Hey /sci/,does anyone know a derivation to thin rod dynamics. Especially transverse

I will help you if you tell me where to get cube food.

>>7811502
http://www.bonappetit.com/entertaining-style/trends-news/article/food-cubes-art

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]