THE RESPONSE OF A DYNAMIC VIBRATION ABSORBER SYSTEM WITH A PARAMETRICALLY EXCITED PENDULUM

The vibration response of a spring–mass–damper system with a parametrically excited pendulum hinged to the mass is investigated using the harmonic balance method. The approximate results are found to be fairly consistent with those obtained by the numerical calculation. The vibrating regions of the pendulum system are obtained which are similar to those given by Mathieuʹs equation. Based on the analysis of three parameters in the response equation, the characteristics of response of the system are clarified. The stabilities of the harmonic solutions are analyzed, and finally our proposed approximation is verified compared with the numerical results.