Exact modeling of coulomb stick-slip-friction using LCP

[solocan]

Model

I have a simple model. Say a 1DOF-Model like a box on a table pulled with a spring, which follows a given path. The friction between box (The position is y) and the table should be modeled with the coulomb-friction model. Like

$$F_N\mu\geq F_T \rightarrow \dot{y}=0<br /> <br /> F_N\mu<F_T \rightarrow \dot{y}!=0$$

The motion of equation would be something like:

$$m \ddot{y}=F_{spring}(t)-F_{friction}<br />$$

Homework Equations

I have to formulate it in a standard LCP form:




$$w=M \cdot z+q<br /> <br /> w>0<br /> <br /> z>0<br /> <br /> w\cdot z=0$$
in order to solve it with a LCP Solver. I have big difficulties to bring it in this form.

Am I right in this forum?

 

[member 553083]

Yes, this is the correct forum for asking questions about formulating a 1DOF-Model in a standard LCP form.