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