Мехатроника 1 Бөлім mechatronics

243
Since failure-free work and failure are mutually opposite events, then:
P(t) 
+ 
Q(t)
= 1
at 
t
= 0 and 
n
= 0 we obtain
Q(t) 
= 0 и 
P(t)
= 1.
at 
t
= 0 and 
n
= 
N
, 
Q(t)
= 1 and 
P(t)
= 0.
The distribution of failures in time is characterized by the function of 
the distribution density 
f
(t)
of the operating time to failure. In the statistical 
interpretation:
in a probabilistic treatment:
where Δ
n
is the increment in the number of failed objects and, accordingly, the 
probability of failures in time 
Δt
.
The probability of failures and failure-free operation in the distributional 
density function is expressed by the dependences
:
at 
The failure rate 
λ(t) 
refers to the number of workable objects 
N(p)
.
In the statistical interpretation:
in a probabilistic treatment:
The probability of failure-free operation, depending on the failure rate, can 
be written as:

244
 
 

This is one of the basic relationships of reliability theory.

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