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Hey /sci/,
does anyone know a derivation to thin rod dynamics. Especially transverse vibrations using curvature, not dispalcemnt.
Or any books
thanks
I will help you if you tell me where to get cube food.
I'm looking for a way to get from
[eqn]\mu\frac{\partial^2X}{\partial t^2}+EI\frac{\partial^4X}{\partial x^4}=0[/eqn]
to
[eqn]L^4\frac{\partial^2K}{\partial t^2}+T^2\frac{\partial^4K}{\partial x^4}=0[/eqn]
where X is displacement, and K curvature. Also do you know how to add non-linear terms to that eqaution?
[math]\mu\frac{\partial^2X}{\partial t^2}+EI\frac{\partial^4X}{\partial x^4}=0[/math]