Numerical Treatment of Seismic Accelerograms and of Inelastic Seismic Structural Responses Using Harmonic Wavelets

Spanos, Pol D.; Giaralis, Agathoklis; Politis, Nikolaos; Roësset, José M.

doi:10.1111/j.1467-8667.2007.00483.x

Cited by 42 publications

(30 citation statements)

References 20 publications

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“…Arguably, such a consideration is better addressed by means of time-frequency representation techniques (see e.g. Spanos et al 2007a, Spanos et al 2007b and references therein), or by means of adaptive (i.e., time-varying) filter models (see e.g. Ahmadi 1990, Rezaeian andDer Kiureghian 2010) applied to field recorded accelerograms.…”

Section: Discussionmentioning

confidence: 99%

Derivation of response spectrum compatible non-stationary stochastic processes relying on Monte Carlo-based peak factor estimation

Giaralis¹,

Spanos²

2012

Earthquakes and Structures

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Abstract. In this paper a novel non-iterative approach is proposed to address the problem of deriving non-stationary stochastic processes which are compatible in the mean sense with a given (target) response (uniform hazard) spectrum (UHS) as commonly desired in the aseismic structural design regulated by contemporary codes of practice. This is accomplished by solving a standard over-determined minimization problem in conjunction with appropriate median peak factors. These factors are determined by a plethora of reported new Monte Carlo studies which on their own possess considerable stochastic dynamics merit. In the proposed approach, generation and treatment of samples of the processes individually on a deterministic basis is not required as is the case with the various approaches found in the literature addressing the herein considered task. The applicability and usefulness of the approach is demonstrated by furnishing extensive numerical data associated with the elastic design UHS of the current European (EC8) and the Chinese (GB 50011) aseismic code provisions. Purposely, simple and thus attractive from a practical viewpoint, uniformly modulated processes assuming either the Kanai-Tajimi (K-T) or the Clough-Penzien (C-P) spectral form are employed. The Monte Carlo studies yield damping and duration dependent median peak factor spectra, given in a polynomial form, associated with the first passage problem for UHS compatible K-T and C-P uniformly modulated stochastic processes. Hopefully, the herein derived stochastic processes and median peak factor spectra can be used to facilitate the aseismic design of structures regulated by contemporary code provisions in a Monte Carlo simulationbased or stochastic dynamics-based context of analysis.

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Section: Discussionmentioning

confidence: 99%

Derivation of response spectrum compatible non-stationary stochastic processes relying on Monte Carlo-based peak factor estimation

Giaralis¹,

Spanos²

2012

Earthquakes and Structures

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“…In order to scrutinize the variation of the frequency content with respect to time the mean instantaneous frequency is introduced [29, 33,34],…”

Section: Influence Of the Corrective Termmentioning

confidence: 99%

A stochastic approach for generating spectrum compatible fully nonstationary earthquakes

Cacciola

2010

Computers & Structures

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Simulation of artificial earthquakes in agreement with the provision of international seismic codes is addressed. Due to the importance of nonstationary frequency content on the seismic assessment of structures, in this paper a new method for generating spectrum compatible fully nonstationary earthquakes is proposed. The method assumes that the ground motion is modeled by the superposition of two contributions: the first one is a fully nonstationary counterpart modeled by a recorded earthquake; the second one is a corrective random process adjusting the recorded earthquake in order to make it spectrum compatible. Several examples show the accuracy of the proposed method.

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“…Underlying the analytical approximate approach is the attempt to capture the time evolution as well as the essential characteristics of the frequency content of the nonlinear system response. Note that the ability of the technique to provide with time-varying natural frequencies ω eq,i (t) can be of particular importance if seen in conjunction with recent theoretical developments regarding the concept of the mean instantaneous frequency (MIF) (e.g., [33] to [35]). In this regard, ω eq,i (t) together with the MIF of the excitation can be potentially employed for evaluating the effects of temporal non-stationarity in the frequency content of the excitation on the system response as well as for tracking moving resonance phenomena (e.g., [23] and [36]).…”

Section: A 3-dof Hysteretic System Under Evolutionary Stochastic Excimentioning

confidence: 99%

Nonlinear MDOF system Survival Probability Determination Subject to Evolutionary Stochastic Excitation

Mitseas¹,

Kougioumtzoglou²,

Spanos³

et al. 2016

SV-JME

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440 INTRODUCTIONExcitations acting upon dynamical systems such as wind, wave, and seismic loads commonly exhibit evolutionary features. In this setting, not only the intensity of the excitation but also its frequency content exhibit strong variability. This fact necessitates the representation of this class of structural loads by non-stationary stochastic processes. Further, structural systems under severe excitations can exhibit significant nonlinear behavior of the hysteretic kind. Thus, of particular interest to the structural dynamics community is the development of techniques for determining the response and assessing the reliability of nonlinear/hysteretic systems subject to evolutionary stochastic excitations (e.g.,Further, in engineering dynamics, the evaluation of the probability that the system response stays within prescribed limits for a specified time interval is advantageous for reliability based system design applications. In this regard, the first-passage problem, that is, the determination of the above time-variant probability known as survival probability, has been a persistent challenge in the field of stochastic dynamics for many decades.Monte Carlo simulation techniques are among the most potent tools for assessing the reliability of a system (e.g. [4]). Nevertheless, there are cases where the computational cost of these techniques can be prohibitive, especially when large-scale complex systems are considered; thus, rendering the development of alternative efficient approximate analytical/numerical techniques for addressing the first-passage problem necessary. Indicatively, one of the early approaches, restricted to linear systems, relies on the knowledge of the mean up-crossing rates and on Poisson distribution based approximations (e.g., [5] to [7]). Further attempts to address the firstpassage problem range from analytical ones (e.g., [8]) to numerical ones (e.g., [9]

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Numerical Treatment of Seismic Accelerograms and of Inelastic Seismic Structural Responses Using Harmonic Wavelets

Cited by 42 publications

References 20 publications

Derivation of response spectrum compatible non-stationary stochastic processes relying on Monte Carlo-based peak factor estimation

Derivation of response spectrum compatible non-stationary stochastic processes relying on Monte Carlo-based peak factor estimation

A stochastic approach for generating spectrum compatible fully nonstationary earthquakes

Nonlinear MDOF system Survival Probability Determination Subject to Evolutionary Stochastic Excitation

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