Week 1 – Vibration System Modeling Elements
- Module 1 – Introduction and Importance of Vibrations
- Module 2 – Vibrations Modeling System Elements - Mass
- Module 3 – Vibrations Modeling System Elements – Linear and Torsional Springs
- Module 4 – Equivalent Spring Constants for Multiple Springs
- Module 5 – Equivalent Spring Constants for Axially and Torsionally Loaded Members
- Module 6 – Equivalent Spring Constants for Beam Structures
- Module 7 – Vibrations Modeling System Elements – Damper
Week 2 – Vibration System Differential Equations of Motion
- Module 8 – Generalized Coordinates and Degrees of Freedom
- Module 9 – Model Real World Systems
- Module 10 – Static Equilibrium – SDOF
- Module 11 – Derive Differential Equation of Motion – SDOF translational motion
- Module 12 – Solve Differential Equation of Motion – SDOF translational motion
Week 3 – Undamped Single Degree-of-Freedom Vibration Systems
- Module 13 – Natural Frequency/Period of Oscillation
- Module 14 – Transient Response Solution
- Module 15 – Phase Angle Form of Solutions
- Module 16 – Analyze Position, Velocity, Acceleration Solutions – SDOF systems
- Module 17 – Solve for Undamped, Free Vibration
- Module 18 – Derive Differential Equation of Motion – SDOF rotational motion
- Module 19 – Derive Differential Equation of Motion – SDOF rotational motion
- Module 20 – Solve Differential Equation of Motion – SDOF rotational motion/Stability
- Module 21 – Solve Undamped, Free Vibration problems
Week 4 – Damped, Single-Degree-of-Freedom Vibration Systems
- Module 22 – Derive Differential Equation of Motion – SDOF damped, free vibration
- Module 23 – Cases of Damping/Critical Damping
- Module 24 – Derive Differential Equation of Motion – SDOF damped, free vibration
- Module 25 – Plot and Interpret Transient Underdamped Vibration
- Module 26 – Solve Differential Equation of Motion – SDOF damped, free vibration
Week 5 – Damped, Single-Degree-of-Freedom Vibration Systems
- Module 27 – Logarithmic Decrement
- Module 28 – Solve Differential Equation of Motion - SDOF rotational damped, free vibration
- Module 29 – Solve for natural frequency, damping factor, and time to decay
- Module 30 – Overdamped Vibration
- Module 31 – Critically Damped Vibration
- Module 32 – Course Conclusion