NEW APPROACH TO SOLVING MATHEMATICAL EQUATION FOR DAMPED OSCILLATIONS BY SLIDING (COULOMB) FRICTION AT THE KARAKURI MECHANISM

Abstract
Calculation of the time course and speed of the oscillation motion dampened by centripetal force typically represented by sliding friction is rather complicated mathematical task, which is unnecessary to solve repeatedly for individual stages of the given oscillations until they are completely subdued. The fact that said damping friction force changes its direction of action depending on the direction of movement of the mechanism considerably complicates given solution. To solve the motion equation of such a mechanism, the mathematical software MAPLE using the SIGNUM function is being used.
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Subject(s)
damped oscillations, sliding (Coulomb) friction, Karakuri, trolley, mechanism, MAPLE software
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