Engineering Systems in Motion: Vibrations of Engineering Systems

Course Description

Welcome to "Engineering Systems in Motion: Vibrations of Engineering Systems," an exciting introductory course that delves into the fascinating world of vibration in engineering structures. This course, offered by GTx, provides a comprehensive exploration of vibration analysis, focusing on Single Degree-of-Freedom (SDOF) systems. You'll learn essential methods to predict and analyze the vibratory motion of engineering structures in response to various inputs. Whether you're an aspiring engineer or a curious learner, this course will equip you with valuable skills to understand and tackle real-world engineering challenges.

What Students Will Learn

  • Modeling and analysis of free vibration in single-degree-of-freedom systems (SDOF)
  • Application of analytical tools in engineering system and device design
  • Derivation of equations of motion for SDOF systems using Newton/Euler laws
  • Analysis of viscous damping effects on free vibration response
  • Plotting and interpretation of SDOF vibratory motion
  • Understanding of vibration system modeling elements
  • Derivation and solution of differential equations of motion for various SDOF systems
  • Analysis of undamped and damped SDOF vibration systems
  • Concepts of natural frequency, damping factor, and time decay in vibration systems

Prerequisites

Students must have successfully completed the course "Engineering Systems in Motion: Dynamics of Particles and Bodies in Planar Two-Dimensional (2D) motion," which is available for free on Coursera. This prerequisite ensures that students have the necessary foundational knowledge to excel in this vibration-focused course.

Course Coverage

  • Introduction to vibrations and their importance in engineering
  • Vibration system modeling elements (mass, springs, dampers)
  • Equivalent spring constants for various systems
  • Generalized coordinates and degrees of freedom
  • Differential equations of motion for SDOF systems
  • Undamped SDOF vibration systems analysis
  • Damped SDOF vibration systems analysis
  • Natural frequency and period of oscillation
  • Transient response solutions
  • Phase angle form of solutions
  • Logarithmic decrement
  • Underdamped, critically damped, and overdamped vibration systems

Target Audience

This course is ideal for engineering students, professionals seeking to expand their knowledge in vibration analysis, and anyone interested in understanding the principles of mechanical vibrations in engineering systems. It's particularly suited for those who have a background in basic engineering dynamics and want to delve deeper into specialized vibration analysis.

Real-World Applications

The skills acquired in this course have numerous practical applications in engineering and industry. Learners will be able to:

  • Design more efficient and stable mechanical systems
  • Analyze and mitigate unwanted vibrations in structures and machines
  • Improve the performance and longevity of engineering devices
  • Contribute to the development of vibration-resistant technologies
  • Enhance safety in various engineering applications by predicting and controlling vibratory motion
  • Apply these principles in fields such as automotive engineering, aerospace, civil engineering, and manufacturing

Syllabus

Week 1 – Vibration System Modeling Elements

Week 2 – Vibration System Differential Equations of Motion

Week 3 – Undamped Single Degree-of-Freedom Vibration Systems

Week 4 – Damped, Single-Degree-of-Freedom Vibration Systems

Week 5 – Damped, Single-Degree-of-Freedom Vibration Systems (continued)

Each week contains multiple modules covering specific topics, from basic concepts to advanced analysis techniques. The course concludes with a comprehensive look at various types of damped vibration systems and their practical applications.