in, Calculation of wind-induced fatigue damage of elements in the third element group includes the following steps: S10. Applying the corresponding amplitude load of the current working condition of the wind turbine load state to the finite element model of the floating wind turbine foundation; S20. Calculate the stress value of the unit in the third unit group of the current working condition, as shown in the following formula: Where, express Working condition Units in the third unit group The stress value of Indicates the number of third unit groups; S30. Calculate the allowable number of fatigue cycles of the units in the third unit group under the current working condition according to the SN curve and the stress value of the units in the third unit group under the current working condition, and record the number of loads occurring under the current working condition; S40. Repeat steps S10 to S30 until all working conditions are traversed to obtain the number of fatigue cycles allowed for the units in the third unit group for all working conditions and the number of load occurrences for all working conditions; According to the number of fatigue cycles allowed for the units in the third unit group under all working conditions and the number of load occurrences under all working conditions, the wind-induced fatigue damage of the units in the third unit group is calculated as shown in the following formula: Where, Indicates the Units in the third unit group Wind-induced fatigue damage, express Working condition Units in the third unit group The allowable number of fatigue cycles; express The number of times the load of the working case occurs; Indicates the number of load cases.
10. The floating wind turbine foundation fatigue analysis method according to claim 9, characterized in that: in, The fatigue damage of the elements in the third element group is calculated as follows: Where, Indicates the Units in the third unit group Fatigue damage, Indicates the Units in the third unit group Wave-induced fatigue damage; Indicates the Units in the third unit group wind-induced fatigue damage; Among them, the fatigue damage of the unit in the third unit group does not meet the damage threshold, which is shown by the following formula: Where, Indicates the Units in the third unit group Fatigue damage; Indicates the design life; Represents the safety factor for fatigue design.
11. An electronic device, characterized in that: The electronic device includes: one or more processors, a memory, and one or more programs; wherein the one or more programs are stored in the memory, and the one or more programs include instructions, which, when executed by the electronic device, enable the electronic device to execute any one of the methods described in claims 1-10.
12. A computer-readable storage medium, characterized in that The computer-readable storage medium includes a computer program, and when the computer program is run on an electronic device, the electronic device is caused to execute the method according to any one of claims 1 to 10.
Citation Information
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