Method and device for calculating low-cycle fatigue damage consumption of wheel disc and medium
By obtaining the roulette speed cyclic stress and safe life, and combining Goodman conversion to calculate the roulette's low cyclic fatigue damage consumption, the problem of high calculation costs in the prior art is solved, and an accurate and simplified roulette life prediction is achieved.
Patent Information
- Application Number
- CN202510660743.X
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-05-22
- Publication Date
- 2025-07-18
AI Technical Summary
The existing calculation method for low cycle fatigue damage consumption of aero engine roulettes depends on material fatigue performance curve testing, resulting in high calculation costs and conservative results, and the inability to accurately predict life consumption.
By obtaining the main speed cycle, secondary speed cycle and standard speed of the roulette, the main and secondary cycle stresses and safe life are calculated, the speed square relationship is used to simplify stress calculation, and the life consumption count coefficient is obtained in combination with Goodman conversion to simplify the calculation process.
It realizes accurate calculation of the roulette's low cycle fatigue damage consumption, reduces the calculation cost, simplifies the calculation process, and is suitable for real-time tracking of the roulette life consumption in airborne equipment.
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Figure CN120337584A_ABST
Abstract
Description
Technical Field
[0001] The present invention belongs to the technical field of calculation methods for the fatigue damage consumption of a disk, and particularly relates to a calculation method for the low-cycle fatigue damage consumption of a disk. Background Art
[0002] With the development of aero-engine technology, due to the increasing complexity of aero-engines, condition-based maintenance can effectively control maintenance costs, extend the effective service life of aero-engines, and gradually replace other traditional maintenance methods. Advanced foreign engines have adopted condition-based maintenance to maintain aero-engines. Life management, as an important part of condition-based maintenance, is a means of monitoring the service life consumption of a disk and predicting the remaining life. It can make maintenance support decisions in a timely manner based on the service life consumption or remaining life of the disk. The low-cycle fatigue damage consumption algorithm of the disk is one of the main algorithms for realizing life management. Through the usage of the disk, low-cycle fatigue damage assessment and remaining life prediction are completed, maximizing the utilization of the service life of the disk, improving the safety of the engine and enhancing the economy. At the same time, maintenance activities can be greatly simplified, and the allocation of maintenance support resources can be optimized.
[0003] Currently, the calculation method for the low-cycle fatigue damage consumption of aero-engine disks generally includes four steps: "selecting the standard stress cycle" - "extracting the actual stress cycle" - "calculating the life of different stress cycles" - "calculating the fatigue damage consumption".
[0004] However, the existing technology needs to perform stress spectrum analysis based on the load spectrum. Usually, in order to simplify the calculation, some load cycles are simplified, only the main cycle and some secondary cycles are retained, and a safety factor is considered in the cycle consumption counting algorithm to achieve a conservative estimate of the cycle life consumption. The cycle life consumption results often given are much higher than the actual cycle life consumption value. For different cyclic stress spectra, in life calculation, it overly relies on the fatigue performance curve equation of the material, the stress-life curve (S-N) or the strain-life curve (ε-N). The material fatigue performance curve method usually uses test bars for testing. Obtaining the fatigue performance curve at the test bar level requires a large number of test bar fatigue test results, often taking a lot of time and money, greatly increasing the development cost.
[0005] Therefore, a calculation method for the low-cycle fatigue damage consumption of a disk that is accurate in calculation and reduces the calculation cost is needed. Summary of the Invention
[0006] In view of the above problems, the present invention proposes a calculation method for the low-cycle fatigue damage consumption of a disk, which is characterized by including the following steps:
[0007] Obtain the maximum speed of the main speed cycle of the disk, the maximum speed and the minimum speed of the secondary speed cycle of the disk, and the standard cycle speed of the disk;
[0008] Obtain the standard cyclic stress according to the standard cyclic speed of the roulette wheel, obtain the primary cyclic stress according to the maximum speed of the primary speed cycle of the roulette wheel and the standard cyclic speed of the roulette wheel, and obtain the secondary cyclic stress according to the maximum speed, minimum speed of the secondary speed cycle of the roulette wheel and the standard cyclic speed of the roulette wheel;
[0009] Calculate the safe life under the standard cycle according to the standard cyclic stress, calculate the safe life of the primary cycle according to the primary cyclic stress; calculate the safe life of the secondary cycle according to the secondary cyclic stress;
[0010] Obtain the primary cycle life consumption counting coefficient according to the safe life of the primary cycle and the safe life under the standard cycle, and obtain the secondary cycle life consumption counting coefficient according to the safe life of the secondary cycle and the safe life under the standard cycle;
[0011] Repeat the steps of obtaining the maximum speed of the primary speed cycle of the roulette wheel, the maximum speed and minimum speed of the secondary speed cycle of the roulette wheel, and the standard cyclic speed of the roulette wheel until the primary cycle life consumption counting coefficient and the secondary cycle life consumption counting coefficient at all speeds are calculated;
[0012] Calculate the consumption of the total low cycle fatigue cycle number according to the primary cycle life consumption counting coefficient, the number of primary cycles with the same primary cycle life consumption counting coefficient, the secondary cycle life consumption counting coefficient, and the number of secondary cycles with the same secondary cycle life consumption counting coefficient.
[0013] Furthermore, obtaining the standard cyclic stress according to the standard cyclic speed of the roulette wheel, obtaining the primary cyclic stress according to the maximum speed of the primary speed cycle of the roulette wheel and the standard cyclic speed of the roulette wheel, and obtaining the secondary cyclic stress according to the maximum speed, minimum speed of the secondary speed cycle of the roulette wheel and the standard cyclic speed of the roulette wheel includes the following steps:
[0014] Obtain the relationship that the stress is proportional to the square of the speed;
[0015] Obtain the standard stress cycle 0-S0-0, where S0 is the stress in the takeoff state; where S0 is obtained through the standard cyclic speed of the roulette wheel and the relationship that the square of the speed is proportional to the stress;
[0016] Obtain the primary cyclic stress according to the maximum speed of the primary speed cycle of the roulette wheel, the relationship that the stress is proportional to the square of the speed, and the takeoff state stress S0; obtain the secondary cyclic stress according to the maximum speed, minimum speed of the secondary speed cycle of the roulette wheel, the relationship that the square of the speed is proportional to the stress, and the takeoff state stress S0.
[0017] Furthermore, the relational expression of the square of the speed and the stress ratio is as follows:
[0018]
[0019] Among them, n i is the rotational speed at the i-th working condition; n0 is the standard cyclic speed; S0 is the standard maximum stress, and S i is the stress corresponding to the rotational speed at the i-th working condition.
[0020] Furthermore, calculating the safety life of the primary cycle based on the primary cyclic stress; calculating the safety life of the secondary cycle based on the secondary cyclic stress includes the following steps:
[0021] Obtain the ultimate strength σ b ;
[0022] Construct the average S-N curve for the long-life section of the metal material, and obtain the safety S-N curve based on the average S-N curve;
[0023] Obtain the relationship between the life N and the cyclic stress σ x based on the safety S-N curve;
[0024] Obtain the standard cyclic life based on the state stress (standard cyclic maximum stress) S0 and the relationship between the life N and the cyclic stress σ x ;
[0025] Obtain the safety life of the primary cycle based on the relationship between the life N and the cyclic stress σ x and the primary cyclic stress; obtain the safety life of the secondary cycle based on the relationship between the life N and the cyclic stress σ x , the secondary cyclic maximum stress, and the secondary cyclic minimum stress.
[0026] Furthermore, the relationship between the life N and the cyclic stress σ x is as follows:
[0027]
[0028] Furthermore, obtaining the safety life of the primary cycle based on the relationship between the life N and the cyclic stress σ x and the primary cyclic stress; obtaining the safety life of the secondary cycle based on the relationship between the life N and the cyclic stress σ x , the secondary cyclic maximum stress, and the secondary cyclic minimum stress is calculated as follows:
[0029] For the stress cycle of the primary cycle 0-S i -0, the S eqi after Goodman transformation and the corresponding life N i are:
[0030]
[0031] Among them, S i is the corresponding maximum stress, and N i is the safety life at the S i stress;
[0032] The secondary cycle S minci -S maxci -S minci For the stress cycle, after Goodman conversion, S eqci and the corresponding life N ci are:
[0033]
[0034] Wherein, S max ci is the maximum stress of the secondary cycle, S min ci is the minimum stress of the secondary cycle, and N ci is the safety life under the secondary cycle.
[0035] Furthermore, the main cycle life consumption counting coefficient is obtained according to the safety life of the main cycle and the safety life under the standard cycle, and the secondary cycle life consumption counting coefficient is obtained according to the safety life of the secondary cycle and the safety life under the standard cycle, including the following calculation methods:
[0036] The main cycle life consumption counting coefficient C i The calculation method is as follows:
[0037]
[0038] Wherein N i is the main cycle life of the i-th cycle, and N0 is the life under the standard cycle;
[0039] The secondary cycle life consumption counting coefficient C ci The calculation method is as follows:
[0040]
[0041] Wherein N ci is the secondary cycle life of the i-th cycle, and N0 is the life under the standard cycle.
[0042] Furthermore, according to the main cycle life consumption counting coefficient, the number of main cycles with the same main cycle life consumption counting coefficient, the secondary cycle life consumption counting coefficient, and the number of secondary cycles with the same secondary cycle life consumption counting coefficient, the consumption of the total low cycle fatigue cycle number LC is calculated as follows;
[0043] LC = ∑m i C i + ∑m ci C ci ;
[0044] Wherein, m i is the counting coefficient C iThe number of primary cycles, C i is the primary cycle life consumption counting coefficient; m ci is the counting coefficient for C ci The number of primary cycles, C ci is the secondary cycle life consumption counting coefficient.
[0045] A low cycle fatigue damage consumption calculation device for a roulette wheel, including,
[0046] An acquisition device that acquires the maximum rotational speed of the primary rotational speed cycle of the roulette wheel, the maximum and minimum rotational speeds of the secondary rotational speed cycle of the roulette wheel, and the standard rotational speed of the roulette wheel;
[0047] A calculation device that obtains the standard cycle stress based on the standard rotational speed of the roulette wheel, obtains the primary cycle stress based on the maximum rotational speed of the primary rotational speed cycle of the roulette wheel and the standard rotational speed of the roulette wheel, and obtains the secondary cycle stress based on the maximum and minimum rotational speeds of the secondary rotational speed cycle of the roulette wheel and the standard rotational speed of the roulette wheel; calculates the safe life under the standard cycle based on the standard cycle stress, calculates the safe life of the primary cycle based on the primary cycle stress; calculates the safe life of the secondary cycle based on the secondary cycle stress;; obtains the primary cycle life consumption counting coefficient based on the safe life of the primary cycle and the safe life under the standard cycle, and obtains the secondary cycle life consumption counting coefficient based on the safe life of the secondary cycle and the safe life under the standard cycle;
[0048] An acquisition device that repeats the steps of acquiring the maximum rotational speed of the primary rotational speed cycle of the roulette wheel, the maximum and minimum rotational speeds of the secondary rotational speed cycle of the roulette wheel, and the standard rotational speed of the roulette wheel until the primary cycle life consumption counting coefficient and the secondary cycle life consumption counting coefficient at all rotational speeds are calculated;
[0049] A calculation device that calculates the total consumption of low cycle fatigue cycles based on the primary cycle life consumption counting coefficient, the number of primary cycles with the same primary cycle life consumption counting coefficient, the secondary cycle life consumption counting coefficient, and the number of secondary cycles with the same secondary cycle life consumption counting coefficient.
[0050] A computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, it implements the steps of the above method.
[0051] Beneficial effects:
[0052] 1. In the present invention, by acquiring the maximum rotational speed of the primary rotational speed cycle of the roulette wheel, the maximum and minimum rotational speeds of the secondary rotational speed cycle of the roulette wheel, and the standard rotational speed of the roulette wheel, the primary cycle stress and the secondary cycle stress are calculated, and then the safe life of the primary cycle and the safe life of the secondary cycle are calculated. The input for calculating the primary and secondary cycle life consumption counting coefficients is only the rotational speed, which simplifies the calculation process.
[0053] 2. The method for fatigue consumption of the engine disk of the present invention, except for the basic information of the material tensile ultimate strength and the standard cycle definition, only requires the calculation of the standard cycle stress, and there is no need to perform other state stress analyses afterwards, which simplifies the calculation process.
[0054] 3. The method for fatigue damage consumption of the engine disk of the present invention, compared with the previous methods, does not rely on the material fatigue performance curve. By obtaining the rotational speed and stress corresponding to the standard cycle, as well as the material tensile ultimate strength, the life consumption counting coefficients of each primary and secondary cycle can be calculated, eliminating the material fatigue performance curve testing work and saving time and money costs.
[0055] Other features and advantages of the present invention will be described in the subsequent specification, and part of them will become obvious from the specification or be understood by implementing the present invention. The objectives and other advantages of the present invention can be achieved and obtained through the structures pointed out in the specification and the drawings. Brief Description of the Drawings
[0056] In order to more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the drawings required for the description of the embodiments or the prior art. Obviously, the drawings in the following description are some embodiments of the present invention. For those of ordinary skill in the art, without creative efforts, other drawings can be obtained based on these drawings.
[0057] Figure 1 It shows a schematic flow chart of the calculation method for low cycle fatigue damage consumption of the disk in Embodiment 1 of the present invention.
[0058] Figure 2 It shows a schematic diagram of the primary cycle / secondary cycle in Embodiment 1 of the present invention.
[0059] Figure 3 It shows a schematic diagram of the average S-N curve of the long life section in the structural metal material in Embodiment 1 of the present invention.
[0060] Figure 4 It shows a schematic diagram of the average S-N curve and the safety S-N curve of the long life section in the structural metal material in Embodiment 1 of the present invention.
[0061] Figure 5 It shows a schematic diagram of the standard cycle Goodman transformation.
[0062] Figure 6 It shows a schematic flow chart of the calculation device for low cycle fatigue damage consumption of the disk in Embodiment 2 of the present invention.
[0063] Figure 7The schematic flow diagram of the low cycle fatigue damage consumption calculation device in Embodiment 3 of the present invention is shown. Detailed implementation manners
[0064] To make the objectives, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Apparently, the described embodiments are some but not all of the embodiments of the present invention. All other embodiments obtained by those of ordinary skill in the art based on the embodiments of the present invention without creative efforts shall fall within the protection scope of the present invention.
[0065] Currently, the calculation method of low cycle fatigue damage consumption of an aeroengine disk generally includes four steps: "selecting a standard stress cycle" - "extracting an actual stress cycle" - "calculating the life of different stress cycles" - "calculating fatigue damage consumption".
[0066] Among them: for selecting a standard stress cycle, considering the working conditions of the engine comprehensively, a representative cycle that often appears in the engine and causes relatively large damage is selected. Generally, the 0 - maximum state - 0 cycle, that is, the stress cycle of 0 - takeoff - 0, is selected.
[0067] For extracting an actual stress cycle, the rain flow counting method is a commonly used method for extracting stress cycles. This method can represent the load spectrum in the form of discrete load cycles, and the counting results are described by stress peaks and valleys. Refer to Figure 2 , Figure 2 , which is the schematic diagram of the main cycle / secondary cycle, and the rotational speed is converted into stress for extraction.
[0068] For calculating the life of different stress cycles, the stress cycles of the standard cycle and each working cycle are converted to the same stress ratio as the material S - N curve through the Goodman curve, and the life is calculated through the S - N curve with the converted equivalent stress.
[0069] For calculating fatigue damage consumption, the life calculation result of the standard stress cycle is denoted as N0, and the life calculation results of the actual different cycle stresses are denoted as N i (i is an integer greater than or equal to 1). The fatigue damage consumption counting coefficient of each stress cycle is:
[0070] Define the number of occurrences of each stress cycle as m i , when the cumulative service life LC = ∑m i C i reaches the given life, it indicates that the disk reaches the service life.
[0071] The present invention adopts a new calculation method, which simplifies the calculation process. Refer to Figure 1, a method for calculating the consumption of low cycle fatigue damage of a disk, comprising the following steps:
[0072] S1. Obtain the maximum speed of the main speed cycle of the disk, the maximum speed and the minimum speed of the secondary speed cycle of the disk, and the standard cycle speed of the disk; specifically, according to the flight spectrum (the flight spectrum is the statistical characteristic data recording the loads (such as aerodynamic loads, inertial loads, temperature loads, etc.) borne by the aircraft during flight, usually represented in the form of a load-time history or a power spectral density (PSD)), and in combination with the rain flow method (a statistical method for decomposing a continuous load time history into several discrete load cycles, by identifying the peak and valley changes of the load, extracting the equivalent cycle amplitude and mean, and commonly used for fatigue life assessment), obtain the main and secondary speed cycles of the disk, the main cycle 0 - n i -0 and the secondary cycle n mini -n maxi -n mini , and the number of usage times m at the corresponding speeds i and m ci , and the speed n0 of the standard cycle.
[0073] S2. Obtain the standard cycle stress according to the standard cycle speed of the disk, obtain the main cycle stress according to the maximum speed of the main speed cycle of the disk and the standard cycle speed of the disk, and obtain the secondary cycle stress according to the maximum speed, the minimum speed of the secondary speed cycle of the disk, and the standard cycle speed of the disk;
[0074] S3. Calculate the safe life under the standard cycle according to the standard cycle stress, calculate the safe life of the main cycle according to the main cycle stress; calculate the safe life of the secondary cycle according to the secondary cycle stress;
[0075] S4. Obtain the main cycle life consumption counting coefficient according to the safe life of the main cycle and the safe life under the standard cycle, and obtain the secondary cycle life consumption counting coefficient according to the safe life of the secondary cycle and the safe life under the standard cycle;
[0076] S5. Repeat steps S1 - S4 until the main cycle life consumption counting coefficients and the secondary cycle life consumption counting coefficients at all speeds are calculated;
[0077] S6. Calculate the consumption of the total number of low cycle fatigue cycles according to the main cycle life consumption counting coefficient, the number of main cycles with the same main cycle life consumption counting coefficient, the secondary cycle life consumption counting coefficient, and the number of secondary cycles with the same secondary cycle life consumption counting coefficient.
[0078] Furthermore, in the method for calculating the fatigue damage consumption of the engine disk of the present invention, due to the simple calculation process, in the calculation process, there is no need to perform a large number of simplifications on the main and secondary cycles, and there are more comprehensive advantages in retaining the main and secondary cycle load spectra in the working state.
[0079] Furthermore, for the method of consuming the fatigue damage of the engine disk of the present invention, due to the simple calculation process, the life consumption counting coefficients of each primary and secondary cycle can be calculated through the input of the rotational speed, without the need for powerful hardware devices such as computer memory and computer computing power, and the algorithm calculation can be realized on the airborne device, realizing the real-time tracking of the disk life consumption.
[0080] Furthermore, step S2 includes the following steps
[0081] S21, obtaining the relationship that the stress is proportional to the square of the rotational speed;
[0082] S22, obtaining the standard stress cycle 0-S0-0, where S0 is the stress in the takeoff state; where S0 is obtained through the standard cycle rotational speed of the disk and the relationship that the stress is proportional to the square of the rotational speed;
[0083] S23, obtaining the primary cycle stress according to the maximum rotational speed of the primary rotational speed cycle of the disk, the relationship that the stress is proportional to the square of the rotational speed, and the takeoff state stress S0; obtaining the secondary cycle stress according to the maximum rotational speed, minimum rotational speed of the secondary rotational speed cycle of the disk, the relationship that the square of the rotational speed is proportional to the stress, and the takeoff state stress S0.
[0084] Specifically, in step S21, for the engine disk, the centrifugal load is the main load of the engine, and it is approximately considered that the stress level S of the disk is proportional to the square of the rotational speed n, that is, there is the following relational expression:
[0085]
[0086] where n i is the rotational speed of the i-th operation; n0 is the standard cycle rotational speed; S0 is the standard maximum stress, and S i is the stress corresponding to the rotational speed of the i-th operation.
[0087] Combining steps S22 and S23, the stress cycle can be converted into a rotational speed cycle, and various primary cycles 0-n i -0 and secondary cycles n mini -n maxi -n mini of the rotational speed can be obtained according to the engine rotational speed parameters and in combination with the rain flow method.
[0088] For any primary cycle or secondary cycle, according to the rotational speed value, the ratio of the square of the rotational speed can be easily obtained, and the ratio of the square of the working rotational speed n to the square of the standard cycle rotational speed n0 is defined as f, that is
[0089]
[0090] From the two relational expressions (S21-1) and (S21-2), the proportional relational expression of the square of the rotational speed is obtained, and the main and secondary cyclic stress relational expressions are calculated as follows:
[0091]
[0092] Among them, S i is the main cyclic stress when the rotational speed in the main cycle is n i , S maxci is the maximum secondary cyclic stress when the rotational speed in the secondary cycle is n maxi , S minci is the minimum secondary cyclic stress when the rotational speed in the secondary cycle is n mini .
[0093] Furthermore, step S3 includes the following steps
[0094] S31, obtain the ultimate strength σ of the disk material b ;
[0095] S32, construct the average S-N curve in the long-life section of the metal material, and obtain the safe S-N curve according to the average S-N curve;
[0096] Specifically, according to the S-N life curve characteristics of the metal material, in the medium- and long-life stage, there is a logarithmic linear relationship between stress and life, and the material has the fatigue limit characteristic. Construct the average S-N curve in the medium- and long-life section of the metal material, as shown in Figure 3 . The equation of the average S-N curve in the medium- and long-life section is as follows:
[0097]
[0098] For the average S-N curve, the reduction method is as follows: when N ≤ 10 3 , reduce it by a life dispersion coefficient of 5; when N ≥ 10 6 , reduce it by a strength reduction coefficient of 1.45. When 10 3 < N < 10 6 , still use the logarithmic linear relationship between stress and life for fitting. That is, the stress level at 10 3 secondary cycle lives, and the reduced life is 1000 / 5 = 200, which is lg(200) = 2.3 in logarithmic coordinates. The stress level at 10 6 secondary cycle lives after strength reduction is σ6 / 1.45. Therefore, the reduced safe S-N curve is shown in Figure 4 . At this time, the equation of the safe S-N curve in the medium- and long-life section is as follows:
[0099]
[0100] The design life cycle of a general aero-engine disk is not less than 10 3 cycles. When the cyclic stress level is lower than σ6 / 1.45, it has an infinite life under cyclic stress, that is, no low-cycle fatigue damage occurs; for general metal materials, σ3 and σ6 can be approximately estimated, that is, σ3 = 0.9σ b , σ6 = 0.5σ b .
[0101] S33. Obtain the relationship between life N and cyclic stress σ x according to the safety S-N curve; specifically, the relationship between the life N and the cyclic stress σ x is as follows: By deriving the S-N curve of 2.3 < lgN < 6, the relationship between the life N and the cyclic stress σ x can be obtained as follows:
[0102]
[0103] S34. Obtain the standard cyclic life according to the state stress (standard cyclic maximum stress) S0 and the relationship between life N and cyclic stress σ x ;
[0104] The specific calculation method is as follows. Since σ x in the S-N curve in this article represents the fatigue limit under a given life, that is, the maximum stress under a stress ratio R = -1, it is necessary to convert the stress cycle in actual use to the maximum stress under R = -1. In this article, the Goodman transformation is used (the Goodman transformation is a classic method for mean stress correction in fatigue analysis, and its core purpose is to convert the actual load (asymmetric cycle) into a symmetric cycle load (stress ratio R = -1), so as to use the uniaxial S-N curve for fatigue life prediction).
[0105] For the standard cyclic stress, that is, the stress cycle of 0 - takeoff - 0, assume that the ratio of the material ultimate strength σ b to the standard cyclic maximum stress S0 is k, that is
[0106] Obtain the ratio k of the material ultimate strength σ b to the takeoff state stress (standard cyclic maximum stress) S0;
[0107]
[0108] The standard cyclic equivalent stress S eq0 after the Goodman transformation is:
[0109]
[0110] Refer to Figure 5 , and obtain according to formulas S34-1 and S34-2
[0111]
[0112] The calculation result of the life N0 under the standard cyclic stress is obtained according to formulas S34-3 and S33-1:
[0113]
[0114] S35, the safety life of the primary cycle is obtained according to the relationship between the life N and the cyclic stress σ x and the primary cyclic stress; the safety life of the secondary cycle is obtained according to the relationship between the life N and the cyclic stress σ x , the maximum stress and the minimum stress of the secondary cycle.
[0115] Specifically, for the stress cycle of the primary cycle 0-S i -0, after conversion by Goodman (reference Figure 5 ), the S eqi and the corresponding life N i are:
[0116]
[0117] Among them, S i is the corresponding maximum stress, and N i is the safety life under the stress of S i ;
[0118] For the stress cycle of the secondary cycle S minci -S maxci -S minci , after conversion by Goodman (reference Figure 5 ), the S eqci and the corresponding life N ci are:
[0119]
[0120] Among them. S max ci is the maximum stress of the secondary cycle, S min ci is the minimum stress of the secondary cycle, and N ci is the safety life under the secondary cycle.
[0121] Specifically, step S4 includes the following steps
[0122] The calculation method of the primary cycle life consumption counting coefficient C i is as follows:
[0123]
[0124] Among them, N i$N_{i}$ is the main cycle life of the $i$-th cycle, and $N_{0}$ is the life under the standard cycle;
[0125] The consumption count coefficient $C$ of the sub-cycle life for each cycle ci The calculation method is as follows:
[0126]
[0127] where $N$ ci is the sub-cycle life of the $i$-th cycle, and $N_{0}$ is the life under the standard cycle.
[0128] Specifically, in step S5, steps S1 - S4 are repeated until the consumption count coefficients of the main cycle life and the sub-cycle life at all rotational speeds are calculated.
[0129] Specifically, step S6 includes the following steps:
[0130] $LC=\sum_{m}$ i $C$ i $+\sum_{m}$ ci $C$ ci (S6 - 1);
[0131] where $m$ i is the number of main cycles with the count coefficient $C$ i and $C$ i is the consumption count coefficient of the main cycle life; $m$ ci is the number of main cycles with the count coefficient $C$ ci and $C$ ci is the consumption count coefficient of the sub-cycle life.
[0132] Embodiment 2
[0133] Refer to Figure 6 , a calculation device for low-cycle fatigue damage consumption of a wheel disc, including:
[0134] An acquisition device that acquires the maximum rotational speed of the main rotational speed cycle of the wheel disc, the maximum and minimum rotational speeds of the sub-rotational speed cycle of the wheel disc, and the standard rotational speed of the wheel disc;
[0135] A calculation device that acquires the standard cycle stress according to the standard rotational speed of the wheel disc, acquires the main cycle stress according to the maximum rotational speed of the main rotational speed cycle of the wheel disc and the standard rotational speed of the wheel disc, and acquires the sub-cycle stress according to the maximum and minimum rotational speeds of the sub-rotational speed cycle of the wheel disc and the standard rotational speed of the wheel disc; calculates the safe life under the standard cycle according to the standard cycle stress, calculates the safe life of the main cycle according to the main cycle stress; calculates the safe life of the sub-cycle according to the sub-cycle stress;; acquires the consumption count coefficient of the main cycle life according to the safe life of the main cycle and the safe life under the standard cycle, and acquires the consumption count coefficient of the sub-cycle life according to the safe life of the sub-cycle and the safe life under the standard cycle;
[0136] An acquisition device repeats the steps of obtaining the maximum speed of the main speed cycle of the roulette wheel, the maximum speed and the minimum speed of the secondary speed cycle of the roulette wheel, and the standard cycle speed of the roulette wheel until the main cycle life consumption counting coefficient and the secondary cycle life consumption counting coefficient at all speeds are calculated;
[0137] A calculation device calculates the consumption of the total number of low cycle fatigue cycles based on the main cycle life consumption counting coefficient, the number of main cycles with the same main cycle life consumption counting coefficient, the secondary cycle life consumption counting coefficient, and the number of secondary cycles with the same secondary cycle life consumption counting coefficient.
[0138] Specifically, the roulette wheel low cycle fatigue damage consumption calculation device can be a computing device such as a desktop computer, a notebook, a palm computer, and a cloud server. The roulette wheel low cycle fatigue damage consumption calculation device may include, but is not limited to, a processor and a memory. Those skilled in the art can understand that the schematic Figure 6 is only an example of the roulette wheel low cycle fatigue damage consumption calculation device, and does not constitute a limitation on the roulette wheel low cycle fatigue damage consumption calculation device. It may include more or fewer components than shown in the figure, or combine certain components or different components. For example, the roulette wheel low cycle fatigue damage consumption calculation device may also include input / output devices, network access devices, buses, etc.
[0139] Embodiment 3
[0140] Reference Figure 7 , a computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, the steps of the method described in Embodiment 1 are implemented.
[0141] Specifically, the computer program can be divided into one or more modules / units, and the one or more modules / units are stored in the memory and executed by the processor to complete the present invention. The one or more modules / units can be a series of computer program instruction segments capable of performing specific functions, and the instruction segments are used to describe the execution process of the computer program in the roulette wheel low cycle fatigue damage consumption calculation method.
[0142] Although the present invention has been described in detail with reference to the foregoing embodiments, those of ordinary skill in the art should understand that: they can still modify the technical solutions described in the foregoing embodiments, or perform equivalent replacements on some of the technical features; and these modifications or replacements do not make the essence of the corresponding technical solutions deviate from the spirit and scope of the technical solutions of the embodiments of the present invention.
Claims
1. A method for calculating the consumption of low-cycle fatigue damage of a roulette, characterized in that, It includes the following steps: Obtain the maximum speed of the main speed cycle of the roulette wheel, the maximum and minimum speeds of the secondary speed cycle of the roulette wheel, and the standard cycle speed of the roulette wheel; Obtain the standard cycle stress based on the standard cycle speed of the roulette wheel, obtain the main cycle stress based on the maximum speed of the main speed cycle of the roulette wheel and the standard cycle speed of the roulette wheel, and obtain the secondary cycle stress based on the maximum and minimum speeds of the secondary speed cycle of the roulette wheel and the standard cycle speed of the roulette wheel; Calculate the safe life under the standard cycle according to the standard cycle stress, and calculate the safe life of the main cycle according to the main cycle stress; Calculate the safe life of the secondary cycle according to the secondary cycle stress; Obtain the main cycle life consumption counting coefficient based on the safe life of the main cycle and the safe life under the standard cycle, and obtain the secondary cycle life consumption counting coefficient based on the safe life of the secondary cycle and the safe life under the standard cycle; Repeat the steps of obtaining the maximum speed of the main speed cycle of the roulette wheel, the maximum and minimum speeds of the secondary speed cycle of the roulette wheel, and the standard cycle speed of the roulette wheel until the main cycle life consumption counting coefficient and the secondary cycle life consumption counting coefficient at all speeds are calculated; Calculate the consumption of the total low cycle fatigue cycle number according to the main cycle life consumption counting coefficient, the number of main cycles with the same main cycle life consumption counting coefficient, the secondary cycle life consumption counting coefficient, and the number of secondary cycles with the same secondary cycle life consumption counting coefficient.
2. A method for calculating the consumption of low-cycle fatigue damage of a roulette wheel according to claim 1, characterized in that, Obtaining the standard cycle stress according to the standard cycle speed of the roulette wheel, obtaining the main cycle stress according to the maximum speed of the main speed cycle of the roulette wheel and the standard cycle speed of the roulette wheel, and obtaining the secondary cycle stress according to the maximum and minimum speeds of the secondary speed cycle of the roulette wheel and the standard cycle speed of the roulette wheel includes the following steps: Obtain the relationship that the stress is proportional to the square of the speed; Obtain the standard stress cycle 0 - S0 - 0, where S0 is the stress in the takeoff state; where S0 is obtained through the standard cycle speed of the roulette wheel and the relationship that the square of the speed is proportional to the stress; Obtain the main cycle stress according to the maximum speed of the main speed cycle of the roulette wheel, the relationship that the stress is proportional to the square of the speed, and the takeoff state stress S0; obtain the secondary cycle stress according to the maximum and minimum speeds of the secondary speed cycle of the roulette wheel, the relationship that the square of the speed is proportional to the stress, and the takeoff state stress S0.
3. A method for calculating the consumption of low-cycle fatigue damage of a roulette wheel according to claim 2, characterized in that, The relational expression of the square of the speed and the stress ratio is as follows: where n i is the i-th operating speed; n0 is the standard cycle speed; S0 is the standard maximum stress, and S i is the stress corresponding to the i-th operating speed.
4. A method for calculating the consumption of low-cycle fatigue damage of a roulette wheel according to claim 1, characterized in that, Calculating the safe life of the main cycle according to the main cycle stress; calculating the safe life of the secondary cycle according to the secondary cycle stress includes the following steps: Obtain the ultimate strength σ of the roulette material b ; Construct the average S - N curve of the long - life section in the metal material, and obtain the safe S - N curve according to the average S - N curve; Obtain the relationship between the life N and the cyclic stress σ according to the safety S-N curve x ; Obtain the standard cyclic life according to the relationship between the state stress (standard cyclic maximum stress) S0, the life N, and the cyclic stress σ x ; Obtain the safe life of the primary cycle according to the relationship between the life N and the cyclic stress σ x ; and obtain the safe life of the secondary cycle according to the relationship between the life N and the cyclic stress σ x , the maximum stress and the minimum stress of the secondary cycle.
5. A method for calculating the consumption of low cycle fatigue damage of a roulette wheel according to claim 4, characterized in that, The service life N and the cyclic stress σ x are related as follows:
6. A method for calculating the consumption of low cycle fatigue damage of a roulette, according to claim 5, wherein According to the relationship between the life N and the cyclic stress σ x and the principal cyclic stress, obtain the safe life of the principal cycle; according to the relationship between the life N and the cyclic stress σ x and the relationship, the maximum stress and the minimum stress of the secondary cycle, the safe life of the secondary cycle is calculated as follows: Primary loop 0 - S i - Stress cycle of 0, S after Goodman conversion eqi and corresponding life N i is as follows: Among them, S i is the corresponding maximum stress, and N i is the safe life under the stress of S i ; The S-th cycle min ci -S max ci -S min ci For the stress cycle, the S after Goodman transformation eqci and the corresponding life N ci are as follows: Among them, S max ci is the maximum stress of the secondary cycle, and S min ci is the minimum stress of the secondary cycle, and N ci is the safe life under the secondary cycle.
7. A method for calculating the consumption of low cycle fatigue damage of a roulette wheel according to claim 2, characterized in that, Obtaining the main cycle life consumption counting coefficient based on the safe life of the main cycle and the safe life under the standard cycle, and obtaining the secondary cycle life consumption counting coefficient based on the safe life of the secondary cycle and the safe life under the standard cycle includes the following calculation methods: Main loop life consumption counting coefficient C i The calculation method is as follows: where N i is the main cycle life of the i-th cycle, and N0 is the life under standard cycles; Secondary cycle life consumption count coefficient C ci The calculation method is as follows: Where N ci is the sub-cycle life of the i-th cycle, and N0 is the life under standard cycles.
8. A method for calculating the consumption of low cycle fatigue damage of a roulette, according to claim 7, wherein Calculate the consumption of the total low cycle fatigue cycle number LC according to the main cycle life consumption counting coefficient, the number of main cycles with the same main cycle life consumption counting coefficient, the secondary cycle life consumption counting coefficient, and the number of secondary cycles with the same secondary cycle life consumption counting coefficient. The calculation method is as follows; LC = ∑m i C i + ∑m ci C ci ; Among them, m i is the number of main cycle times with a counting coefficient of C i , and C i is the main cycle life consumption counting coefficient; m ci is the number of main cycle times with a counting coefficient of C ci , and C ci is the secondary cycle life consumption counting coefficient.
9. A calculating device for low cycle fatigue damage consumption of a roulette, characterized in that Include, An acquisition device that acquires the maximum speed of the main speed cycle of the roulette wheel, the maximum speed and the minimum speed of the secondary speed cycle of the roulette wheel, and the standard cycle speed of the roulette wheel; A calculation device that obtains the standard cycle stress based on the standard cycle speed of the roulette wheel, obtains the primary cycle stress based on the maximum speed of the main speed cycle of the roulette wheel and the standard cycle speed of the roulette wheel, and obtains the secondary cycle stress based on the maximum speed, the minimum speed of the secondary speed cycle of the roulette wheel, and the standard cycle speed of the roulette wheel; Calculate the safe life under the standard cycle based on the standard cycle stress, and calculate the safe life of the primary cycle based on the primary cycle stress; Calculate the safe life of the secondary cycle based on the secondary cycle stress; obtain the primary cycle life consumption counting coefficient based on the safe life of the primary cycle and the safe life under the standard cycle, and obtain the secondary cycle life consumption counting coefficient based on the safe life of the secondary cycle and the safe life under the standard cycle; An acquisition device that repeats the steps of acquiring the maximum speed of the main speed cycle of the roulette wheel, the maximum speed and the minimum speed of the secondary speed cycle of the roulette wheel, and the standard cycle speed of the roulette wheel until the primary cycle life consumption counting coefficient and the secondary cycle life consumption counting coefficient at all speeds are calculated; A calculation device that calculates the consumption of the total low cycle fatigue cycle number based on the primary cycle life consumption counting coefficient, the number of primary cycles with the same primary cycle life consumption counting coefficient, the secondary cycle life consumption counting coefficient, and the number of secondary cycles with the same secondary cycle life consumption counting coefficient.
10. A computer-readable storage medium storing a computer program, characterized in that, When the computer program is executed by a processor, it implements the steps of the method according to any one of claims 1-8.