This paper analyzes the rigid body tilting of the spinning disc with a spline-guided boundary condition. Firstly, a comprehensive dynamic model of the flat disc is built to illustrate the general forces during rigid body tilting. On this basis, the tilting model of deformed discs is derived by introducing the shape function. Also, the model accounts for friction at the spline interface, constraints on the tilting angle, and the impact force experienced with the boundary during the tilting motion. A test rig is designed to evaluate the accuracy of the model, and the similarity between experimental and simulated signals is compared in both the time domain and frequency domain. The results show that the rotational speed increases the spectral amplitude associated with boundary impact, whereas disc deformation contributes to variations in the frequency bands of spectral peaks, resulting in the emergence of spectral peaks at higher frequencies.

本文分析了具有样条引导边界条件的旋转盘的刚体倾斜。首先，建立了平盘的综合动力学模型来说明刚体倾斜过程中的一般力。在此基础上，引入形函数，推导了变形盘的倾斜模型。此外，该模型还考虑了样条界面处的摩擦、倾斜角度的约束以及倾斜运动期间边界所受到的冲击力。设计了一个测试装置来评估模型的准确性，并在时域和频域上比较实验信号和模拟信号之间的相似性。结果表明，旋转速度增加了与边界冲击相关的谱振幅，