Lect 11-18.pdf

# Lect 11-18.pdf - Reliability Modeling Life Multpliers...

• Notes
• 28

This preview shows page 1 - 7 out of 28 pages.

Reliability Modeling

Subscribe to view the full document.

Life Multpliers MIL-HDBK-217 is very well known in military and commercial industries. It is probably the most internationally recognized empirical prediction method, by far. The latest version is MIL-HDBK-217F, which was released in 1991 and had two revisions in 1992 and 1995. where: π S is the stress factor π T is the temperature factor π E is the environment factor π Q is the quality factor π A is the adjustment factor According to the handbook, the failure rate of a commercial ceramic capacitor of 0.00068 μF capacitance with 80% operation voltage, working under 30 degrees ambient temperature and "ground benign" environment is 0.0217x10 -6 hours.
Failure Simulatons

Subscribe to view the full document.

Random number generation using inverse transform The rule of probability integral transform states that if X is a contnuous random variable with cumulatve distributon functon F X , then the random variable Y = F X ( X ) has a uniform distributon on [0, 1]. The inverse probability integral transform is just the inverse of this.
Let x be a random variable whose distributon can be described by the cumulatve distributon functon F(x) . We want to generate values of x which are distributed according to this distributon. The inverse transform sampling method works as follows: 1. Generate a random number u from the standard uniform distributon in the interval [0,1]. 2. Compute the value x such that F ( x ) = u . 3. Take x to be the random number drawn from the distributon f(x) described by F(x) . Random number generation using inverse transform

Subscribe to view the full document.

Then, to generate a random tme from a Weibull distributon with a given η and β , a uniform random number from 0 to 1, U R [0, 1], is frst obtained. The random tme from a Weibull distributon is then obtained from F(t) = 1 – exp (-t/ h) b R(t) = 1 - F(t) = exp (-t/ h) b t = h {-ln ( U R [0,1])} 1/b Failure simulation using Weibull distribution
Failure simulation applications: Warranty Analysis
You've reached the end of this preview.
• Fall '17
• Makarand Kulkarni

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern