Weybulla ma rosepodil law. Logarithmically normal rozpodil. Last day plan viprobuvan

The exploitation of the virob according to the resource is associative only in that case, if the virob needs to be stuck in the first place. Such virobi store all 5% of all installations on the lithuania. To that, some of the MSG-3 analyzes allow for a significant amount of maintenance, the robots are included in the cob turn of important MSI objects, and there is a need for a tool that is necessary to help you in your diet.

In order to accumulate sufficient information, the intervals can be changed for a specific operator, and for all operators through the revision of the MRB sound. To do this, you need to grunt a change in the interval, you need tools.

Such an instrument is an analysis of hopes. One of the most effective and widely recognized methods is the analysis of Weibull's hopes.

Rozpodil Weibull, named after the Swedish engineer Waloddi Weibull (Waloddi Weibull, 1887-1979 pp.) In Russia, they mated with the names of the famous Russian mathematician Boris Volodimirovich Gnedenko (born 1912-1995). technical service maintenance

Evidence of the operation of technical systems and their elements shows that they are characterized by three types of deposits and intensity of images at the hour t, which are shown in three periods of the life cycle (Fig. 18).

Small. eighteen.

Three types of deposits of intensity of views at every hour can be adjusted, vicoristas for an easy description of the type of growth and distribution of Weibull - Gnedenko. This is due to the high growth rate of fallowness for the solidity and quality of the moment of change and f (t) ma viglyad:

de c is the parameter of the formation of the distribution, s> 0;

b - parameter to the scale of the distribution, b> 0;

і - parameter of the position of the spacer, і< t.

Intensity of vidm l (t), which is caused by the Weibull-Gnedenko rozpodil, is initiated by viraz:

With the parameter i, the formation of the rozpodil c< 1 интенсивность отказов л(t) монотонно убывает (период приработки), при с = 1 интенсивность отказов постоянна: л(t) = const (период нормальной работы), а при с >1 - monotonically growing (period of wear). Otzhe, by choosing the parameter z on the skin three periods of the life cycle, it is possible to correct the theoretical fallowness of l (t), as to reach close to the experimental value. In general, the fall of the indicators of hopes can be varied on the basis of the theoretical fallowness l (t).

The function of the Weibull - Gnedenko rosette F (t), which shows how quickly it is displayed є the setting of the dropping pod (view) at the dropping hour

The function of hopes, start to be known as R (t), to start equal R (t) = 1 - F (t). One of the functions R (t) is called the function of vision, that is why it describes the image of what is seen at the moment t.

In fig. 19. indications type of functions of reliability at different values parameter form with. If the formation parameter is less than 1, then the function of reliability R (t) will change drastically by an hour of life, later, in the growing hour t, the change will increase more often. If the parameter is formed from more than 1, then there will be little change in hopes, and then, by fixing it at the hour t, it will decrease quickly.

Small. 19.

The point, where all the curves change, is called the characteristic hour of life and the beginning of the hour, if 63.2% of the vibration has been absorbed: R (t) = 1 - 0.632 = 0.368.

In the aviatiya rozpodil Weibulla vikorystovuyutsya for rozrakhunku ob'ktiv:

• - dvigun disks, with a resource;
• - engine modules and components (with interim operation);
• - elements of the glider, shilny to vtomnogo ruynuvannya;
• - superiority of components.

Rozpodil describes all three main rosodil of views:

• - files and images;
• - vipadkovі vіdmovi;
• - vidmovi, fallow lands from napratsyuvannya.

There is a need for dressing. Supposedly, according to the MGS-3 analysis of the video, it was not brought up to category 5 (not safe), nor up to 8 (addictions, not safe), but the device can be used to generate messages, but also to the drive period. Todi mi maєmo all must be provided with the help of maintenance, but robots for maintenance in this particular type are not required, moreover, the object can be added to the list of important objects for maintenance.

If you want to lie down in the direction, the Weibull analysis can also be used to find the most suitable interval.

For the reason, it is necessary to go even more respectfully to the value of the fallowness of the types of viruses in the direction.

By the same rank, the TO B737 program can be continuously developed on the basis of analytical and empirical data, so that one can collect and analyze data about reliability.

There is a great number of laws in the range of different values, described in special literature. Most of the time, the best ones are often used in engineering projects of hopes - displays of Weibull products.

Exponential (impressions) law

Tsey law to finish often vikoristovuєtsya to describe the VBR is NOT visible - vstanovlyuyutsya virobiv. Tse one-parameter law. If we think of it as if it’s true that the virobi is in accordance with the law, then for a given virobi in these minds of exploitation λ is permanently meaningful (λ = const), so that in every prominence the number of views or hour. As a rule, the law is described by the law raptovi vidmovi virobiv.

The exponential development describes the direction to the output of the device, in which, as a result of the good output control, during the day of the production period, and the values ​​of the resource of the settings before the end of the operating period is normal.

Tsi objects can be brought to "not old" (T) == const... The number of such objects is wide: folding technical systems with no components, including calculating technology and automatic regulation systems, etc.

Vvazhaєtsya, that the size of the object's direction to the form is ordered by an exponential rosette, as the missile defense system is described by the viraz:

where λ is the parameter of distribution, which is equal to the results of the test.

λ1 / 0 ,

de 0 - Estimation of the average price to the mark.

FBG to start zgіdno viraz: Р (t) = e – λ t

H frequency of vidmov α (t) = λ e- λ t

Average napratsyuvannya to the first vidmov and t avg = 1 / λ

Intensity of images (average number of pods per hour) λ = const

The graphs of the change in the indicators of lack of impairment during the exponential growth of the hover in Fig. 1.

Slid mean, when t< < 1 , T.E. t rich menshoy, lower middle napratsyuvannya T 0 , turn (1) - (4) can be simplified by replacing e -t two first members of the distribution e -t in a statistic row.

For example, viraz for VBR nabude viglyadu:

P (t) = 1-λt + (λt) 2/2! - (λt) 3/3! + ... ≈1- λt

when tsiom miscalculation P (t) I will not misinterpret 0.5 (t) 2 .

Weibull's law

The number of changes is the most frequent for the improvement of the intensity of the images for the period from the beginning and from the beginning. On the buttstock, the terms of the service for insulating the elements of the electric net are shown in detail. physical the processes that lead to old and new isolation and described by the Weibull rose.

The need for the most advanced elements of electrical fences, such as power transformers, cable lines, in the meaning of the world, is necessary for the overhead of robotics and isolation, the "performance" of how to survive. KEY FEATURES іzolyatsії elektromehanіchnih virobіv Je її elektrichna mіtsnіst, yak in zalezhnostі od minds ekspluatatsії i mean virobu viznachaєtsya mehanіchnoyu mіtsnіstyu, elastichnіstyu scho viklyuchaє mozhlivіst utvorennya zalishkovih deformatsіy, trіschin, rozsharuvan pid vplivom mehanіchnih navantazhen, tobto neodnorіdnostey.

Among the re-insured factors, which are the beginning of the term of the service of insulating the meanings of the elements of electrical fences, one of the main factors, the most theoretical and reversing experimentally, є warmly old. On the basis of experimental data, the rule was adopted in the form of an "eight-degree" rule, based on how the temperature is adjusted, based on an organic basis, on the skin level in the middle of the fast

In a given hour, in the fallow class, the six-, eight-, ten- and twelve-degree rules are set. The term of the service of insulation in the fallowness of the temperature of heating

T І = Ae - γθ,

de A - term of service of isolation at θ = 0 - the deyak is a reasonable value; γ - coefficient, which characterizes the stages of the old isolation in the fallowness of the class; θ - temperature of overheating of the insulation.

Yakshcho vipadkova the value of the distribution behind the law Weibull, then

FBG Р (t) = e ^ - λ 0 t k

Vidmov frequency α (t) = λ 0 kt k -1 e ^ - λ 0 t k

Intensity of images λ = λ 0 kt k -1

Average napratsyuvannya to the first vidmoi t cp = Г (1 / k + 1) / λ 0 1 / k

de G (x) - the gamma of the function "x", the meaning of which is tabular.

The "K" parameter is injected into the shape of the curves and is called the shape parameter.

Parameter λ 0 is a scale parameter that characterizes the elongation of the curves of the abscis axis. When K = 1, there is little evidence of the law. At λ 0 = 2.5 3.5, Weibull's growth is close to normal. We will explain the numbness of Weibull's law and the widespread zasosuvannya. This law describes the process of detecting rapt vidms, if the parameter "K" is close to one, and if it is close to normal, and also, if it’s a good idea to cause a chill.

Rozpodil Weibulla (weak Lanka model)

It is a practical need to manage the reduction of the intensity of the images, to allow the growth of the lamps, so that it is necessary to produce the basic principles of the theory of superiority (exponential, normal, logarithmically-normal). , lamps and other elements of control systems, which are characterized by old, non-uniform wear, not uniform in cob quality.

In 1939, the Swedish mathematician and engineer V. Weibull (1887-1979), who analyzed the ideas, explained the wear of ball bearings, proponed the function of the driver, hand-held to describe the good vibrations of the material, an empirical change and also a residual vibration, which is not very short. "

Do not dwell on the assessment of the fairness of these words in this hour, it’s great, but in the simplest function of Weibull, we have a two-parameter function of the distribution of values:

de T, s- according to the parameters of the scale and form.

Mid-1950s, pp. Interes to grow up Weibull grows up, it looks like a good model for describing the reliability of folding annexes. The whole law appears to be the most attractive for the analysis of the triviality of the powerless robots of the strained electric vacuum attachments of the NHF.

B.V. Gnedenko standing up, so Weibull rose by an asymptotic rise of the third type for the minimum values ​​of the last independent quantities... The characteristic power of the Weibull law has been brought: = min (X v X 2, X p) according to the order of the Weibull rose, and the values ​​of X (, X 2,..., xn nezalezhnі і nevertheless rozpodіlenі, then the stench also pіdkoryayutsya tse law. A lot of attachments mean a number of one-sided elements, which are found in the same minds of exploitation. As soon as I repeat the elements, I will put in the initial, according to the date up to an hour, no wizardry, then the scheme will be adopted, as we vede up to Weibull's rise. Vidmova will be able to see how the output of any one of the parameters is outside the established tolerance. You can vvazyat, but changes in the parameters є poorly linked to the processes. Todi, if t. Is the degree of reliability for the i-th parameter, then the resource in its entirety is yak t = min (t r t 2, ..., t l).

The function of hope in the case of Weibull's growth in the outward appearance starts with three parameters і maє viglyad:

de -, / 0 - parameters for scale, form, zsuvu (parameter zsuvu

to be called the "threshold of sensitivity") }