Spring-Mass Systems and Inerters

Several single degree-of-freedom systemBase excitationsingle degree-of-freedom system models are created by arranging their viscous dampers and springs in different configurations. These configurations create the Kelvin model, the Maxwell model, various quasi-zero stiffness models, and bio-inspired designs. For several of these configurations, the response to transient and harmonic force and base excitation are obtained. The definitions of the amplitude and phase responsePhase response functions and the transmissibility are given. Two degree-of-freedom systemsBase excitationtwo degree-of-freedom system are presented and discussed in their role of vibration absorberVibration absorber and their frequency–response functions are defined. Single and two degree-of-freedom inerters are presented and the role of the inerter as a vibration absorberVibration absorber is indicated.