Vibrations: MDOF Part #2

Hi! This video is the 2nd in a series of three that discusses multi-degree of freedom vibrations problems. In this video, we find the natural frequencies of a MDOF system by deriving the characteristic equation and solving it.

For EML4220 students at USF, this video goes with NS #13.

Part #1:    • Vibrations: MDOF Part #1  
Part #3:    • Vibrations: MDOF Part #3  

00:00 - 01:28 Introduction
01:28 - 05:37 Review of 1DOF
05:37 - 10:38 Assuming a Matrix x(t)
10:38 - 12:57 Eigenvalue Problem
12:57 - 16:49 No Motion (u = 0)
16:49 - 24:20 Characteristic Equation
24:20 - 28:06 Example
28:06 - 29:29 Total Solution