Statistical linearization based estimation of the peak response of nonlinear systems subject to the EC8 design spectrum

Spanos, Pol D.; Giaralis, Agathoklis

doi:10.1063/1.2963746

Cited by 2 publications

(4 citation statements)

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“…1. The salient advantage of this approach is that these ELPs depend not only on the properties of the nonlinear systems considered, namely, damping ζ, pre-yield natural frequency ω n , yielding displacement x y , and rigidity ratio α, but also to the specified response spectrum S α (Τ,ζ) [10,11] …”

Section: Peak Nonlinear Response Estimation Using the Effective Lineamentioning

confidence: 99%

“…[7,8]). Herein a recently proposed by the authors [10,11] statistical linearization based approach which is not restricted by the aforementioned limitation is extended to derive ELPs from bilinear hysteretic SDOF systems associated with any given elastic response spectrum. Notably, this is achieved without resorting to computationally demanding integration of the underlying nonlinear equation of motion.…”

Section: Introductionmentioning

confidence: 99%

“…In [10,11] an early statistical linearization formulation [13] assuming Gaussian narrowband response of the considered nonlinear system and relying on stochastic averaging over one period of oscillation has been sought to derive a second order ELS corresponding to a linear SDOF oscillator. Herein, an efficient frequency-domain statistical linearization solution procedure is formulated which replaces the bilinear hysteretic system by a third order linear system [14].…”

Section: Introductionmentioning

confidence: 99%

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Third-order statistical linearization-based approach to derive equivalent linear properties of bilinear hysteretic systems for seismic response spectrum analysis

Spanos

Giaralis

2013

Structural Safety

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Citation: Spanos, P. D. & Giaralis, A. (2013). Third-order statistical linearization-based approach to derive equivalent linear properties of bilinear hysteretic systems for seismic response spectrum analysis. Structural Safety, 44, pp. 59-69. doi: 10.1016Safety, 44, pp. 59-69. doi: 10. /j.strusafe.2012 This is the accepted version of the paper.This version of the publication may differ from the final published version. properties (ELPs), namely damping ratio and natural frequency, for bilinear hysteretic SDOF systems subject to seismic excitation specified by an elastic response/design spectrum. First, an efficient numerical scheme is used to derive a power spectrum satisfying a certain statistical compatibility criterion with the given response spectrum. Next, the thus derived power spectrum is used in conjunction with a frequency domain higher-order statistical linearization formulation to replace the bilinear hysteretic system by a third order linear system by minimizing an appropriate error function in the least square sense. Then, this thirdorder linear system is used to derive a second order linear oscillator possessing a set of ELPs by enforcing equality of certain response statistics of the two linear systems. The thus derived ELPs, are utilized to estimate the peak response of the considered nonlinear system in the context of linear response spectrum-based dynamic analysis. In this manner the need for numerical integration of the nonlinear equation of motion is circumvented. Numerical results pertaining to the European EC8 uniform hazard elastic response spectrum are presented to demonstrate the applicability and the usefulness of the proposed approach. These are further supported by Monte Carlo analyses involving an ensemble of 250 non-stationary artificial EC8 spectrum compatible accelerograms. It is believed that the proposed approach can be an effective tool in the preliminary aseismic design stages of yielding structures following either a force-based or a displacement-based methodology. Permanent

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Section: Peak Nonlinear Response Estimation Using the Effective Lineamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Third-order statistical linearization-based approach to derive equivalent linear properties of bilinear hysteretic systems for seismic response spectrum analysis

Spanos

Giaralis

2013

Structural Safety

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“…}mQD |v=tR |xRwL K} QY |Ov@pwtQi |=ysDU}U |iO=YD |=yV=aDQ= p}rLD |= Q@ 'Q}N= VwQ wO R= xOW? }mQD |OOa VwQ R}v [27] '2019 9 nv=wy w w=S "OvDUy Ot;Q=m Q=}U@ T} RQDU}y w nv}i=O [28]…”

mentioning

confidence: 99%

تخمین بیشینه‌ی پاسخ سیستم‌های غیرخطی تحت اثر طیف طرح حوزه‌ی نزدیک گسل بابه کارگیری روش‌های خطی‌سازی معادل

سلیمی¹,

بایزیدی²,

وکیلی³

et al. 2022

مهندسی عمران

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Statistical linearization based estimation of the peak response of nonlinear systems subject to the EC8 design spectrum

Cited by 2 publications

References 8 publications

Third-order statistical linearization-based approach to derive equivalent linear properties of bilinear hysteretic systems for seismic response spectrum analysis

Third-order statistical linearization-based approach to derive equivalent linear properties of bilinear hysteretic systems for seismic response spectrum analysis

تخمین بیشینه‌ی پاسخ سیستم‌های غیرخطی تحت اثر طیف طرح حوزه‌ی نزدیک گسل بابه کارگیری روش‌های خطی‌سازی معادل

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