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Multi-pulse decomposition for nonlinear seismic analysis of structural systems

Multi-pulse decomposition for nonlinear seismic analysis of structural systems
Multi-pulse decomposition for nonlinear seismic analysis of structural systems
Large sympathetic, resonance-like, structural behaviour to earthquake excitations with analogous frequency content often plays a critical role in determining its maximum seismic response. Earthquake excitation typically contains a broad spectrum of non-stationary frequency content, wave packets, which are difficult to observe from the recorded time series. Therefore, identifying the root cause of large responses (which act sympathically with the input but do not achieve full-resonance) of a structure is problematic. Hence, this paper proposes a new multi-pulse decomposition method of ground motions, through which components of a ground motion within a specific period range are determined. In this method, a ground motion is approximated with a Gauss-Fourier wave packet series. The decomposed components, wave packets, contain information about its time-position, frequency, amplitude, pulse width and phase angle. Unlike the Ricker (Morlet) wavelet the Gauss-Fourier wave packet is not limited to symmetrical pulses. One ensemble of 40 near-fault ground motions and one ensemble of 44 far-fault ground motions are used to demonstrate the application and efficiency of the proposed method. The method is shown to be precise in reconstructing the original ground motion using its decomposed components. It is also concluded that the method is accurate in replication of elastic and inelastic response spectra of ground motions within a specific period range. It is demonstrated that for some structure/ground motion combinations, only a few Gauss-Fourier components are required to faithfully describe response behaviour. This highlights that, for these systems, most of the recorded earthquake time series acts like noise on a much simpler wave-packet signal.
Ground motion decomposition, Ground motion reconstruction, Gaussian-fourier series, Gabor wavelet, Dominant components, Elastic and inelastic response spectra regeneration, Genetic algorithm
0267-7261
Ahmadi, Ehsan
f1994ae0-2b3e-43c9-a595-032e801aae70
Salami, Mohammad Reza
db0a471b-65d9-45d6-973b-ae10a3e4febd
De Risi, Raffaele
27e0eae9-9fe6-4162-a991-24badb2e5384
Kashani, Mohammad
d1074b3a-5853-4eb5-a4ef-7d741b1c025d
Alexander, Nicholas
1427c28c-d5ed-4b3f-a40d-6a4c6be67c6b
Ahmadi, Ehsan
f1994ae0-2b3e-43c9-a595-032e801aae70
Salami, Mohammad Reza
db0a471b-65d9-45d6-973b-ae10a3e4febd
De Risi, Raffaele
27e0eae9-9fe6-4162-a991-24badb2e5384
Kashani, Mohammad
d1074b3a-5853-4eb5-a4ef-7d741b1c025d
Alexander, Nicholas
1427c28c-d5ed-4b3f-a40d-6a4c6be67c6b

Ahmadi, Ehsan, Salami, Mohammad Reza, De Risi, Raffaele, Kashani, Mohammad and Alexander, Nicholas (2022) Multi-pulse decomposition for nonlinear seismic analysis of structural systems. Soil Dynamics and Earthquake Engineering, 163, [107531]. (doi:10.1016/j.soildyn.2022.107531).

Record type: Article

Abstract

Large sympathetic, resonance-like, structural behaviour to earthquake excitations with analogous frequency content often plays a critical role in determining its maximum seismic response. Earthquake excitation typically contains a broad spectrum of non-stationary frequency content, wave packets, which are difficult to observe from the recorded time series. Therefore, identifying the root cause of large responses (which act sympathically with the input but do not achieve full-resonance) of a structure is problematic. Hence, this paper proposes a new multi-pulse decomposition method of ground motions, through which components of a ground motion within a specific period range are determined. In this method, a ground motion is approximated with a Gauss-Fourier wave packet series. The decomposed components, wave packets, contain information about its time-position, frequency, amplitude, pulse width and phase angle. Unlike the Ricker (Morlet) wavelet the Gauss-Fourier wave packet is not limited to symmetrical pulses. One ensemble of 40 near-fault ground motions and one ensemble of 44 far-fault ground motions are used to demonstrate the application and efficiency of the proposed method. The method is shown to be precise in reconstructing the original ground motion using its decomposed components. It is also concluded that the method is accurate in replication of elastic and inelastic response spectra of ground motions within a specific period range. It is demonstrated that for some structure/ground motion combinations, only a few Gauss-Fourier components are required to faithfully describe response behaviour. This highlights that, for these systems, most of the recorded earthquake time series acts like noise on a much simpler wave-packet signal.

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Ahmadi et al_Accepted Manuscript - Accepted Manuscript
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Accepted/In Press date: 1 September 2022
e-pub ahead of print date: 14 September 2022
Keywords: Ground motion decomposition, Ground motion reconstruction, Gaussian-fourier series, Gabor wavelet, Dominant components, Elastic and inelastic response spectra regeneration, Genetic algorithm

Identifiers

Local EPrints ID: 470649
URI: http://eprints.soton.ac.uk/id/eprint/470649
ISSN: 0267-7261
PURE UUID: 430585e8-e350-4a54-abb6-e18e4128832d
ORCID for Mohammad Kashani: ORCID iD orcid.org/0000-0003-0008-0007

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Date deposited: 17 Oct 2022 16:41
Last modified: 18 Oct 2022 01:50

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Contributors

Author: Ehsan Ahmadi
Author: Mohammad Reza Salami
Author: Raffaele De Risi
Author: Nicholas Alexander

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