Review on research progress of nonlinear vibration isolation and time-delayed suppression method

Vibration problem is closely related to human daily life and the development of science and technology. Undersigned vibration would affect human health, also cause the failure of buildings, mechanical equipment and precision instruments. In the fields of aerospace, automotive engineering, marine engineering, large structure and precision instrument processing, elastic components or control devices are utilized to form effective vibration isolation environment. Effective vibration isolation can improve the safety, stability, controllability and comfort of human and equipment. However, the design method based on linear theory appears irreconcilable contradiction for applications. The stiffness of the vibration isolation structure reduces for wider band for vibration isolation, which results the decrease of loading capacity. In this paper, the high-static-low-dynamic design methods of nonlinear vibration isolators are reviewed in detail. Based on the dynamic modeling and analysis of nonlinearity induced by different mechanisms, the quasi-zero stiffness design criteria are presented, which provides the selection principle of the kind of isolator in aerospace, precision machining, automobile and ship. Then, attentions are paid on the design methods of bionics and metastructure for vibration suppression, which causes new problems and challenges in the explanation on mechanical bionic mechanism and regulation on the nonlinear restoring force constitutive. The studies on new methods, strategies and experimental techniques are introduced. Finally, faced to the development of lightweight and flexibility of structures, the vibration isolation effect is limited by the flexibility of parts. Even through coupling multi-layer quasi-zero-stiffness structures are assembled, it is difficult to realize the rapid positioning of the isolated structure in space. Considering the amplitude and frequency modulation by time delay, different design methods of vibration suppression with time delay are proposed. Successful cases of time-delayed suppression of flexible low-frequency vibration are given, which provides a possibility for effective, simple and rapid active vibration isolation and vibration elimination under extreme working conditions. In the future, based on the new analysis method according to data-driven, the nonlinear vibration isolation and suppression technology would realize more accurate and intelligent control effect in complex working conditions. © 2023 Advances in Mechanics.