Study on the Motion Characteristics of two-ball Hysteretic Pendulum

Abstract

The hysteresis pendulum is that two or more pendulum balls are connected in series at the midpoint of the motor rotation axis, rotated under the action of the motor, and when they are stable, each pendulum ball moves in a uniform circumference in its own horizontal plane. The latter pendulum ball lags the former pendulum ball by π phases. The main factors that affect the stable motion of hysteretic pendulum are the mass of pendulum ball and cycloid length. Therefore, the study on the stability of hysteretic pendulum is a complex nonlinear problem. Firstly, mathematical modeling and analysis are carried out on the hysteretic pendulum, and then the control variable method is applied to study the influence of pendulum mass and cycloid length on the stability of the two pendulum balls. The experimental results are in good agreement with theoretical derivation, which provides a way of thinking for studying the motion law of multi-ball hysteretic pendulum.