Abstract

This paper offers an introductory overview of some methods used for first principle modeling of different structures for the double pendulum. The mathematical models are based on the Euler-Lagrange equations. The basic simulation study is focused on the planar double pendulum. Chaotic and periodic behavior is investigated, together with an influence of the external force. For initial conditions close to zero a periodic motion is observable. This model is further extended to a simplified model of a church bell with a double clapper. The clapper is modeled as a double pendulum with limitation of movement inside the sides of the bell. Periodicity under different initial conditions is investigated.