• Length:
17 Weeks
• Effort:
7–9 hours per week
• Price:

FREE
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• Institution
• Subject:
• Level:
Intermediate
• Language:
English
• Video Transcript:
English
• Course Type:
Instructor-led on a course schedule

## Prerequisites

Undergraduate mechanics of materials course. A learner should understand (or be willing to learn) the concepts of shear force, bending moment, and stress.

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

Skip What you'll learn

What You Will 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

Skip 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:

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 Testing and Acceleration Factors
• Practice Problems for Test 3

Week 15:

• Time to Failure Models for Mechanical Systems
• Test 3

Ganesh Subbarayan
Professor, School of Mechanical Engineering
Purdue University

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