This paper presents a novel nonlinear anti-vibration compliant mechanism with inertia amplification (NAVCM-IA) for low frequency vibration isolation. This compliant mechanism consists of three-dimensional helical rods with stiffness nonlinearities, and an attached horizontally-installed inertia disc which performs as an inertia amplification. With this unique design, beneficial nonlinear stiffness can be achieved, which reduce the dynamic stiffness at equilibrium position and improve the vibration isolation performance at low frequency range. Moreover, the inertia amplification driven by the compliant mechanism achieves an apparent high dynamic mass and, accordingly, a low resonance frequency. The nonlinear compliant mechanism with inertia amplification is validated by experimental prototypes for their special nonlinear features. The proposed NAVCM-IA is a unique passive and adjustable low frequency anti-vibration solution in extensive engineering applications.

This paper presents a novel nonlinear anti-vibration ring with deformable crescent-shaped cross-sections (NAVR-DCCS) inspired by the petiole of palm leaf. The proposed NAVR-DCCS exhibits markedly enhanced nonlinear quasi-zero stiffness through deformable cross-sections, which endow it with advantageous vibration isolation attributes. A comprehensive investigation of the structural nonlinearities and dynamic behaviors of the NAVR-DCCS is undertaken, with emphasis on the principle of cross-sectional deformation and its nonlinear stiffness properties. This study explores the influence of pertinent parameters on the nonlinear characteristics and displacement transmissibility. Tensile-compression testing and transmissibility measurements are conducted to verify theoretical calculations, and the experimental results are found to be in congruity with theoretical predictions. The beneficial nonlinear characteristics of the NAVR-DCCS hold promise for providing a passive vibration isolation methodology, representing a potentially innovative solution with broad-reaching applicability and utility across diverse research domains.