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3.3. Research of influence of position of fields of tolerances of values of controllable parametres, and also methodical and operation components of an error on magnitudesof errors of the first and second sort at use of algorithm of diagnosing.

For the purpose of working out of algorithm of calculation of probabilities of errors of the first and second sort at the set algorithm of diagnosing it is necessary to examine influence of position of fields of tolerances on magnitudes of errors of the first and second sort.

Taking into account the mathematical operations done in subitem 3.1.

And 3.2. The present operation, we will receive:

Expressions for calculation of methodical errors of the first M and the second Р2М sorts (2.40) will look as follows:

1 if "t"-1

And - »

(3.9)

L'gm

About differently about differently And for errors of the first and second sort taking into account a measuring error and a variation of the mean error, we receive: ^eksp ^ *) - X] X

Г*Т

(3.10)

\eaiu [} X %) flJt [AJtBj] about differently

("G L

1

Р2Э1Л = A TT X

g ' =1

leauflX'tt^elAjiBj] v/*1

About differently In this case also it is expedient to take advantage of a method Monte - Karlo at which vectors kvazisluchajnyh numbers {Xj} are generated, {X2}..., {XN} according to aspects of laws and parametres of distribution functions of diagnostic parametres H |, Х2..., Hts. Combinations of values ({Xj} i, {X2} j..., {XK} j), where i=l. N ', N7 - number of values on i kontrolirue - momu to parametre, correspond to a combination of values H |, X2..., Xn controllable parametres.

1 p_j

Fig. 3.13 Dependence Pi and Rg from parametres XI and Х2 at a law combination raspredele -

Fig. 3.14 Dependence R | and Р2 from parametres XI and Х2 at a combination of the law of distribution

Fig. 3.15 Dependence R | and Р2 from parametres XI and Х2 at a combination of the law of distribution of distribution parametres/errors: "uniform/normal"

With a view of research of influence of position of boundaries of fields of tolerances H | and Х2, and also methodical and operation components of an error on Piv and Р2у the Monte-Carlo method, receives dependences for a case of two structural parametres linked with diagnostic parametre by square dependence? = AXj + vh\at unit values of factors And and In the tolerance on diagnostic parametre. 04

Fig. 3.16 Dependence R | and Р2 og parametres XI and Х2 "uniform/uniform"

The river '

Fig. 3.17 Dependence R | and Р2 from parametres XI and Х2 at a combination of the law of distribution

Fig. 3.18 Dependence R | and Р2 from parametres XI and Х2 at a combination of the law of distribution of distribution parametres/errors: «vsjbulla / Uniform»

Ratio of tolerances of controllable parametres to their averages a quadra -

ticheskim to aberrations was in a range 0 - 6 and from a variation of the mean error to magnitude of a tolerance zone - in a range 1 - 20 %. From results of experiment follows, that the total error of I sort renders considerable influence in a range kd (factor of position of boundaries of the tolerance zone defined as a ratio of the tolerance of parametre to an average kvadratichesko - mu to an aberration of values of controllable parametre) - 0 - 2,5, and a total error of II sort - more than 3. Proceeding from the aforesaid, in the absence of the a priori information of parametres in case of application of algorithm of diagnosing, values of errors of the first and second sort can be used at

Combination of laws "uniform/uniform", as ensuring the worst variant.

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A source: Isakova Kira Sergeevna. RESEARCH And PERFECTING of METROLOGY SECURITY of DIAGNOSING AT MAINTENANCE SERVICE And REPAIR of VEHICLES (ON the ELECTRIC EQUIPMENT EXAMPLE). The thesis on competition of a scientific degree of a Cand.Tech.Sci. A speciality motor transport 05.22.10-maintenance. Vladimir -. 2007

More on topic 3.3. Research of influence of position of fields of tolerances of values of controllable parametres, and also methodical and operation components of an error on magnitudesof errors of the first and second sort at use of algorithm of diagnosing.:

  1. 3.2. Research of influence of variation of the mean errors of values of controllable parametres on magnitudes of errors of the first and second sort at indirect monitoring of availability index of product LTS
  2. 3.1. Research of influence of variation of the mean errors of values of controllable parametres on magnitudes of errors of the first and second sort at direct monitoring of availability index of product of automatic telephone exchange.
  3. 2.3. Working out of a technique of an estimation of performances of reliability prn use of algorithms of diagnosing taking into account a methodical making error, a measuring error n a variation of the mean error.
  4. 3.4. Research of influence of errors of definition of input data on magnitude of a confidence interval of criterion of efficiency of metrology security of diagnosing of availability index of product of automatic telephone exchange.
  5. 2.1. Working out of a design procedure of tolerances at the direct control taking into account an operating time of vehicles and influence of a variation of the mean error of measurement.
  6. 2.2. Working out of a design procedure of tolerances at the indirect control taking into account influence of time of maintenance of vehicles, a variation of the mean error of measurement and completeness of the spent control.
  7. 4,3 Influence of a configuration magnetic field z-components on physical fields and stability of an aluminium electrolytic furnace
  8. CHAPTER 4. WORKING out And RESEARCH of ALGORITHM of METROLOGY SECURITY of the CONTROL And DIAGNOSING of AVAILABILITY INDEX OF PRODUCT of VEHICLES
  9. 4.1 Working out of algorithm for realisation of metrology security of the control and automatic telephone exchange diagnosing.
  10. the Block of storage of values of errors of vertical code words
  11. the Block of a finding of locators and values of errors of horizontal code words
  12. 2.5. Definition of mathematical dependences for calculation of probabilities of errors of the first and second sort in the conditions of recurrence, intermediate pretsizionnosti and reproducibility at realisation of a standard method of measurements.
  13. a methodical error of calculationof properties of condensed
  14. definition of rational values of parametres of process of levigating
  15. 2.2. About algorithm of the computer program for modelling of thermodynamic and structural performances at phase transition of the first sort for GTSK nanoklasterov metals
  16. definition of rational values of parametres of process of mixing
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