Research on a Limited NES with Forced Vibration

Abstract

AbstractFor the application and research of the nonlinear energy sink (NES), the vibration of the NES is generally not restricted. However, the vibration amplitude of the NES may be greatly excited, which is unacceptable in engineering. A limited NES consisting of a conventional NES and a piecewise spring is investigated to restrict the vibration of the NES. The effects of the piecewise stiffness and the gap on the dynamic response of the primary system and the NES are considered in forced vibration. The piecewise function is fitted into a continuous function to obtain the nonlinear vibration responses with harmonic balance method. Then the results are verified wtih the Runge-Kutta method. The results show that the piecewise stiffness has a good performance on limiting the NES. Although the introduction of the piecewise spring will weaken the damping effect of the NES on the primary system, the NES obtain a considerable damping effect with proper parameters. In a word, this work provides a simple and reliable method to restrict the NES, which is beneficial to the design of the NES and broadening the application of the NES in engineering.KeywordsNonlinear energy sinkPiecewise stiffnessGapDamping effect