Decoupling of the equations of motion by transforming them into the system's normal coordinates. We derive the theory behind the transformation step-by-step and work an example to demonstrate the method.

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LINKS:
Two Degree of Freedom Problem Without Damping
youtube.com/watch?v=dqtZwZmMh4w

So What is a Mode Shape Anyway - Solving the Eigenvalue Problem
youtube.com/watch?v=LXXQPKWTwZY

Forced Vibration of a SDOF System:
youtube.com/watch?v=oskkteu6H_s

Differential Equations Primer - Finding the Homogeneous (Transient) Solution:
youtube.com/watch?v=S2-26LR8_Es

Differential Equations Primer - Finding the Particular (Steady-State) Solution:
youtube.com/watch?v=GLd1MgiTne4

CHAPTERS:
0:00 Intro
0:52 Step-By-Step
10:30 Recap
11:30 Orthogonality of Normal Modes
17:50 Example Problem
22:46 Putting it All Together
26:00 Outro

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