A Non-Traditional Inerter-Based Dynamic Vibration Absorber with Negative Stiffness: Electromechanical Analogies and Optimal Design

This paper proposes a non-traditional inerter-based dynamic vibration absorber with negative stiffness (NSIDVA). Its optimal design is determined based on two widely used calibration strategies: the extended fixed-points technique and the stability maximization criterion, each suited respectively to harmonic and transient excitation. The superior performance of the proposed NSIDVA is demonstrated through a comparison with the non-traditional dynamic vibration absorber (DVA) and inerter-based DVA, revealing the benefits of incorporating negative stiffness into mechanical vibration absorbers for enhancing vibration attenuation in both steady-state and transient regimes. Finally, this paper establishes complete electromechanical analogies between piezoelectric shunt dampers and mechanical vibration absorbers (including the proposed NSIDVA), based on which high-performance mechanical vibration absorbers can be realized piezoelectrically, thereby facilitating their implementation in lightweight, space-restricted circumstances.