In this study, we employed a systematic approach to deeply analyze the dynamic principles involved in acrobatic pole balancing performances. Through precise measurement and analysis of the physical characteristics of performers and poles, we established a dynamic model that comprehensively considers mass distribution, moment of inertia, gravitational effects, and mechanical laws. This model quantifies key kinematic parameters such as angular velocity and angular acceleration, and sets detailed initial and boundary conditions. Utilizing mathematical modeling and physical analysis methods, we solved the differential equations describing the motion of the pole, obtaining key motion parameters such as the tilt angle, angular velocity, and angular acceleration of the pole. These parameters not only provide us with a quantitative description of the mechanical behavior of the pole balancing performance but also offer performers a scientific tool for predicting the impact of actions and developing compensation strategies. The research results indicate that through precise control and adjustment, the safety and artistry of pole balancing performances can be significantly improved, providing new perspectives and theoretical support for research and practice in related fields.
DU et al. (Wed,) studied this question.