Titel_SS06
which may be seen by performing the integrations in parts, provided that lim ( )t tR tT 0 : 0 00 0 0 ...
ageing phase of the life of the component the more obvious is the decision on when to exchange or maintain the component. The sh ...
for the time till failure. Having established an a-priori model for the failure rate for a considered type of component another ...
If it is assumed that only data from pumps failed within the first year are available the corresponding failure rate is 2.46. If ...
0 0.5 1 1.5 2 2.5 00.511.52 Posterior Prior Likelihood 2.5 0 0.5 1 1.5 2 2.5 00.511.52 Posterior Prior Likelihood 2.5 Figure 5.2 ...
the posterior probability density function has been strongly influenced by the Likelihood function and only allows for positive ...
All Modes Low Rec High Failures/10^6 hours 0.31 1.71 21.94 Failures/10^6 cycles 0.11 0.75 1.51 Repair time (hours) 0.3 0.74 1.3 ...
Population Samples Aggregated time in service (10^6 hrs) Number of demands 17 10 Calendar time Operational time 0.3826 0.0002 11 ...
Continued from the last page Fuses Premature, open 1/hrs 1x10-6 3x10-7 3x10-6 Failure to open 1/D 1x10-5 3x10-6 3x10-5 Pipes < ...
assuming that the load and the resistance variables are statistically independent. This case is called the fundamental case in s ...
The failure probability may now be determined by use of the standard Normal distribution function as: 0 F ()(M M P ) , ...
basic random variables X for which ( ) 0gX the component is in a state of failure and otherwise for g() 0X & the component ...
6 th Lecture: Methods of Structural Reliability Analysis Aim of the present lecture The aim of the present lecture is to introdu ...
6.1 Introduction The first developments of First Order Reliability Methods, also known as FORM methods, took place almost 30 yea ...
d x ()0 F () g Pf X x xx (6.3) where is the joint probability density function of the random variables. This integral is, ...
M M (6.9) The reliability index as defined in Equation (6.9) has a geometrical interpretation as illustrated in Figure ...
'f()x (6.11) where x( , ,..,x 12 xxn)T XXij, ijXi is a vector of realizations of the random variables X representing measureme ...
The mean value and standard deviation of the safety margin M are thus: M350 200 150 MPa 352240 53.15 MPa M whereby the r ...
which can be shown to imply a 5.55% reduction of the probability that the hypotenuse is larger than 13.5. Even though such a cha ...
>? 2 ()0 1 n g i i u uumin (6.15) This problem may be solved in a number of different ways. Provided that the limit ...
«
3
4
5
6
7
8
9
10
11
12
»
Free download pdf