Dynamics of a linear beam with an attached local nonlinear energy sink

Abstract

We provide numerical evidence of passive and broadband targeted energy transfer from a linear flexible beam under shock excitation to a local essentially nonlinear lightweight attachment that acts, in essence, as nonlinear energy sink-NES. It is shown that the NES absorbs shock energy in a one-way, irreversible fashion and dissipates this energy locally, without _spreading_ it back to the linear beam. Moreover, we show numerically that an appropriately designed and placed NES can passively absorb and locally dissipate a major portion of the shock energy of the beam, up to an optimal value of 87%. The implementation of the NES concept to the shock isolation of practical engineering structures and to other applications is discussed.2

Vibration control of a nonlinear beam with a nonlinear energy sink

“…Variations of the NES efficiency with respect to the NES location-comparison with Ref. [8] As it is shown, the results of this work are totally compatible with Ref. [8].…”

“…[8] As it is shown, the results of this work are totally compatible with Ref. [8]. The transient responses of the beam and the NES are depicted, simultaneously, in Fig.…”

“…They also analyzed the dynamics of a linear beam with a nonlinear energy sink [8]. They used the sensitivity analysis to optimize both location and nonlinear stiffness of the NES.…”

Vibration of two beams connected by nonlinear isolators: analytical and experimental study

“…Let the real part and imaginary part on both sides of this equation equal separately, two least square problems can be derived for obtaining k * j and c * j . Then k j and c j can be calculated with (14) and (15).…”

“…Xiong et al, considered the power flow of a rigid equipment-nonlinear isolator-flexible base system and analyzed the effect of isolation parameters by applying harmonic balance method [13]. Georgiades and Vakakis solved the impact response of a linear beam with a local nonlinear energy sink (NES) numerically [14]. Mikhlin and Reshetnikova analyzed the forced response of a beam with a NES by assuming the beam being a mass-spring system [15].…”