An Analysis of a Friction Damped System Using Two Component Mode Methods

Abstract

Abstract Herein, two component mode methods are employed to investigate the forced dynamics of a cantilevered beam with an attached flexible friction damper. The first, traditional modal analysis, uses the free vibration modes of the unconstrained beam, while the second, a component mode synthesis approach, uses an alternative set of modes which confines the friction non-linearity to a single component mode. The convergence and efficiency of the two methods are compared for a particular case, and the component mode synthesis approach is found to converge at least as fast as, and usually faster than, the traditional modal analysis approach. Further analysis of the beam system is conducted and discussed using the component mode synthesis formulation.