Reliability in Engineering Design

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. 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.

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
• Introduction and Overview
• Rules of Probability
• Probability Examples
• Conditional Probability
• Expectations and Variance Definition
• Expectation and Variance of Continuous Functions
• Normal Distribution PDF and CDF
• Load-Strength Interference Theory
• Load-Strength Interference Examples
• Material Degradation and Time to Failure Modeling
• Practice Problems for Test 1
• Lognormal Distribution, Reliability, Hazard Rate and MTTF
• Exponential Distribution and Examples of MTTF Estimation
• Weibull Distribution
• Multimodal Distributions and Mixed Multiple Failure Mechanisms
• Goodness of Fit
• Binomial and Poisson Distributions
• Practice Problems for Test 2
• Reliability Block Diagrams
• Monte Carlo Simulation
• Uncertainty in Geometry, Load and Strength
• Covariance and Correlation
• Covariance and Correlation Examples
• First Order Reliability Methods Introduction
• First Order Reliability Methods Examples
• Reliability Review During Design
• Accelerated Degradation
• Accelerated Testing and Acceleration Factors
• Practice Problems for Test 3
• Time to Failure Models for Mechanical Systems