Investigate Stick-Slip Intervals with One Equation Of Motion And Analyse The Effect Of The Friction Noise
Ammar A. Yousif Mohammed, InzarulfaishamAbd Rahim
Keywords:stick-slip, natural frequency, squeal, contact angle, rigid body dynamic, runge-kutta method
ABSTRACT: An attempted to understand the noise generated during the car brake was led the researcher to search for oscillation systems that represent the brake disc-pad.They were found that the oscillation between the disc and the padduring the noise generated wereself-sustained stick-slip oscillations and can be present in a one degree of freedom. In this article an attempted was investigated to solve the stick-slip oscillation by MATLAB software with one mathematical equation only instead of using three separated equation resultedfrom different three oscillation equation condition interval. Find out the sign function had made this method possible. However, stick-slip oscillation forone degree of freedomwas solved in this paper by using this method. Study of the effect of changing the dynamic properties was investigated also to predict the noise generatesby changing these parameters. The contact interaction between mass and the belt was solved to find out the relation between the friction andthe relative velocity. The relative velocity curve was conducted through solving the system frictionequation by means of numerical time integration method ODE45. Friction-relative velocity values were used later inside ABAQUS software with beam on rotating rigid disc with different contact angle and condition. This study investigates the effect of the friction on the noise generated from brake at low frequency. The vibration responses showed that the friction relative velocity ratio is responsible for the separation of the system amplitude value. Changing the contact angle could change the noise generated and presented higher fundamental frequency. As a result, this method was approved to be correct method to study stick- slip phenomena.
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