Calculation of the Response of a Periodically Excited Beam with Frictional Contact Using Harmonic Balance Method

The response of a beam with dry friction damper to harmonic excitation is investigated. The beam is clamped to a frame at one end. The other end is in frictional contact to a plate. The contact model assumes Coulomb friction law with constant normal force. The Harmonic Balance Method (HBM) is used to calculate the vibrational behavior of the system. The main focus lies on excitation with frequencies well below the first eigenfrequency, for which phases of stick and slip occur in the contact area. It is shown that harmonics of higher order have to be considered when a certain approximation quality is needed. Results of the HBM are compared to those of direct time integration. HBM results converge to the direct time integration solution, when the number of harmonics is increased. Furthermore, the calculations are compared to experimental results.