Tapered Beam With An Elastic Foundation
Demonstration of using Hamilton's Principle to derive the equations of motion and the boundary conditions for a non-uniform, tapered beam sitting on an elastic foundation.
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CHAPTERS:
0:00 Intro
1:10 Hamilton's Principle
1:43 Potential Energy
3:00 Kinetic Energy
3:53 Integrating the Potential Energy
9:29 Integrating the Kinetic Energy
11:20 Substituting into Hamilton's Principle
12:35 Equations of Motion
14:17 Boundary Conditions
16:32 Recap
17:51 Outro