抄録
In the present paper, the frictional vibrations in a mechanical system are studied theoretically using an average method when the friction-velocity characteristic curves are given by several types of function. The steady-state vibrations, or limit cycles, obtained from the average method are compared with the corresponding approximate motions regarded as the positively exact solutions, which are obtained from the piecewise linear system with the friction-velocity characteristic curves approximated by a polygon having numerous segments. Moreover, the effectiveness of the use of the average method in the theoretical analysis of frictional vibrations is shown in three types of friction-velocity functions when the nonlinearities in the system are not too large. Lastly, an easily revisable method is offered in which almost exact solutions can be obtained by modifying the solved curves estimated from the average method.
