Learn the methods of reliability analysis and reliability-driven design of mechanical and electronic systems. The course is aimed at providing an engineering view (as opposed to a purely statistical view or a management view) of reliability analysis as well as reliable product design.
Class Deals by MOOC List - Click here and see EdX's Active Discounts, Deals, and Promo Codes.
The goal is to make the student familiar with both the statistical tools as well as the failure physics that enable one to model time to failure of products and to use such models during design phase to ensure reliable product designs.
This course is part of the Reliability and Decision Making in Engineering Design MicroMasters Program
What you'll learn
- Probability rules and conditional probabilities
- Expectation and variance of continuous functions and their manipulation
- Failure rate modeling
- Normal, lognormal, exponential, Weibull, binomial and Poisson distributions
- Reliability, mean time to failure and availability
- Data fitting and reliability estimation
- Multimodal distributions and mixed multiple failure mechanisms
- Reliability block diagrams
- Monte Carlo simulation
- Load-strength interference and probabilistic design
- First-order reliability methods
- Accelerated tests and acceleration factors
- Time to failure modeling for selected failure mechanisms in mechanical and electronic systems
Syllabus
Week 1:
Introduction and Overview
Rules of Probability
Week 2:
Probability Examples
Conditional Probability
Week 3:
Expectations and Variance Definition
Expectation and Variance of Continuous Functions
Normal Distribution PDF and CDF
Week 4:
Load-Strength Interference Theory
Load-Strength Interference Examples
Week 5:
Material Degradation and Time to Failure Modeling
Practice Problems for Test 1
Week 6:
Lognormal Distribution, Reliability, Hazard Rate and MTTF
Test 1
Week 7:
Exponential Distribution and Examples of MTTF Estimation
Weibull Distribution
Week 8:
Multimodal Distributions and Mixed Multiple Failure Mechanisms
Goodness of Fit
Week 9:
Binomial and Poisson Distributions
Practice Problems for Test 2
Week 10:
Reliability Block Diagrams
Test 2
Week 11:
Monte Carlo Simulation
Uncertainty in Geometry, Load and Strength
Covariance and Correlation
Week 12:
-Covariance and Correlation Examples
First Order Reliability Methods Introduction
Week 13:
- First Order Reliability Methods Examples
- Reliability Review During Design
Week 14:
- Accelerated Degradation
- Accelerated Testing and Acceleration Factors
- Practice Problems for Test 3
Week 15:
- Time to Failure Models for Mechanical Systems
- Test 3
