Exact modeling of coulomb stick-slip-friction using LCP

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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

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

The motion of equation would be something like:

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

Homework Equations



I have to formulate it in a standard LCP form:




<br /> w=M \cdot z+q<br /> <br /> w&gt;0<br /> <br /> z&gt;0<br /> <br /> w\cdot z=0<br />
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?
 
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Yes, this is the correct forum for asking questions about formulating a 1DOF-Model in a standard LCP form.
 
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