Demonstration of using Hamilton's Principle to derive the equations of motion and the boundary conditions for a uniform beam with non-classical boundary conditions.
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CHAPTERS:
0:00 Intro
1:03 Hamilton's Principle
1:22 Kinetic Energy
3:03 Potential Energy
4:07 External Work
5:08 Integrating the External Work
6:45 Integrating the Potential Energy
9:32 Integrating the Kinetic Energy
15:23 Substituting into Hamilton's Principle
18:48 Equations of Motion
19:15 Boundary Conditions
22:52 Recap
24:10 Outro