Reliability in Engineering Design (edX)

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