Abstract
A novel quasi-zero stiffness nonlinear magnetic isolator is designed by using magnetic springs in parallel with linear positive stiffness spring. Through the static analysis, the mathematical expressions of force-displacement-current and stiffness-displacement-current of the system are established, and the necessary conditions for the normal function and geometric parameters of the system are obtained. The nonlinear dynamic equations of the system under external excitation force are established. The amplitude and frequency characteristics of the system are deduced by harmonic balance method. The influence of system parameters and external excitation amplitude on the dynamic characteristics of the system is analyzed. Results showed that the vibration of the system can be controlled by controlling the electromagnet current or increasing the damping coefficient while the external excitation amplitude is kept in a certain of range. The researches provided a theoretical guidance for the design and application of the new quasi-zero stiffness nonlinear magnetic isolation system.
Highlights
At present, low frequency vibration isolation is a major research hotspot and challengeable problem in vibration engineering field
The quasi-zero stiffness (QZS) vibration isolators are usually realized by connecting a positive-stiffness mechanism with a negative-stiffness mechanism
Carrella et al [7] designed a vibration isolation system consisting of three springs, obtained the nonlinear force transfer characteristics of the vibration isolation system, and explained the concept of high static stiffness and low dynamic stiffness
Summary
Low frequency vibration isolation is a major research hotspot and challengeable problem in vibration engineering field. The QZS isolator can achieve ultra-low stiffness, zero stiffness, or negative stiffness characteristics [3, 4] by designing the appropriate structural parameters. When an appropriate mass is loaded on the isolator, the springs begin to compress until the oblique springs reach the equilibrium position At this point, the dynamic stiffness is zero if the system parameters are appropriate. Carrella et al [7] designed a vibration isolation system consisting of three springs, obtained the nonlinear force transfer characteristics of the vibration isolation system, and explained the concept of high static stiffness and low dynamic stiffness. Kovacic et al [8,9,10] optimized the structural parameters of the three-spring quasi-zero stiffness isolator and studied its bifurcation characteristics. The influence of system parameters and external excitation amplitude on the dynamic characteristics of the system is analyzed
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