Non‐stationary spectral moments of base excited MDOF systems

Borino, Guido; Paola, Mario Di; Muscolino, G.

doi:10.1002/eqe.4290160509

Cited by 15 publications

(4 citation statements)

References 14 publications

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“…is consideration, which has originally been suggested by Borino et al [31], is not exactly correct when referring to the first time derivative of the envelope, as Shock and Vibration illustrated in Figures 5 and 6. In these two gures, it can be observed that some discrepancies exist between the approximate and exact nonstationary solutions, and they increase as the damping ratio diminishes.…”

Section: Numerical Resultsmentioning

confidence: 94%

Nonstationary First Threshold Crossing Reliability for Linear System Excited by Modulated Gaussian Process

Greco

Marano

Fiore

et al. 2018

Shock and Vibration

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A widely used approach for the first crossing reliability evaluation of structures subject to nonstationary Gaussian random input is represented by the direct extension to the nonstationary case of the solution based on the qualified envelope, originally proposed for stationary cases. The most convenient way to approach this evaluation relies on working in the time domain, where a common assumption used is to adopt the modulation of stationary envelope process instead of the envelope of modulated stationary one, by utilizing the so-called “preenvelope” process. The described assumption is demonstrated in this work, also showing that such assumption can induce some errors in the envelope mean crossing rate.

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Section: Numerical Resultsmentioning

confidence: 94%

Nonstationary First Threshold Crossing Reliability for Linear System Excited by Modulated Gaussian Process

Greco

Marano

Fiore

et al. 2018

Shock and Vibration

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“…In many cases of engineering interest the probabilistic assessment of structural failure is derived as a function of barrier crossing rates, distribution of peaks and extreme values. These quantities can be evaluated as a function of the so-called Non-Geometric Spectral Moments (NGSMs) [12,13,14] for non-stationary stochastic processes.…”

Section: Explicit Solutions For the Ngsmsmentioning

confidence: 99%

“…Unfortunately, the solution of this problem has not been derived in exact form, even in the simplest case of the stationary response of a Single-Degree-of-Freedom (SDoF) linear oscillator under zero mean Gaussian white noise. In the framework of approximate methods, for zero-mean Gaussian non-stationary input, the evaluation of the so-called Non-Geometric Spectral Moments (NGSMs) is required [12][13][14][15][16]. Therefore the j-th NGSMs, , () ii uu t , is a complex quantity whose real part can be evaluated as the cross-covariance between the response process and the response velocity process of the same linear system subjected to a non-stationary input whose stationary counterpart is proportional to its Hilbert transform.…”

Section: Explicit Solutions For the Ngsmsmentioning

confidence: 99%

Response Statistics of Structural Systems Subjected to Fully Non-Stationary Spectrum Compatible Excitation

Alderucci¹,

Muscolino²

2015

Proceedings of the 1st International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECO

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The probabilistic analysis of structural systems subjected to seismic excitations requires the spectral characterization of both the input excitation and the structural response; in order to reproduce the typical characteristics of real earthquakes ground-motion time history, the seismic excitation should be modelled as a non-stationary stochastic process. Once the characterization of the ground motion acceleration is done, it is possible to analyze the safety of structural systems subjected to those excitations; in particular, the largest absolute value peak of stochastic response is a useful design information. In order to define the statistics of the maximum of the stochastic response of structures, it is necessary to evaluate the Non-Geometric Spectral Moments (NGSMs).In this paper the fully non-stationary spectrum compatible model has been adopted to define the ground motion acceleration process. Then the evaluation of the NGSMs is performed. The main steps of the proposed approach are: i) the study of a set of real earthquakes to catch their most important features; ii) the introduction of the fully non-stationary spectrum compatible process; iii) the definition of the NGSMs, in the time domain; iv) the evaluation of the mean frequency; v) the validation with the Monte Carlo Simulation. 305

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“…The amplitude non-stationarity has been tackled in studying the response of single-degree-of-freedom (SDOF) and MDOF systems mostly by modelling the input as a uniformly modulated stationary process. Some of the popular amplitude modulating functions, also referred to in the literature as 'strength function', used for this purpose include step function by Caughey and Stumpf, 1 6 exponentially decaying function by Corotis and Marshall, 7 To, 8 and Borino et al, 9 and piecewise linear functions by Gasparini and DebChaudhury. 10 Several other researchers, e.g.…”

Section: Introductionmentioning

confidence: 99%

Non-stationary seismic response of MDOF systems by wavelet transform

Basu

Gupta

1997

Earthquake Engng. Struct. Dyn.

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SUMMARYA wavelet-based formulation has been presented in this paper for the stochastic analysis of a linear multi-degree-of-freedom (MDOF) classically damped system subjected to earthquake ground motion. The ground motion has been modelled as a non-stationary process (both in amplitude and frequency) using wavelets. Closed-form expressions of the moments of the instantaneous Power Spectral Density Function (PSDF) of the response have been derived and used to predict the statistics of the response peak of any desired order. For illustration of the formulation, an example torsionally coupled multistoried building has been considered along with the twenty synthetically generated time-histories corresponding to an example ground motion process.

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Non‐stationary spectral moments of base excited MDOF systems

Cited by 15 publications

References 14 publications

Nonstationary First Threshold Crossing Reliability for Linear System Excited by Modulated Gaussian Process

Nonstationary First Threshold Crossing Reliability for Linear System Excited by Modulated Gaussian Process

Response Statistics of Structural Systems Subjected to Fully Non-Stationary Spectrum Compatible Excitation

Non-stationary seismic response of MDOF systems by wavelet transform

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