# 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.