Modal Analysis Using The Normal Mode Method

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
   • Two Degree of Freedom (2DOF) Problem ...  

So What is a Mode Shape Anyway - Solving the Eigenvalue Problem
   • So What Is A Mode Shape Anyway? - The...  

Forced Vibration of a SDOF System:
   • Forced Vibrations of a Single Degree ...  

Differential Equations Primer - Finding the Homogeneous (Transient) Solution:
   • Differential Equations Primer (1 of 2...  

Differential Equations Primer - Finding the Particular (Steady-State) Solution:
   • Differential Equations Primer (2 of 2...  

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