Effect of Friction on Ball-On-Sphere System Modelled by Bond Graph

Abstract

Abstract-This paper presents the model analysis of ballon-sphere system by considering the effect of friction. The ball-on-sphere system is modelled using bond graph technique. In the bond graph modelling procedures of the system, the various subsystems, storage elements, junction structures, transformer elements, dissipating element with appropriate causality assignments and energy exchange that make up the ball-on-sphere system were identified and modelled. In the model analysis of the ball-on-sphere system, the developed model with effect of friction had time of angular position response of the ball (  ) achieved at 0.5253s while in the system model without effect of friction, time of 0.5408s was achieved for the angular position response of the ball (  ). This shows 2.9% improvement of the angular position response of the ball considering frictional effect in the developed bond graph model of the system.