Reliability evaluation method, device and system based on non-probabilistic reliability model

Abstract

The application discloses a reliability evaluation method, device and system based on a non-probabilistic reliability model, the method comprising: taking half of the sum of the upper and lower bounds of non-probabilistic parameters as the center position of a circle, taking the difference between the upper and lower bounds as the diameter of the circle, and respectively generating a stress non-probabilistic reliability model and a strength non-probabilistic reliability model; placing the stress non-probabilistic reliability model and the strength non-probabilistic reliability model in the same coordinate system, selecting a corresponding non-probabilistic reliability index calculation method according to the relationship between stress and strength based on stress-strength interference theory, and calculating to obtain a non-probabilistic reliability index. The application can express the case that uncertain parameters are distributed around the mean in most engineering applications, and distinguishes various possible interval relationship cases between stress and strength, and has better applicability and precision.

Description

Technical Field

[0001] This invention belongs to the field of reliability assessment, and specifically relates to a reliability assessment method, apparatus and system based on a nonprobabilistic reliability model. Background Technology

[0002] Uncertainties are prevalent in practical engineering, requiring reasonable quantitative handling. Traditional reliability methods primarily utilize probability theory and fuzzy theory to address uncertainties. However, defining the probability distribution or membership function of parameters necessitates substantial amounts of data and computation, which is insufficient in many engineering applications. Non-probabilistic reliability offers an effective approach for reliability assessment and design in small sample scenarios.

[0003] The uncertain parameter X varies within a certain interval, with its upper and lower bounds being Xa and Xb, respectively. u and X l Then X∈[X l ,X u [X] represents an interval variable. The center point of the interval is X. c =(X u +X l ) / 2, the deviation is X d =(X u -X l ) / 2. Standardizing X gives: X = X c +X d δ, where δ∈[-1,1] is a standardized interval variable.

[0004] Based on the stress-intensity interference theory, stress S and intensity R are treated as interval variables, i.e., S∈[S l ,S u ] and R∈[R l ,R u Then, after standardization, we get R = R c +R d δ, S = S c +S d δ. The non-probabilistic reliability index η is:

[0005]

[0006] The core idea is to compare the strength margin with the range of stress intensity variation to determine the reliability level. However, this method fails to reflect the objective situation that most engineering parameters are concentrated around the mean, and it does not distinguish between intervals of stress and strength, which may lead to large errors in the reliability analysis results based on existing technology. Summary of the Invention

[0007] To address the aforementioned issues, this invention proposes a reliability assessment method, apparatus, and system based on a nonprobabilistic reliability model. This model can represent situations where uncertain parameters are concentrated around the mean in most engineering applications, and it distinguishes between various possible interval relationships between stress and strength, thus exhibiting better applicability and accuracy.

[0008] To achieve the above-mentioned technical objectives and effects, the present invention is implemented through the following technical solution:

[0009] In a first aspect, the present invention provides a reliability assessment method based on a non-probabilistic reliability model, comprising:

[0010] Using half the sum of the upper and lower bounds of the non-probabilistic parameters as the center position and the difference between the upper and lower bounds as the diameter of the circle, stress non-probabilistic reliability models and strength non-probabilistic reliability models are generated respectively.

[0011] By placing the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model in the same coordinate system, and based on the stress-strength interference theory and the relationship between stress and strength, the corresponding nonprobabilistic reliability index calculation method is selected to calculate the nonprobabilistic reliability index.

[0012] Optionally, when the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model do not have an interference region, and the center position R c >S c At that time, R c S is the center of the nonprobabilistic reliability model of strength. c Let R be the center of the stress nonprobabilistic reliability model, where the intensity R is always greater than the stress S, and the nonprobabilistic reliability index η = 1.

[0013] Optionally, when the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model have an interference region, and the two are non-inclusive, and the center position R is... c ≥S c At that time, R c S is the center of the nonprobabilistic reliability model of strength. c R is the center of the stress nonprobabilistic reliability model. c S is the center of the nonprobabilistic reliability model of strength. c Let S be the center of the stress nonprobabilistic reliability model. The interference region represents an unsafe area where the intensity R may be less than the stress S, and the probability of S ≥ R in this unsafe area is 0.5. Then, the unreliability probability is the product of the area of ​​the interference region and the areas of the stress nonprobabilistic reliability model and the intensity nonprobabilistic reliability model, respectively. The formula for calculating the nonprobabilistic reliability index η is:

[0014]

[0015]

[0016]

[0017] Among them, S d R is the radius of the stress nonprobabilistic reliability model. d Let be the radius of the strength nonprobabilistic reliability model.

[0018] Optionally, when the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model are inclusive, the nonprobabilistic reliability index η = 0.5.

[0019] Optionally, when the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model have an interference region, and the two are non-inclusive, and the center position R is... c c At that time, R c S is the center of the nonprobabilistic reliability model of strength. c Let S be the center of the stress nonprobabilistic reliability model. The interference region represents a safe area where the intensity R may be greater than the stress S, and the probability of R ≥ S in this safe area is 0.5. Then, the nonprobabilistic reliability index η is the product of the area of ​​the interference region and the areas of the stress nonprobabilistic reliability model and the intensity nonprobabilistic reliability model, respectively. The formula for calculating the nonprobabilistic reliability index η is as follows:

[0020]

[0021]

[0022]

[0023] Among them, S d R is the radius of the stress nonprobabilistic reliability model. d Let be the radius of the strength nonprobabilistic reliability model.

[0024] Optionally, when the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model do not have an interference region, and the center position R c c At that time, R c S is the center of the nonprobabilistic reliability model of strength. c The center of the stress nonprobabilistic reliability model is the stress R, which is always less than the stress S, and the nonprobabilistic reliability index η = 0.

[0025] Secondly, the present invention provides a reliability assessment device based on a non-probabilistic reliability model, comprising:

[0026] ​​The model generation module is used to generate stress non-probabilistic reliability models and strength non-probabilistic reliability models, respectively, with half of the sum of the upper and lower bounds of the non-probabilistic parameters as the center position and the difference between the upper and lower bounds as the diameter of the circle.

[0027] The nonprobabilistic reliability index calculation module is used to place the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model in the same coordinate system, and select the corresponding nonprobabilistic reliability index calculation method according to the stress-strength interference theory and the relationship between stress and strength to calculate the nonprobabilistic reliability index.

[0028] Optionally, when the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model do not have an interference region, and the center position R c >S c At that time, R c S is the center of the nonprobabilistic reliability model of strength. c Let R be the center of the stress nonprobabilistic reliability model, where the intensity R is always greater than the stress S, and the nonprobabilistic reliability index η = 1.

[0029] Optionally, when the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model have an interference region, and the two are non-inclusive, and the center position R is... c ≥S c At that time, R c S is the center of the nonprobabilistic reliability model of strength. c Let S be the center of the stress nonprobabilistic reliability model. The interference region represents an unsafe area where the intensity R may be less than the stress S, and the probability of S ≥ R in this unsafe area is 0.5. Then, the unreliability probability is the product of the area of ​​the interference region and the areas of the stress nonprobabilistic reliability model and the intensity nonprobabilistic reliability model, respectively. The formula for calculating the nonprobabilistic reliability index η is:

[0030]

[0031]

[0032]

[0033] Among them, S d R is the radius of the stress nonprobabilistic reliability model. d Let be the radius of the strength nonprobabilistic reliability model.

[0034] Optionally, when the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model are inclusive, the nonprobabilistic reliability index η = 0.5.

[0035] Optionally, when the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model have an interference region, and the two are non-inclusive, and the center position R is... c c At that time, R c S is the center of the nonprobabilistic reliability model of strength. c Let S be the center of the stress nonprobabilistic reliability model. The interference region represents a safe area where the intensity R may be greater than the stress S, and the probability of R ≥ S in this safe area is 0.5. Then, the nonprobabilistic reliability index η is the product of the area of ​​the interference region and the areas of the stress nonprobabilistic reliability model and the intensity nonprobabilistic reliability model, respectively. The formula for calculating the nonprobabilistic reliability index η is as follows:

[0036]

[0037]

[0038]

[0039] Among them, S d R is the radius of the stress nonprobabilistic reliability model. d Let be the radius of the strength nonprobabilistic reliability model.

[0040] Optionally, when the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model do not have an interference region, and the center position R c c At that time, R c S is the center of the nonprobabilistic reliability model of strength. c The center of the stress nonprobabilistic reliability model is the stress R, which is always less than the stress S, and the nonprobabilistic reliability index η = 0.

[0041] Thirdly, the present invention provides a reliability assessment system based on a non-probabilistic reliability model, including a storage medium and a processor;

[0042] The storage medium is used to store instructions;

[0043] The processor is configured to operate according to the instructions to perform the steps of the method according to any one of the first aspects.

[0044] Compared with the prior art, the beneficial effects of the present invention are as follows:

[0045] This invention proposes to use a circular nonprobabilistic reliability model to express the situation in most engineering applications where uncertain parameters are concentrated near the mean. Furthermore, based on the circular nonprobabilistic reliability model, reliability assessment is performed, which distinguishes various possible interval relationships between stress and strength. Its applicability and accuracy are superior to existing technologies. ​​Attached Figure Description

[0046] To make the content of this invention easier to understand, the invention will be further described in detail below with reference to specific embodiments and accompanying drawings, wherein:

[0047] Figure 1 This is a flowchart of a reliability assessment method based on a non-probabilistic reliability model according to an embodiment of the present invention;

[0048] Figure 2 R is an embodiment of the present invention c ≥S c A schematic diagram of a circular nonprobabilistic reliability model;

[0049] Figure 3 R is an embodiment of the present invention c c A schematic diagram of a circular nonprobabilistic reliability model. Detailed Implementation

[0050] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be further described in detail below with reference to embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the scope of protection of the invention.

[0051] The application principle of the present invention will be described in detail below with reference to the accompanying drawings.

[0052] Example 1

[0053] This invention provides a reliability assessment method based on a non-probabilistic reliability model, comprising the following steps:

[0054] Step (1) uses half the sum of the upper and lower bounds of the non-probabilistic parameters as the center position and the difference between the upper and lower bounds as the diameter of the circle to generate stress non-probabilistic reliability models and strength non-probabilistic reliability models, respectively. The stress non-probabilistic reliability models and strength non-probabilistic reliability models are circular; specifically, as shown in... Figure 1 As shown, in the circular nonprobabilistic reliability model, the upper and lower bounds are X and X, respectively. u and X l The uncertain parameter X is represented by a circle, with its center at X. c =(X u +X l ) / 2, the deviation radius is X d =(X u -X l ) / 2. Combining the circular nonprobabilistic reliability model with the stress-intensity interference model, the upper and lower bounds are S, respectively. u and S l ​The uncertain parameter stress S, whose center is located at S. c =(S u +S l ) / 2, the deviation radius is S d =(S u -S l ) / 2; the upper and lower bounds are R and R, respectively. u and R l The uncertain parameter intensity R, whose center is located at R c =(R u +R l ) / 2, the deviation radius is R d =(R u -R l ) / 2, respectively, to obtain the stress non-probabilistic reliability model and the strength non-probabilistic reliability model;

[0055] Step (2) Place the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model in the same coordinate system. Based on the stress-strength interference theory and the relationship between stress and strength, select the corresponding nonprobabilistic reliability index calculation method and calculate the nonprobabilistic reliability index.

[0056] As can be seen, this invention proposes to use a circular nonprobabilistic reliability model to express the situation in most engineering applications where uncertain parameters are concentrated near the mean. Furthermore, based on the circular nonprobabilistic reliability model, reliability assessment is performed, which distinguishes various possible interval relationships between stress and strength. Its applicability and accuracy are superior to existing technologies.

[0057] In a first specific embodiment of the present invention, when the stress non-probabilistic reliability model and the strength non-probabilistic reliability model do not have an interference region, and the center position R c >S c When the strength R is always greater than the stress S, the nonprobabilistic reliability index η = 1.

[0058] In a second specific embodiment of the present invention, when the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model have an interference region, and the two are non-inclusive, and the center position R is... c ≥S c At times, such as Figure 2 As shown, the interference region represents an unsafe area where the intensity R may be less than the stress S, and the probability of S ≥ R in this unsafe region is 0.5. Therefore, the unreliability probability is the product of the area of ​​the interference region and the ratios of the areas of the stress non-probabilistic reliability model and the intensity non-probabilistic reliability model, respectively. The formula for calculating the non-probabilistic reliability index η is:

[0059]

[0060]

[0061]

[0062] Among them, S d R is the radius of the stress nonprobabilistic reliability model. d Let be the radius of the strength nonprobabilistic reliability model.

[0063] In a third specific embodiment of the present invention, when the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model are inclusive, the nonprobabilistic reliability index η = 0.5.

[0064] In the fourth specific embodiment of the present invention, when the stress non-probabilistic reliability model and the strength non-probabilistic reliability model have an interference region, and the two are non-inclusive, and the center position R is... c c At times, such as Figure 3 As shown, the interference region represents a safe area where the intensity R may be greater than the stress S, and the probability of R ≥ S in this safe area is 0.5. Therefore, the non-probabilistic reliability index η is the product of the area of ​​the interference region and the areas of the stress non-probabilistic reliability model and the intensity non-probabilistic reliability model, respectively. The formula for calculating the non-probabilistic reliability index η is:

[0065]

[0066]

[0067]

[0068] Among them, S d R is the radius of the stress nonprobabilistic reliability model. d Let be the radius of the strength nonprobabilistic reliability model.

[0069] In the fifth specific embodiment of the present invention, when the stress non-probabilistic reliability model and the strength non-probabilistic reliability model do not have an interference region, and the center position R c c When the strength R is always less than the stress S, the nonprobabilistic reliability index η = 0.

[0070] In the five embodiments above, the stress non-probabilistic reliability model and the strength non-probabilistic reliability model are mutually exclusive (i.e., there is no overlap), and together they constitute all possible scenarios, with calculation results ranging from 0 to 1. Based on the above five cases, the reliability index η of the circular non-probabilistic model can be defined as:

[0071] ​​

[0072] in,

[0073] The method in the embodiments of the present invention will be described in detail below with reference to a specific implementation method.

[0074] A cylindrical tie rod has a cross-sectional radius r = 4 mm and is subjected to a load F = [10, 12] kN. What is the ultimate stress σ that the material can withstand? cr = [220, 250] MPa, find the nonprobabilistic reliability index η of the tie rod.

[0075] Solution: From the cross-sectional dimensions of the tie rod and the load, we can obtain the stress S = F / πr. 2 = [198.9, 238.7] MPa, then S c =(198.9+238.7) / 2=218.8,S d = (238.7 - 198.9) / 2 = 19.9;

[0076] The strength of the tie rod is R = σ cr = [230, 250], then R c = (230 + 250) / 2 = 240, R d = (250-230) / 2 = 10;

[0077] Then R c -S c =240-218.8=21.2, R d +S d =19.9 + 10 = 29.9, |R d -S d | = 19.9 - 10 = 9.9; |R d -S d |≤R c -S c ≤R d +S d ,

[0078]

[0079]

[0080]

[0081] In summary, the non-probabilistic reliability index η of this tie rod is 0.983.

[0082] Example 2

[0083] Based on the same inventive concept as Embodiment 1, this embodiment of the invention provides a reliability assessment device based on a non-probabilistic reliability model, comprising:

[0084] The model generation module is used to generate a stress non-probabilistic reliability model and a strength non-probabilistic reliability model, respectively, with half the sum of the upper and lower bounds of the non-probabilistic parameters as the center position and the difference between the upper and lower bounds as the diameter of the circle; the stress non-probabilistic reliability model and the strength non-probabilistic reliability model are circular; specifically, as follows... Figure 1 As shown, in the circular nonprobabilistic reliability model, the upper and lower bounds are X and X, respectively. u and X l The uncertain parameter X is represented by a circle, with its center at X. c =(X u +X l ) / 2, the deviation radius is X d =(X u -X l ) / 2. Combining the circular nonprobabilistic reliability model with the stress-intensity interference model, the upper and lower bounds are S, respectively. u and S l The uncertain parameter stress S, whose center is located at S. c =(S u +S l ) / 2, the deviation radius is S d =(S u -S l ) / 2; the upper and lower bounds are R and R, respectively. u and R l The uncertain parameter intensity R, whose center is located at R c =(R u +R l ) / 2, the deviation radius is R d =(R u -R l ) / 2, respectively, to obtain the stress non-probabilistic reliability model and the strength non-probabilistic reliability model;

[0085] The nonprobabilistic reliability index calculation module is used to place the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model in the same coordinate system, and select the corresponding nonprobabilistic reliability index calculation method according to the stress-strength interference theory and the relationship between stress and strength to calculate the nonprobabilistic reliability index.

[0086] In a first specific embodiment of the present invention, when the stress non-probabilistic reliability model and the strength non-probabilistic reliability model do not have an interference region, and the center position R c >S c When the strength R is always greater than the stress S, the nonprobabilistic reliability index η = 1.

[0087] In a second specific embodiment of the present invention, when the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model have an interference region, and the two are non-inclusive, and the center position R is... c ≥S c At times, such as Figure 2 As shown, the interference region represents an unsafe area where the intensity R may be less than the stress S, and the probability of S ≥ R in this unsafe region is 0.5. Therefore, the unreliability probability is the product of the area of ​​the interference region and the ratios of the areas of the stress non-probabilistic reliability model and the intensity non-probabilistic reliability model, respectively. The formula for calculating the non-probabilistic reliability index η is:

[0088]

[0089]

[0090]

[0091] Among them, S d R is the radius of the stress nonprobabilistic reliability model. d Let be the radius of the strength nonprobabilistic reliability model.

[0092] In a third specific embodiment of the present invention, when the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model are inclusive, the nonprobabilistic reliability index η = 0.5.

[0093] In the fourth specific embodiment of the present invention, when the stress non-probabilistic reliability model and the strength non-probabilistic reliability model have an interference region, and the two are non-inclusive, and the center position R is... c c At times, such as Figure 3 As shown, the interference region represents a safe area where the intensity R may be greater than the stress S, and the probability of R ≥ S in this safe area is 0.5. Therefore, the non-probabilistic reliability index η is the product of the area of ​​the interference region and the areas of the stress non-probabilistic reliability model and the intensity non-probabilistic reliability model, respectively. The formula for calculating the non-probabilistic reliability index η is:

[0094]

[0095]

[0096]

[0097] Among them, S d R is the radius of the stress nonprobabilistic reliability model. d Let be the radius of the strength nonprobabilistic reliability model.​

[0098] In the fifth specific embodiment of the present invention, when the stress non-probabilistic reliability model and the strength non-probabilistic reliability model do not have an interference region, and the center position R c c When the strength R is always less than the stress S, the nonprobabilistic reliability index η = 0.

[0099] In the five embodiments above, the stress non-probabilistic reliability model and the strength non-probabilistic reliability model are mutually exclusive (i.e., there is no overlap), and together they constitute all possible scenarios, with calculation results ranging from 0 to 1. Based on the above five cases, the reliability index η of the circular non-probabilistic model can be defined as:

[0100]

[0101] in,

[0102] The method in the embodiments of the present invention will be described in detail below with reference to a specific implementation method.

[0103] A cylindrical tie rod has a cross-sectional radius r = 4 mm and is subjected to a load F = [10, 12] kN. What is the ultimate stress σ that the material can withstand? cr = [220, 250] MPa, find the nonprobabilistic reliability index η of the tie rod.

[0104] Solution: From the cross-sectional dimensions of the tie rod and the load, we can obtain the stress S = F / πr. 2 = [198.9, 238.7] MPa, then S c =(198.9+238.7) / 2=218.8,S d = (238.7 - 198.9) / 2 = 19.9;

[0105] The strength of the tie rod is R = σ cr = [230, 250], then R c = (230 + 250) / 2 = 240, R d = (250-230) / 2 = 10;

[0106] Then R c -S c =240-218.8=21.2, R d +S d =19.9 + 10 = 29.9, |R d -S d | = 19.9 - 10 = 9.9; |R d -S d |≤R c -S​c ≤R d +S d ,

[0107]

[0108]

[0109]

[0110] In summary, the non-probabilistic reliability index η of this tie rod is 0.983.

[0111] Example 3

[0112] This invention provides a reliability assessment system based on a non-probabilistic reliability model, including a storage medium and a processor;

[0113] The storage medium is used to store instructions;

[0114] The processor is configured to operate according to the instructions to perform the steps of the method according to any one of Embodiment 1.

[0115] Those skilled in the art will understand that embodiments of this application can be provided as methods, systems, or computer program products. Therefore, this application can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, this application can take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.

[0116] This application is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of this application. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart... Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.

[0117] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing device to function in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means, which are implemented in a process Figure 1 One or more processes and / or boxes Figure 1 The function specified in one or more boxes.

[0118] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1 One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.

[0119] The embodiments of the present invention have been described above with reference to the accompanying drawings. However, the present invention is not limited to the specific embodiments described above. The specific embodiments described above are merely illustrative and not restrictive. Those skilled in the art can make many other forms under the guidance of the present invention without departing from the spirit and scope of the claims. All of these forms are within the protection scope of the present invention.

[0120] The foregoing has shown and described the basic principles, main features, and advantages of the present invention. Those skilled in the art should understand that the present invention is not limited to the above embodiments. The embodiments and descriptions in the specification are merely illustrative of the principles of the invention. Various changes and modifications can be made to the invention without departing from its spirit and scope, and all such changes and modifications fall within the scope of the present invention as claimed. The scope of protection of this invention is defined by the appended claims and their equivalents.

Claims

1. A reliability assessment method based on a non-probabilistic reliability model, characterized in that, include: Using half the sum of the upper and lower bounds of the non-probabilistic parameters as the center position and the difference between the upper and lower bounds as the diameter of the circle, stress non-probabilistic reliability models and strength non-probabilistic reliability models are generated respectively. The stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model are placed in the same coordinate system. Based on the stress-strength interference theory and the relationship between stress and strength, the corresponding nonprobabilistic reliability index calculation method is selected to calculate the nonprobabilistic reliability index. When the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model have an interference region, the two are non-inclusive, and the center position is... hour, The center of the circle in the strength nonprobabilistic reliability model is... The center of the stress nonprobabilistic reliability model is the interference region, which represents the intensity. Possibly less than stress The unsafe area, and in the unsafe area If the probability is 0.5, then the unreliability probability is the product of the area of ​​the interference region and the areas of the stress non-probability reliability model and the intensity non-probability reliability model, respectively. The non-probability reliability index... The calculation formula is: ， ， in, Let be the radius of the stress nonprobabilistic reliability model. Let be the radius of the strength nonprobabilistic reliability model.

2. The reliability assessment method based on a non-probabilistic reliability model according to claim 1, characterized in that: When the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model do not have an interference region, and the center position is... hour, The center of the circle in the strength nonprobabilistic reliability model is... The center of the stress nonprobabilistic reliability model is the strength. Always greater than stress The non-probabilistic reliability index η=1.

3. The reliability assessment method based on a non-probabilistic reliability model according to claim 1, characterized in that: When the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model have an inclusion relationship, then the nonprobabilistic reliability index .

4. The reliability assessment method based on a non-probabilistic reliability model according to claim 1, characterized in that: When the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model have an interference region, the two are non-inclusive, and the center position is... hour, The center of the circle in the strength nonprobabilistic reliability model is... The center of the stress nonprobabilistic reliability model is the interference region, which represents the intensity. May be greater than stress The safe zone, and in the safe zone If the probability is 0.5, then the non-probabilistic reliability index The non-probabilistic reliability index is the product of the area of ​​the interference region and the areas of the stress non-probabilistic reliability model and the intensity non-probabilistic reliability model, respectively. The calculation formula is: ， ， in, Let be the radius of the stress nonprobabilistic reliability model. Let be the radius of the strength nonprobabilistic reliability model.

5. The reliability assessment method based on a non-probabilistic reliability model according to claim 1, characterized in that: When the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model do not have an interference region, and the center position is... hour, The center of the circle in the strength nonprobabilistic reliability model is... The center of the stress nonprobabilistic reliability model is the strength. Always less than stress The non-probabilistic reliability index .

6. A reliability assessment device based on a non-probabilistic reliability model, characterized in that, include: The model generation module is used to generate stress non-probabilistic reliability models and strength non-probabilistic reliability models, respectively, with half of the sum of the upper and lower bounds of the non-probabilistic parameters as the center position and the difference between the upper and lower bounds as the diameter of the circle. The non-probabilistic reliability index calculation module is used to place the stress non-probabilistic reliability model and the strength non-probabilistic reliability model in the same coordinate system, and select the corresponding non-probabilistic reliability index calculation method according to the stress-strength interference theory and the relationship between stress and strength to calculate and obtain the non-probabilistic reliability index. When the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model have an interference region, the two are non-inclusive, and the center position is... hour, The center of the circle in the strength nonprobabilistic reliability model is... The center of the stress nonprobabilistic reliability model is the interference region, which represents the intensity. Possibly less than stress The unsafe area, and in the unsafe area If the probability is 0.5, then the unreliability probability is the product of the area of ​​the interference region and the areas of the stress non-probability reliability model and the intensity non-probability reliability model, respectively. The non-probability reliability index... The calculation formula is: ， ， in, Let be the radius of the stress nonprobabilistic reliability model. Let be the radius of the strength nonprobabilistic reliability model.

7. The reliability assessment device based on a non-probabilistic reliability model according to claim 6, characterized in that: When the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model do not have an interference region, and the center position is... hour, The center of the circle in the strength nonprobabilistic reliability model is... The center of the stress nonprobabilistic reliability model is the strength. Always greater than stress The non-probabilistic reliability index η=1.

8. The reliability assessment device based on a non-probabilistic reliability model according to claim 6, characterized in that: When the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model have an inclusion relationship, then the nonprobabilistic reliability index .

9. A reliability assessment device based on a non-probabilistic reliability model according to claim 6, characterized in that: When the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model have an interference region, the two are non-inclusive, and the center position is... hour, The center of the circle in the strength nonprobabilistic reliability model is... The center of the stress nonprobabilistic reliability model is the interference region, which represents the intensity. May be greater than stress The safe zone, and in the safe zone If the probability is 0.5, then the non-probabilistic reliability index The non-probabilistic reliability index is the product of the area of ​​the interference region and the areas of the stress non-probabilistic reliability model and the intensity non-probabilistic reliability model, respectively. The calculation formula is: ， ， in, Let be the radius of the stress nonprobabilistic reliability model. Let be the radius of the strength nonprobabilistic reliability model.

10. A reliability assessment device based on a non-probabilistic reliability model according to claim 6, characterized in that: When the stress nonprobabilistic reliability model and the strength nonprobabilistic reliability model do not have an interference region, and the center position is... hour, The center of the circle in the strength nonprobabilistic reliability model is... The center of the stress nonprobabilistic reliability model is the strength. Always less than stress The non-probabilistic reliability index .

11. A reliability assessment system based on a non-probabilistic reliability model, characterized in that: Including storage media and processor; The storage medium is used to store instructions; The processor is configured to operate according to the instructions to perform the steps of the method according to any one of claims 1-5.

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