ON THE COULOMB VIBRATIONS IN THE PENDULUM MOTION

Abstract

In this paper, the Coulomb vibrations are discussed in order to describe the motion of the double pendulum. The pendulum`s interest is associated to mechanical clocks, the metronomes and seismometers. The linear equivalence method (LEM) formulated by Toma (1995) is applied to define the Coulomb vibration as a particular solution of the nonlinear system of equations that describes the pendulum motion. The general solutions are written as a linear superposition of Coulomb vibrations.