ABSTRACT
This chapter discusses the hybrid dynamical model of the church bell and validate it by comparing the results of numerical simulations with data obtained experimentally. It investigates a plethora of different dynamical behaviors encountered during the analysis of the hybrid dynamical model of the church bell. Although the design of a bell, its clapper, and a belfry has been developed for centuries, mathematical modeling of their behavior has been encountered recently. Moreover, the dynamics of a yoke–bell–clapper system is extremely complex and difficult to analyze due to its nonlinear characteristic, repetitive impacts, and complicated excitation. The amplitude of the clapper’s motion is larger than the bell’s, and the clapper’s velocity sign remains the same after the collisions. Bellsmounted in the English manner usually work in the “sticking clapper” regime in which the clapper and the bell remain in contact for a certain amount of time.
