Time-duration extended Hilbert transform superposition for the reliable time domain analysis of five-layered damped sandwich beams

Bae, S.H.; Cho, Jong-Rae; Jeong, Weui-Bong

doi:10.1016/j.finel.2014.06.007

Cited by 3 publications

(2 citation statements)

References 14 publications

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“…Specifically, Bae et al 52 showed that the Hilbert transform of the external impulse signal using the discrete Fourier transform (FT) and inverse Fourier transform (IFT) produces a totally different result compared with the one obtained from its exact formula. Not only this, Bae et al 53 also showed that the Hilbert transform of a signal may produce a nonzero value at the beginning of the signal although its original real signal has zero value at time zero. To solve these problems, Bae et al 52,53 introduced a technique called discrete convolution Hilbert transform (DCHT) and extended-time-duration using a Newton-Raphson iteration method.…”

Section: Time Domain Modellingmentioning

confidence: 99%

“…Not only this, Bae et al 53 also showed that the Hilbert transform of a signal may produce a nonzero value at the beginning of the signal although its original real signal has zero value at time zero. To solve these problems, Bae et al 52,53 introduced a technique called discrete convolution Hilbert transform (DCHT) and extended-time-duration using a Newton-Raphson iteration method. In the DCHT technique, the external amplitude of the force signal is divided into a finite number of rectangular signals.…”

Section: Time Domain Modellingmentioning

confidence: 99%

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Tuned inerter dampers with linear hysteretic damping

Deastra

Wagg

Sims

et al. 2020

Earthq Engng Struct Dyn

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Summary This paper explores the influence of linear hysteretic damping on the performance of passive tuned‐inerter devices. An inerter is a device that produces a force proportional to the relative acceleration across its two terminals; devices incorporating inerters have received widespread attention in the earthquake engineering community, because they offer the ability to improve the seismic response of structures. However, the majority of this research has assumed that the damping components within the tuned‐inerter device exhibit viscous, rather than hysteretic, damping. This restriction imposes an essential question on how the hysteretic damping model will change the performance of the device compared with the viscous damping model. It is shown that the response of viscous and hysteretic inerter systems have significant differences in displacement amplitude due to the frequency dependency of the damping. Therefore, a new formulation for obtaining the optimum loss factor of the hysteretic damping in the inerter system is proposed. Next, the challenges associated with accurately predicting the time‐response of a hysteretically damped system are discussed. A numerical time‐integration method is extended to address these challenges, using a new formulation that has the benefit of being broadly applicable to multidegree‐of‐freedom hysteretic linear systems and nonstationary random signals. The results show that the earthquake responses from the hysteretic damping model can differ significantly from the ones obtained via the viscous model.

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