A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2015; you can also visit the original URL.
The file type is
In this paper we present a hybrid model of church bell. The dynamical system of yoke-bell-clapper is nonlinear and discontinuous. We use the Lagrange equations of the second type to derive formulas that describe the system's motion. The energy between the bell and the clapper is transmitted via impacts, here modeled using a coecient of energy restitution. The values of the system's parameters have been determined basing on the measurements of the biggest bell The Heart of Lodz in the Cathedralfatcat:kwtnv4njy5dhxf5jbxf5wnz2re