Elasticity polar coordinates and Lagrange multipliers
Dear all,
I want to run an elasticity simulation (centrifugal force) for a rotor with interior magnets (comparable with #113 (closed)). But at the moment, I have some trouble to set the correct constraints. I know about two possible methods:
- using polar coordinates to set the constraints
- using lagrange multipliers to set the constraints normally in Cartesian coordinates
For simplicity, I started with a rotating disc. But my implementation of both methods doesn't work. Maybe someone could give me a hint for this? I attached the .geo and .pro files of the rotating disc. I need a radial constraint at the inner radius (u_r = 0) and symmetric constraints at the two lines (left: u_x = 0, bottom: u_y = 0), of course, the symmetric ones are easy. But later I will have lines that are not parallel to the x- and y-axis.
Another point is that I want to model the contact between interior magnets and steel (also like in the other issue). Is it correct, that Lagrange multipliers can be used for this, too? If yes, how could I do that?
I would appreciate any help.
Best regards, Alex