Characteristic nonlinear system identification of local attachments with clearance nonlinearities

Singh, Aryan; Moore, Kate

doi:10.1007/s11071-020-06004-8

Cited by 26 publications

(6 citation statements)

References 40 publications

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“…In particular, DIC is a class of non-contact methods that acquires images of an object and performs image analysis to extract the full-field shape, deformation, and motion of the object [40,41]. Compared with the PT method, which tracks the motion of a single or discrete set of points, DIC can extract full-field responses [42], and is advantageous when high spatial density is required [43]. In the context of structural dynamics, DIC has already been used to study the slip and separation of jointed interfaces [44,45], and the full-field motions of small-scale and full-size engineering structures [41,46].…”

Section: Introductionmentioning

confidence: 99%

Measurement and identification of the nonlinear dynamics of a jointed structure using full-field data, Part I: Measurement of nonlinear dynamics

Chen

Jana

Singh

et al. 2022

Mechanical Systems and Signal Processing

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Section: Introductionmentioning

confidence: 99%

Measurement and identification of the nonlinear dynamics of a jointed structure using full-field data, Part I: Measurement of nonlinear dynamics

Chen

Jana

Singh

et al. 2022

Mechanical Systems and Signal Processing

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“…The FEPs of Hamiltonian versions of linear systems attached to NESs with odd-power stiffness coupling have been generated in several publications using analytical and numerical methods [1][2][3][4][5][43][44][45][46][47][48]. Similarly, FEPs of linear systems attached to rotating NES were obtained in [22,23] and systems attached to vibro-impact and piecewise NESs in [49][50][51][52][53]. In these sets of publications, fundamental backbone curves of 1:1 inphase and antiphase resonances were obtained.…”

Section: Introductionmentioning

confidence: 99%

Frequency–energy plot and targeted energy transfer analysis of coupled bistable nonlinear energy sink with linear oscillator

AL-Shudeifat

Saeed

2021

Nonlinear Dyn

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The nonlinear energy sink (NES), which is proven to perform rapid and passive targeted energy transfer (TET), has been has been employed for vibration mitigation in many primary small-and large-scale structures. Recently, the feature of bistability, in which two nontrivial stable equilibria and one trivial unstable equilibrium exist, is utilized for passive TET in what is known as Bistable NES (BNES). The BNES generates a nonlinear force that incorporates negative linear and multiple positive or negative nonlinear stiffness components. In this paper, the BNES is coupled to a linear oscillator (LO) where the dynamic behavior of the resulting LO-BNES system is studied through frequency-energy plots (FEPs), which are generated by analytical approximation using the complexification-averaging method and by numerical continuation techniques. The effect of the length and stiffness of the transverse coupling springs is found to affect the stability and topology of the branches and indicates the importance of the exact physical realization of the system. The rich nonlinear dynamical behavior of the LO-BNES system is also highlighted through the appearance of multiple symmetrical and unsymmetrical in-and out of-phase backbone branches, especially at low energy levels. The wavelet transform is imposed into the FEP for variety of initial conditions and damping content and it is found that the FEP has backbone branches at low energy levels associated with the oscillation of the bistable attachments about one of its stable equilibrium positions where passage through the unstable equilibrium position does not occur.

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“…This proposed method was used in [39] to reveal the underlying nonlinear dynamical behaviour of the modal damping content of some linear systems attached to NES. Secondly, a characteristic nonlinear system identification method was proposed and implemented in [40] to identify the dynamics of local nonlinear attachments with clearance nonlinearities. The method only relies on the attachment's measured transient response data, connection points, and measured mass properties.…”

Section: Introductionmentioning

confidence: 99%

Frequency Energy Plots of Dynamical Systems Attached to Piecewise Nonlinear Energy Sink

Shudeifat

Saeed

2021

Preprint

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The frequency-energy plots (FEPs) of two-degree-of-freedom linear structures attached to piecewise nonlinear energy sink (PNES) are generated here and thoroughly investigated. This study provides the FEP analysis of such systems for further understanding of nonlinear targeted energy transfer (TET) by the PNES. The attached PNES incorporates a symmetrical clearance zone of zero stiffness content about its equilibrium position where the boundaries of the zone are coupled with linear structure by linear stiffness elements. In addition, linear viscous damping is selected to be continuous during PNES mass oscillation. The underlying nonlinear dynamical behaviour of the considered structure-PNES systems is investigated by generating the fundamental backbone curves of the FEP and the bifurcated subharmonic resonance branches using numerical continuation methods. Accordingly, interesting dynamical behaviour of the nonlinear normal modes (NNMs) of the structure-PNES system on different backbones and subharmonic resonance branches has been observed. In addition, the imposed wavelet transform frequency spectrums on the FEPs have revealed that the TET takes place where it is dominated by the nonlinear action of the PNES.

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Characteristic nonlinear system identification of local attachments with clearance nonlinearities

Cited by 26 publications

References 40 publications

Measurement and identification of the nonlinear dynamics of a jointed structure using full-field data, Part I: Measurement of nonlinear dynamics

Measurement and identification of the nonlinear dynamics of a jointed structure using full-field data, Part I: Measurement of nonlinear dynamics

Frequency–energy plot and targeted energy transfer analysis of coupled bistable nonlinear energy sink with linear oscillator

Frequency Energy Plots of Dynamical Systems Attached to Piecewise Nonlinear Energy Sink

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