Quantitative characterization method and system for environmental adaptability of product

Abstract

The invention discloses a quantitative characterization method and system for environmental adaptability of a product. The method comprises the following steps: acquiring environmental inadaptation data of the product in a specific environment; determining parameters of a distribution function of environment adaptation time of the product by utilizing the environment inadaptation data of the product and the distribution form of the environment inadaptation data of the product; determining environment infitness by using parameters of the distribution function; according to the environment infitness, determining a probability density function of the time adapting to the environment and the environment fitness; determining the environmental inadaptability of the product by using the ratio of the probability density function to the environmental fitness; solving the inverse function of the environmental fitness of the product to obtain the environmental adaptation life of the product; the environmental inadaptability, environmental fitness, environmental inadaptability and environmental adaptation life of the product constitute quantitative characterization indexes of the environmental adaptability of the product. The method provided by the invention realizes quantitative characterization of the environmental adaptability of the product.

Description

Technical Field

[0001] This invention belongs to the field of environmental adaptability assessment, and specifically relates to a method and system for quantitative characterization of the environmental adaptability of a product. Background Technology

[0002] GJB 4239A-2022, "General Requirements for Environmental Engineering of Equipment," defines environmental adaptability as: the ability of equipment (or "product") to achieve all its intended functions and performance and / or remain undamaged under various environmental conditions it may encounter during its lifespan. Environmental adaptability is one of the important quality characteristics of a product.

[0003] Throughout its entire lifespan, the storage, transportation, and operational status of any equipment are subject to the individual, combined, and integrated effects of various environmental factors, including climate, mechanical, and biochemical factors, and these factors vary depending on the specific combat mission and its different stages. Under the combined or interactive effects of various environmental factors, the function / performance or lifespan of equipment will inevitably be affected, thereby reducing or even eliminating its ability to perform various combat missions and leading to various accidents. To a certain extent, the combat effectiveness of equipment is closely related to its service environment, as well as the environmental tolerance of the materials, components, and parts selected, and the environmental resistance measures adopted in its structural and technological design and protection system. Once equipment is finalized, its selected materials, components, structural composition, processing technology, and protection system are fixed, and its environmental tolerance is essentially fixed. Therefore, environmental adaptability is an inherent quality characteristic of equipment, and stable environmental adaptability and advanced specialized characteristics under different environments are important standards for measuring the effectiveness of equipment.

[0004] GJB 4239A-2022 specifies that the environmental adaptability of a product is characterized by "environmental adaptability requirements." The definition of "environmental adaptability requirements" is a comprehensive set of quantitative and qualitative indicators describing the level of environmental adaptability a product should achieve. It is typically characterized by the stress intensity and combination (or combination) of various environmental factors, the degree of influence allowed by product specifications, or the range (tolerance) of functional and performance parameter variations, and / or time. Therefore, the environmental adaptability of equipment (products) is characterized by a series of quantitative and qualitative indicators. These indicators include three aspects: environmental values, performance tolerance, and time. This characterization is "non-quantitative" and relatively complex. Most importantly, this characterization method is "non-allocatable" and "non-transferable." This results in a lack of a quantitative indicator that can be allocated and calculated step-by-step from equipment to system to subsystem to complete machine to component during equipment demonstration and design.

[0005] In the existing technology, there is a lack of clear and operable quantitative characterization and calculation methods for comprehensively quantifying, characterizing and calculating the environmental adaptability of equipment, as well as for analyzing its correlation. Summary of the Invention

[0006] In view of this, the purpose of the present invention is to provide a method for quantitatively characterizing the environmental adaptability of a product, which can quantitatively characterize the environmental adaptability of a product.

[0007] The objective of this invention is achieved through the following technical solution: A method for quantitatively characterizing the environmental adaptability of a product, characterized by comprising: Obtain data on the product's environmental maladaptation under specific conditions; Using the environmental maladaptation data of the product and the distribution pattern of the environmental maladaptation data, the parameters of the distribution function of the product's environmental adaptation time are determined; The environmental inadequacy of the product is determined using the parameters of the distribution function. , It is time The function; Based on the environmental incompatibility of the product Determine the probability density function of the time required for the product to adapt to the environment. and the environmental adaptability of the product ; The probability density function of the product's adaptation time to the environment. and the environmental adaptability of the product The ratio of the values ​​is used to determine the environmental incompatibility rate of the product. ; Solve for the inverse function of the product's environmental adaptability to obtain the product's environmental adaptability lifespan. ; The environmental incompatibility, environmental adaptability, environmental incompatibility rate, and environmental adaptability lifespan of the product constitute the quantitative characterization indicators of the product's environmental adaptability.

[0008] Furthermore, the distribution of the environmental maladaptation data for the product includes exponential distribution, normal distribution, log-normal distribution, Weibull distribution, etc.

[0009] Furthermore, the quantitative characterization indicators of the product's environmental adaptability are divided into quantitative characterization indicators of task environmental adaptability and quantitative characterization indicators of basic environmental adaptability. The quantitative characterization indicators of task environmental adaptability refer to the quantitative characterization indicators of environmental adaptability when the product's function fails and thus affects the completion of the task. The quantitative characterization indicators of basic environmental adaptability refer to the quantitative characterization indicators of environmental adaptability when the product needs maintenance but does not affect the product's function and the completion of the task.

[0010] Furthermore, the environmental adaptability life of the product is the average environmental adaptability life of the product. When the product is an irreparable product, the average environmental adaptability life of the product refers to the average time before the product becomes environmentally unsuitable; when the product is a repairable product, the average environmental adaptability life of the product is the average interval between environmental unsuitability events.

[0011] Furthermore, the environmental adaptability life of the product is the median environmental adaptability life of the product, that is, the environmental adaptability life corresponding to an environmental adaptability of 0.5.

[0012] Furthermore, the fitness function of the product under multiple environments is the product of the environmental fitness functions of the product under each environment.

[0013] The present invention also provides a method system for quantitative characterization of the environmental adaptability of a product, the system comprising: Memory, configured to store computer programs; The processor is configured to execute the computer program to implement the method for quantitative characterization of the environmental adaptability of the product as described above.

[0014] The present invention also provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the method for quantitative characterization of the environmental adaptability of a product as described above.

[0015] The present invention also provides a method for determining the environmental adaptability of the whole machine, the method comprising: The environmental adaptability of each product in the whole machine is determined based on the method described above. When the purpose of assessing the environmental adaptability of the whole machine is to measure the resources required for repairing or maintaining the normal operation of the whole machine, and the products are in series, the product of the environmental adaptability of each product in the whole machine is taken as the environmental adaptability of the whole machine. When the purpose of evaluating the environmental adaptability of the whole machine is to measure the ability or probability of the whole machine to complete the task, the environmental adaptability of the whole machine is calculated according to the series and / or parallel relationship based on the impact of the product on the completion of the task and whether the product has redundant design.

[0016] The beneficial effects of this invention are: The method of this invention constructs and defines a series of probability-based quantitative characterization indicators for environmental adaptability, including environmental adaptability, environmental maladaptability, environmental maladaptability rate, and environmental adaptability lifetime (MTTEU, MTBEU). It clarifies the physical meaning and interrelationships of these indicators; proposes probability distribution functions and probability density functions for environmental adaptability / environmental maladaptability; and provides mathematical conversion calculation formulas for the series of indicators. It establishes an environmental adaptability calculation model for products under various environmental influences during their lifespan, as well as a method and model for calculating the environmental adaptability of whole-machine products from the environmental adaptability of unit-level products.

[0017] The method of this invention can be used for the demonstration, allocation, design, testing and evaluation of equipment environmental adaptability indicators, etc., and provides a quantitative and comprehensive indicator of environmental adaptability. This changes the current situation where environmental adaptability indicators are determined by environmental category, qualitatively or only semi-quantitatively. At the same time, MTTEU and MTBEU determine the product life or overhaul period, which can provide a scientific basis for determining equipment use and maintenance resources, and has a relatively broad application prospect.

[0018] Other advantages, objectives, and features of the invention will be set forth in part in the description which follows, and in part will be apparent to those skilled in the art from the following examination, or may be learned from practice of the invention. The objectives and other advantages of the invention can be realized and obtained through the following description. Attached Figure Description

[0019] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will now be described in further detail with reference to the accompanying drawings, wherein: Figure 1 It is a schematic flowchart of a method for quantitatively characterizing the environmental adaptability of a product; Figure 2 This is the Wt curve corresponding to the basic environmental adaptability in Embodiment 1 of the present invention; Figure 3 This is the Wt curve corresponding to the task environment adaptability in Embodiment 1 of the present invention; Figure 4 This refers to the Gt curve in Embodiment 2 of the present invention; Figure 5 This is the Wt curve in Embodiment 2 of the present invention. Detailed Implementation

[0020] The preferred embodiments of the present invention will now be described in detail with reference to the accompanying drawings. It should be understood that the preferred embodiments are for illustrative purposes only and are not intended to limit the scope of protection of the present invention.

[0021] This application proposes a method for quantitatively characterizing the environmental adaptability of a product, such as... Figure 1 As shown, the method includes: Obtain data on the product's environmental maladaptation under specific conditions; By utilizing the environmental maladaptation data of the product and the distribution pattern of the environmental maladaptation data of the product (e.g., the time of environmental maladaptation of the product), the parameters of the distribution function of the product's environmental adaptation time are determined; Using the parameters of the distribution function, determine the environmental maladaptation function of the product. , It is time The function; Based on the environmental incompatibility of the product Determine the probability density function of the time required for the product to adapt to the environment. and the environmental adaptability of the product ; The probability density function of the product's adaptation time to the environment. and the environmental adaptability of the product The ratio of the values ​​is used to determine the environmental incompatibility rate of the product. ; Solve for the inverse function of the product's environmental fitness function to obtain the product's environmental fitness lifespan. ; The environmental incompatibility, environmental adaptability, environmental incompatibility rate, and environmental adaptability lifespan of the product constitute the quantitative characterization indicators of the product's environmental adaptability.

[0022] It should be noted that product environmental maladaptation data can clearly reflect the characteristics of a product or system's maladaptation to a specific environment, and usually includes three core dimensions: maladaptation time, maladaptation pattern, and maladaptation mechanism.

[0023] The maladaptation time generally includes the maladaptation time of a single product, such as product A becoming maladapted to the environment after operating for 1 year (e.g., 1 year); the maladaptation times of multiple products can form a maladaptation time series, such as the maladaptation times of 5 products B, C, D, E, and F, which are 1.0 years, 1.5 years, 1.8 years, 2.0 years, and 2.1 years, respectively.

[0024] Misfit modes and mechanisms refer to the specific manifestations and causes of environmental failure in products. For example, product G experiences mechanical fracture after 3 years of use (misfit mode), and the cause of the fracture is environmental corrosion (misfit mechanism). Misfit modes and mechanisms are closely related to the aforementioned misfit duration. Different misfit modes and mechanisms have different distribution parameters. Although the statistical time data used is the misfit duration, the underlying misfit modes and mechanisms are generally the same. Different misfit modes and mechanisms should be considered separately.

[0025] A product's environmental adaptability can be defined as the various environments that the product is expected to encounter during its life cycle. Under the influence of time, fitness is the probability that a device can achieve all its predetermined functions and performance and / or remain undamaged within time t. Fitness is a function of time and can be denoted as: , or It can be expressed by the formula: , (1) in, This represents the time it takes for a product to adapt to its environment; it is a random variable. For environmental conditions. It should be noted that here... It can also represent other parameters, as long as they reflect the product's adaptability to the environment, for example, It can indicate the number of product cycles, the product's operating mileage, etc.

[0026] Environmental fitness exhibits both time dependence and asymptotic characteristics. Time dependence refers to the time dependence of environmental fitness. As a function of time, the maladaptivity accumulates over time, while environmental fitness decreases over time. Therefore, The value ranges from [0,1]. Progressivity refers to the fact that when a product is first used, its environmental adaptability is 1, i.e. As time increases, its environmental adaptability gradually decreases, and when time approaches infinity, its environmental adaptability approaches 0.

[0027] In contrast to environmental adaptability, environmental maladaptability refers to the various environmental conditions a product is expected to encounter during its lifespan. Under the influence of time The probability that an object cannot perform its intended function and performance and / or is destroyed is denoted as . , or This can be expressed as a formula: , (2) in, This represents the time it takes for a product to adapt to its environment; it is a random variable.

[0028] when When it is a discrete random variable, its values The probability is denoted as ,but Based on the definition of maladaptivity, for Values ​​less than or equal to The probability distribution function, i.e.: , (3) if If it is a continuous variable, then the distribution function There exists a probability density function : (4) Furthermore, according to formulas (1) and (2), the relationship between environmental fitness and environmental maladaptation is as follows: (5) It can be a continuous distribution or a discrete distribution. For example, when the random variable is taken as the population of environmental adaptation lifespan (it should be noted that the entire population of the research objects is usually called the population. When the population size is small or finite, the maladaptation time of each individual in the population is discrete. When the population size is very large or close to infinite, the population distribution can be approximated as a continuous distribution of an infinite population. Since a continuous distribution of an infinite population is more convenient when dealing with problems, but theoretically, it requires the population to be infinite or sufficiently large), It is a continuous distribution, describing the environmental adaptation life distribution of a product; while when the random variable is taken as the population of the number of times a product is maladapted (i.e., the set of the number of times maladapted occurs for each identical product), It is discrete and describes the distribution of product maladaptation frequency. Commonly used maladaptation distributions include the exponential distribution, normal distribution, log-normal distribution, and Weibull distribution.

[0029] Environmental adaptability life is the time during which a product maintains an environmental adaptability level of W or higher at a certain requirement. , , or .

[0030] The environmental fitness lifetime function is the inverse function of the environmental fitness function, and can be expressed as: (6) To ensure the product meets an environmental adaptability requirement greater than or equal to a certain set value (W) for its environmental lifespan. For example... This represents the product lifespan when its environmental adaptability drops to 0.9. Physically, it refers to the product's usage time under various environmental conditions when there is a 90% probability that the product will achieve all its intended functions and performance and / or remain undamaged. A product's environmental adaptability lifespan can be calculated by statistically analyzing the product's environmental incompatibility rate in actual use, or by designing reasonable tests and collecting relevant test data.

[0031] The environmental adaptability life of a product can be considered as its average environmental adaptability life. When the product is an irreparable product, the average environmental adaptability life refers to the mean time to environmental unworthiness (MTTEU), which is the average time that each identical product can operate normally before encountering an environmental unworthiness condition, and is simply referred to as the "mean time to unworthiness".

[0032] For example, a batch of irreparable products (e.g., The time when each product became unsuitable for the environment (i.e., the time it had been operating normally before) is as follows: The average time before discomfort It can be represented as: (7) For example, if the probability density function of a product's environmental adaptability lifespan is g(t), then: (8) When the product is repairable, its mean environmentally adaptable lifespan is defined as the Mean Time Between Environmental Unworthiness (MTBEU), or simply the mean unworthiness interval. For example, if a repairable product experiences environmental unworthiness under environmental conditions but can be repaired and reused, then MTBEU = total usage time ÷ number of unworthiness events. If a product is used for 5 years in a humid, hot marine environment, and open circuits occur due to solder joint corrosion, it can be re-soldered and reused. If the number of open circuits during this period is 2, then MTBEU = 2 years. MTBEU reflects the product's stability under environmental conditions.

[0033] The environmental adaptability lifespan of a product can also be considered as the median environmental adaptability lifespan of the product. Environmental adaptability The median environmental adaptability life corresponds to a value of 0.5. The median environmental adaptability life reflects the lifespan when the product's performance is roughly equal to its failure rate.

[0034] Environmental maladaptation rate refers to the rate of environmental maladaptation during the lifespan of a plant. The probability that a product that remains adapted to its environment at a given moment will become maladapted to it within a unit of time after that moment is called the maladaptation rate. or ,Right now: , (9) In equation (9), the numerator represents the probability of maladaptation occurring within (t, t+Δt) under the condition that the product can still work normally at time t.

[0035] in, This indicates the time it takes for a product to adapt to its environment (i.e., the product's environmental adaptation lifespan). (10) Therefore, the environmental unsuitability rate of the product can be derived: (11) In this invention, the quantitative characterization indicators of a product's environmental adaptability are divided into quantitative characterization indicators of task environmental adaptability and quantitative characterization indicators of basic environmental adaptability. The quantitative characterization indicators of task environmental adaptability refer to the quantitative characterization indicators of environmental adaptability when the product's function fails, thus affecting task completion; the quantitative characterization indicators of basic environmental adaptability refer to the quantitative characterization indicators of environmental adaptability when the product requires maintenance but does not affect its function or task completion.

[0036] For example, environmental maladaptation rates can be divided into task-environment maladaptation rate (referred to as "task maladaptation rate") and basic environmental maladaptation rate (referred to as "basic maladaptation rate"). Task-environment maladaptation rate corresponds to situations where the product is not adapted to the environment, leading to product failure and inability to complete the task. Other environmental maladaptation rates correspond to basic environmental maladaptation rates. For example, product corrosion; if corrosion leads to a decrease in structural strength or even fracture, causing the product to lose its ability to complete the task, it should be counted as task maladaptation rate. If the degree of corrosion requires timely repair and maintenance but does not affect the ability to complete the task, it should be counted as basic maladaptation rate. Task maladaptation rate statistics can assess the product's ability to complete the task, while basic maladaptation rate statistics can assess the repair and maintenance resources required by the product.

[0037] Correspondingly, a product’s environmental adaptability, incompatibility, and environmental adaptability life can all be divided into task environmental adaptability, incompatibility, adaptability life, and basic environmental adaptability, incompatibility, and adaptability life.

[0038] Environmental adaptability refers to a product's adaptability to various environmental conditions. However, in reality, products do not experience all environments simultaneously; for example, they may encounter humid and hot marine environments, dry and hot desert environments, or high-altitude and frigid environments. The obtained environmental intolerance rates are data collected separately for each of these different environments, and the statistics only reflect environmental adaptability under specific conditions. Furthermore, environmental testing often assesses different environments separately, such as high-temperature tests and damp-heat tests according to GJB 150A, which also statistically reflect environmental adaptability under specific conditions. Therefore, to calculate a product's environmental adaptability, a comprehensive evaluation of its environmental adaptability under various environmental conditions is necessary.

[0039] If the various environments expected during the product's lifespan are as follows: The environmental adaptability of the product under various environmental conditions is as follows: Therefore, the product's adaptability in multiple environments is the product of the product's environmental adaptability functions in each environment. In other words, the product's environmental adaptability in complex environments can be expressed as: (12) A complete system refers to an assembly of several products or units capable of performing a specific function. In actual engineering, data is often obtained at the unit-level, showing the environmental incompatibility rate of each product, and the calculated environmental adaptability is also for each unit-level product. To evaluate the environmental adaptability of a complete system, it is necessary to consider how to calculate the environmental adaptability of the complete system from the environmental adaptability of the unit-level products.

[0040] The present invention also provides a method for determining the environmental adaptability of the whole machine, the method comprising: The environmental adaptability of each product in the whole machine is determined based on the method described above. When the purpose of assessing the environmental adaptability of the whole machine is to measure the resources required for repairing or maintaining the normal operation of the whole machine, and the products are in series, the product of the environmental adaptability of each product in the whole machine is taken as the environmental adaptability of the whole machine. When the purpose of evaluating the environmental adaptability of the whole machine is to measure the ability or probability of the whole machine to complete the task, the environmental adaptability of the whole machine is calculated according to the series and / or parallel relationship based on the impact of the product on the completion of the task and whether the product has redundant design.

[0041] Specifically, the calculation method for calculating the environmental adaptability of a complete product from the environmental adaptability of a unit-level product should be determined according to the purpose of the environmental adaptability assessment.

[0042] When assessing the environmental adaptability of the entire machine to measure the resources required for repair and maintenance, all environmental maladaptation rates (task maladaptation rate, basic maladaptation rate) should be calculated, and each unit-level product should be connected in series. Assume the adaptability of each product is... (N is the total number of unit-level products, N=1, 2, 3…), then the basic environmental adaptability of the whole machine to maintenance is the product of the environmental adaptability functions of each product in the whole machine, that is: (13) When the purpose of evaluating the environmental adaptability of a system is to measure the system's ability or probability of completing a task, only the task unsuitability rate is counted. At the same time, the overall task environmental adaptability is calculated according to the series and / or parallel relationships based on the impact of unit products on the overall system's task completion and whether there is redundant design.

[0043] The present invention also includes a method system for quantitatively characterizing the environmental adaptability of a product, the system comprising: Memory, configured to store computer programs; The processor is configured to execute the computer program to implement the method for quantitative characterization of the environmental adaptability of the product as described above.

[0044] The present invention also provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the method for quantitative characterization of the environmental adaptability of a product as described above.

[0045] The specific process of the method of the present invention will be illustrated below through specific examples.

[0046] Example 1: Characterization and calculation of product environmental adaptability for "0" and "1" type failure products, considering whether they affect the task. A batch of electronic products exhibits environmental maladaptation modes including: I. Corrosion of the metal casing, affecting appearance or structural strength, but not impacting task completion within a certain range; II. Environmental factors causing no output signal (functional failure, affecting task completion). Twenty products were randomly selected from the batch for testing. At 100h (I), 400h (I), 600h (I), 800h (I), 1000h (II), and 1500h (II), six products exhibited environmental maladaptation issues (the "I" and "II" in brackets after the above data indicate the environmental maladaptation mode). The remaining products showed no environmental maladaptation issues up to 2000h.

[0047] The basic environmental adaptability index and the mission environmental adaptability index of the product are calculated separately according to the exponential distribution. Where θ is the average lifetime of the exponential distribution, and T... r denoted as the total experimental time, and r as the number of samples that are not adapted to the environment.

[0048] (1) Basic environmental adaptability The total test time is:

[0049] It should be noted that the total time includes the testing time for all samples. 4400 = 100 + 400 + 600 + 800 + 1000 + 1500 represents the testing time for the six samples that exhibited environmental maladaptation, including samples with two maladaptation modes. The remaining 14 samples without issues each had a testing time of 2000 hours.

[0050] Parameters of the exponential distribution: (This formula is the average lifetime θ estimation method of exponential distribution, which is the total test time divided by the number of failed samples) The distribution function is then: ; The density function is: ; The environmental fitness function is: ; The environmental maladaptation rate function is: ; The environmental adaptation lifetime function is: .

[0051] The Wt curve is as follows Figure 2 As shown.

[0052] (2) Task environment adaptability The total test time is:

[0053] This total test time only considers samples exhibiting maladaptive mode "II" that affects the task; all other samples are considered to have no maladaptive behavior. 2500 = 1000 + 1500, which is the sum of the test times for the two samples exhibiting maladaptive behavior (maladaptive mode "II"). The test time for the remaining 18 samples is 2000 per sample.

[0054] Parameters of the exponential distribution:

[0055] The distribution function is then: ; The density function is: ; The environmental fitness function is: ; The environmental maladaptation rate function is: ; The environmental adaptation lifetime function is: .

[0056] The Wt curve is as follows Figure 3 As shown.

[0057] Example 2: Environmental Adaptability Characterization and Calculation of Performance-Degrading Products A certain type of rubber material underwent a thermal aging test in the laboratory, and the material compression deformation rate (ε) was measured periodically. The data are shown in Table 1. It should be noted that the blank positions in Table 1 are missing data.

[0058] Table 1. Laboratory accelerated compression set data for a certain type of rubber (unit: %)

[0059] The following is the calculation process of various functions of the environmental adaptability of a certain type of rubber material.

[0060] (1) Rubber materials are not suitable for pseudo-life calculation. Inappropriate pseudo-lifespan refers to the product lifespan calculated by transforming performance degradation data after the product has been subjected to environmental conditions. This product lifespan is not obtained through direct testing, but rather through calculation based on degradation data and given performance thresholds.

[0061] The experimental data were fitted using the following formula (14): (14) in, This indicates the change in the material's compressive permanent deformation rate; Indicates the aging test time (unit: days (d)); Represents the constant of the rate of change of performance (unit: d⁻¹); It is a constant; It is an empirical constant. .

[0062] Pick The data is fitted. A failure threshold is then determined. The unfitted pseudo-lifetime was calculated, and the fitting results are shown in Table 2. In Table 2, the lifetimes t are arranged from smallest to largest. R in Table 2 represents the Pearson correlation coefficient used for the fitting calculation.

[0063] Table 2. Calculation Table for the Incompatibility of Rubber Materials with Pseudo-Life

[0064] (2) Calculation of distribution function The Shapiro-Wilk test shows that the environmental maladaptation lifespan t follows a log-normal distribution, i.e. (15) In the above formula (15), Represents the standard normal distribution function. The logarithmic mean is... is the logarithmic standard deviation.

[0065] The parameters of the distribution function are estimated using a linear estimation method with constant truncation.

[0066] For a log-normal distribution, with a sample size of n=15 and an environmentally unsuitable sample size of r=15, D'(n,r,j) and C'(n,r,j) can be obtained from the optimal linear unbiased estimate coefficient table for the log-normal distribution parameters (Note: These are the two coefficients of the optimal linear unbiased estimate (BLUE). These two coefficients can be directly referenced, and their values ​​can be obtained from a dedicated statistical table based on the n and r values, such as the electronic industry standard SJT11101-1996 "Tables for Life Testing - Tables for Best Linear Unbiased Estimation - Normal Distribution Log-normal Distribution"). They are listed in columns four and six of Table 4.

[0067] Table 3. Optimal Linear Unbiased Estimation Coefficients of Log-Normal Distribution Parameters

[0068] The optimal linear unbiased estimator formula is: .

[0069] As shown in Table 3, we can see that: .

[0070] Based on the relationship between the optimal linear invariant estimator and the optimal linear unbiased estimator, we can obtain The optimal linear invariant estimator (BLIE) is as follows: , in, and The data can be obtained by referring to the data tables in SJT11101-1996 "Tables for Life Testing - Best Linear Unbiased Estimation Tables - Normal Distribution Log-Normal Distribution". Then you can get The most estimated linear invariant estimate is: , , Next, the environmental adaptability characteristics and lifespan of the rubber material are calculated.

[0071] The distribution function is: ; The density function is: ; The environmental fitness function is: ; Environmental adaptability lifespan is: ; in, The W quantile of the standard normal distribution The median lifetime is: ; The environmental unease rate function is: .

[0072] The Gt and Wt curves in this case are as follows: Figure 4 and Figure 5 As shown.

[0073] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and are not intended to limit it. Although the present invention has been described in detail with reference to preferred embodiments, those skilled in the art should understand that modifications or equivalent substitutions can be made to the technical solutions of the present invention without departing from the spirit and scope of the present invention, and all such modifications or substitutions should be covered within the scope of the claims of the present invention.

Claims

1. A method of quantitatively characterizing the environmental adaptability of a product, characterized in that, The method comprises: obtaining environmental inadaptation data of a product in a specific environment; determining parameters of a distribution function of the product's environmental adaptation time using the environmental inadaptation data of the product and a distribution form of the environmental inadaptation data of the product; The environmental inadequacy of the product is determined using the parameters of the distribution function. , It is time The function; Based on the environmental incompatibility of the product Determine the probability density function of the time required for the product to adapt to the environment. and the environmental adaptability of the product ; The probability density function of the product's adaptation time to the environment. and the environmental adaptability of the product The ratio of the values ​​is used to determine the environmental incompatibility rate of the product. ; solving an inverse function of the environmental fitness of the product to obtain an environmental fitness life of the product ; the environmental inadaptation degree, the environmental adaptation degree, the environmental inadaptation rate and the environmental adaptation life of the product constitute quantitative characterization indexes of the environmental adaptability of the product.

2. The method of environmental adaptability quantitative characterization of products according to claim 1, characterized in that, The distribution form of the environmental inadaptation data of the product comprises exponential distribution, normal distribution, lognormal distribution, Weibull distribution, etc.

3. The method of environmental adaptability quantitative characterization of products according to claim 1, characterized in that, The quantitative characterization indexes of the environmental adaptability of the product are divided into quantitative characterization indexes of task environmental adaptability and quantitative characterization indexes of basic environmental adaptability, the quantitative characterization indexes of task environmental adaptability refer to the corresponding quantitative characterization indexes of environmental adaptability when product function failure affects task completion, and the quantitative characterization indexes of basic environmental adaptability refer to the corresponding quantitative characterization indexes of environmental adaptability when the product needs to be maintained without affecting product function and task completion.

4. The method of environmental adaptability quantitative characterization of products according to claim 1, characterized in that, The environmental adaptation life of the product is the average environmental adaptation life of the product, when the product is a non-repairable product, the average environmental adaptation life of the product refers to the average time before environmental inadaptation, and when the product is a repairable product, the average environmental adaptation life of the product is the average environmental inadaptation interval time.

5. The method of environmental adaptability quantitative characterization of products according to claim 1, characterized in that, The environmental adaptation life of the product is the median environmental adaptation life of the product, which is the environmental adaptation life corresponding to an environmental adaptation degree of 0.

5.

6. The method of environmental adaptability quantitative characterization of products according to claim 1, characterized in that, The adaptability function of the product in multiple environments is the product of the environmental adaptability functions of the product in each environment.

7. A method system for quantitatively characterizing the environmental adaptability of a product, characterized by, The method comprises: a memory configured to store a computer program; a processor configured to execute the computer program to implement the method for quantitatively characterizing environmental adaptability of a product according to any one of claims 1 to 6.

8. A computer-readable storage medium having stored thereon a computer program, characterized in that, The computer program is executed by the processor to implement the method for quantitatively characterizing environmental adaptability of a product according to any one of claims 1 to 6.

9. A method for determining environmental adaptability of a complete machine, comprising: determining the environmental adaptability of each product in the complete machine according to the method in any one of claims 1 to 6; when the purpose of evaluating the environmental adaptability of the complete machine is to measure the resources required for normal operation of the complete machine after repair or maintenance, the environmental adaptability of each product in the complete machine is in a series relationship, and the product of the environmental adaptabilities of each product in the complete machine is taken as the environmental adaptability of the complete machine; when the purpose of evaluating the environmental adaptability of the complete machine is to measure the ability or probability of the complete machine to complete a task, the environmental adaptability of the complete machine is calculated according to the influence of the product on the complete machine to complete a task and whether the product is designed redundantly, etc., in a series and / or parallel relationship.

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