Inelastic Deformation Ratios for Design and Evaluation of Structures: Single-Degree-of-Freedom Bilinear Systems

Chopra, Anil K.; Chintanapakdee, Chatpan

doi:10.1061/(asce)0733-9445(2004)130:9(1309)

Cited by 265 publications

(188 citation statements)

References 14 publications

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“…In both cases comprehensive Monte Carlo analyses involving numerical integration of the nonlinear equations governing the motion of the hysteretic systems exposed to ensembles of field recorded seismic accelerograms are required (e.g. [4,5]). …”

Section: Introductionmentioning

confidence: 99%

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: Introductionmentioning

confidence: 99%

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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“…The method aims on the generation of a multiplication coefficient, the so-called inelastic displacement ratio, which is used to modify the maximum response of the elastic SDOF system (Ruiz-Garcia and Miranda 2003; Chopra and Chintanapakdee 2004;and references reported therein) in an effort to estimate the response of the inelastic system with some pre-yielding period.…”

Section: Introductionmentioning

confidence: 99%

Dimensional Response Analysis of Bilinear Systems Subjected to Non-pulselike Earthquake Ground Motions

2011

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The maximum inelastic response of bilinear single-degree-of-freedom systems when subjected to ground motions without distinguishable pulses is revisited with dimensional analysis by identifying time scales and length scales in the time histories of recorded ground motions. The characteristic length scale is used to normalize the peak inelastic displacement of the bilinear system. The paper adopts the mean period of the Fourier transform of the ground motion as an appropriate time scale and examines two different length scales which result from the peak ground acceleration and the peak ground velocity. When the normalized peak inelastic displacement is presented as a function of the normalized strength and normalized yield displacement, the response becomes self similar and a clear pattern emerges. Accordingly, the paper proposes two alternative predictive master curves for the response which involve solely the strength and yield displacement of the bilinear SDOF system in association with either the peak ground acceleration or the peak ground velocity, together with the mean period of the Fourier transform of the ground motion. The regression coefficients that control the shape of the predictive master curves are based on 484 ground motions recorded at rock and stiff soil sites and are applicable to bilinear SDOF systems with post-yield stiffness ratio equal to 2% and inherent viscous damping ratio equal to 5%.

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“…These motions were selected from the PEER (Pacific Earthquake Engineering Research Center) Strong Motion Database. More details about this database can be found elsewhere (Chopra et al, 2003). These values were used for both horizontal directions of ground motion in the proposed procedure in order to be able to compare its results with those obtained by NL-THA.…”

Section: Ground Motion Recordsmentioning

confidence: 99%

“…After, the modal pushover analysis undergoes changes by Chopra et al (2004), for which an extension of this analysis was developed under the name (Modified Modal Pushover Analysis, MMPA) that combines the elastic influence of higher modes with inelastic response of the first mode using several combinations such as the Square Roof of the Sum of Squares (SRSS). In this paper, we first present the development of a new method based on ductility demand response spectrum (Benazouz et al, 2012) for the evaluation of seismic demands of MDOF systems.…”

Section: Introductionmentioning

confidence: 99%

An approximate procedure for estimating seismic demands for buildings

Chikh¹,

Leblouba

Mehani³

et al. 2017

MATEC Web Conf.

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Abstract. Methods of the estimation of the seismic demands of nonlinear structures require a sort of iterative procedures, no matter the elastic or inelastic response spectra are used in the procedure. Many studies dealt with the development of different inelastic spectra with the aim to simplify the evaluation of inelastic deformations and performance of structures. Recently, the concept of inelastic spectra has been adopted in the global scheme of the performance-based seismic design through capacityspectrum methods (CSM).For instance, the modal pushover analysis (MPA) has been proved to provide accurate results for inelastic buildings to a similar degree of accuracy to the response spectrum analysis (RSA) in estimating peak response for elastic buildings. In this paper, a simplified nonlinear spectral analysis is made to the original MPA is proposed. The proposed procedure, which is applicable to multi-degree-of-freedom MDOF systems uses an inelastic spectrum and gives peak responses consistent with those obtained when using the nonlinear time history analysis (NL-RHA).The accuracy of the proposed procedure is verified against the nonlinear time history analysis results of two buildings. The comparison showed that the new method is capable to provide accurate peak response.

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Inelastic Deformation Ratios for Design and Evaluation of Structures: Single-Degree-of-Freedom Bilinear Systems

Cited by 265 publications

References 14 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

Dimensional Response Analysis of Bilinear Systems Subjected to Non-pulselike Earthquake Ground Motions

An approximate procedure for estimating seismic demands for buildings

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