Influence of inerter on the three natural frequencies of the 3-DOF single-layer vibration system

Inerter is widely used in the field of vibration control. In order to study the influence of inerter on the vibration characteristics of the three-degree-of-freedom (3-DOF)single-layer vibration system (SLVS), this paper establishes and analyzes a novel dynamic model considering the translation and two-order torsion of the vibration system. Based on the derived dynamic equations of the 3-DOF SLVS incorporating an inerter, theoretical values of the three natural frequencies are obtained. This paper conducts simulation calculations and experimental verification. Simulation results yield natural frequency values with deviations within 2.5% of the theoretical values. Meanwhile, the experimental system for testing the natural frequency of zero-input response is established, and the natural frequency values are obtained through experimental tests, and the deviations from the theoretical values are within 5%. Furthermore, the accuracy of the new dynamic model is verified. And the influence law of inerter on the vibration characteristics of the 3-DOF SLVS is obtained.