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.

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

[mohammadalirashidioun]

You have been one of the best teachers I've ever had

[iNcog_AoE]

this channel is an absolute gold mine. I'm highly grateful that you've taken the time to make these videos.

[oosconzult.]

thanks, you just solved a serious problem for me

[alialcapone]

Is it possible to derive the equation of motion for shell structures with first-order shear deformation theory?