The dynamics of swinging bells is a timely problem considered when the bell’s supporting structures are designed or monitored. The geometry of a yoke and the magnitude of an excitation force are crucial parameters determining a yoke–bell–clapper system response for a given shape and size of the bell. This paper presents the novel yoke–bell–clapper system with variable geometry and adjustable excitation force. A mathematical model based on the existing prototype is introduced. The mathematical model is validated, and then the influence of the yoke geometry and excitation force on the system response is assessed. The simulations are done using a sample-based approach. The system that undergoes investigation is non-linear, piecewise, and discontinuous. The derived mathematical model can reliably predict the ringing scheme of a bell and associated reaction forces in the supports.

摆钟的动力学问题是钟的支撑结构设计或监测时要及时考虑的问题。轭的几何形状和激振力的大小是决定对给定形状和尺寸的钟的轭-钟-拍板系统响应的关键参数。本文介绍了具有可变几何形状和可调激振力的新型轭-钟-拍板系统。介绍了基于现有原型的数学模型。验证了数学模型，然后评估了磁轭几何形状和激振力对系统响应的影响。模拟是使用基于样本的方法完成的。进行调查的系统是非线性的、分段的和不连续的。