Evaluation of approximate methods to estimate maximum inelastic displacement demands

Miranda, Eduardo; Ruiz‐García, Jorge

doi:10.1002/eqe.143

Cited by 222 publications

(125 citation statements)

References 16 publications

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“…The "performance point" of the structure is estimated from the intersection of the pushover curve with the damping-reduced ADRS curve. The CSM, as presented in ATC-40 [17], has come under considerable scrutiny due to inconsistent displacement predictions [18,19]. Such errors have proved to be rectified by use of either the inelastic spectra or a modified CSM as described by Iwan [20].…”

Section: Rapid Ida-eal Methodologymentioning

confidence: 99%

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Computational and rapid expected annual loss estimation methodologies for structures

Solberg

Dhakal

Mander

et al. 2007

Earthq Engng Struct Dyn

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SUMMARYExpected annual loss (EAL), which can be expressed in dollars, is an effective way of communicating the seismic vulnerability of constructed facilities to owners and insurers. A simplified method for estimating EAL without conducting time consuming non-linear dynamic analyses is presented. Relationships between intensity measures and engineering demand parameters resulting from a pushover analysis and a modified capacity-spectrum method are combined with epistemic and aleatory uncertainties to arrive at a probabilistic demand model.Damage measures are established to determine thresholds for damage states from which loss ratios can be defined. Financial implications due to damage can then be quantified in the form of EAL by integrating total losses for all likely earthquake scenarios. This rapid loss estimation method is verified through the computationally intensive Incremental Dynamic Analysis, with results processed using a distribution-free methodology. To illustrate the application of the proposed method, the seismic vulnerability of two highway bridge piers is compared; one bridge is traditionally designed for ductility while the other is based on an emerging damage avoidance design (DAD) philosophy. The DAD pier is found to have a clear advantage over the conventional pier; the EAL of the DAD pier is less than 20 percent of its ductile counterpart. This is shown to be primarily due to its inherent damage-free behaviour for small to medium earthquake intensities, whose contribution to EAL is significantly more than that of very rare events.2

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Section: Rapid Ida-eal Methodologymentioning

confidence: 99%

“…when f a > 0.01 (T < 100 years). In such cases, Equation (19) overestimates the hazard. This deficiency can be rectified by disregarding any damage below a certain threshold.…”

Section: Step 5: Define a Seismic Hazard-recurrence Relationshipmentioning

confidence: 99%

Computational and rapid expected annual loss estimation methodologies for structures

Solberg

Dhakal

Mander

et al. 2007

Earthq Engng Struct Dyn

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“…[6][7][8][9] and references therein). These techniques approximate the peak inelastic response by considering the peak response of an equivalent linear SDOF oscillator (ELS) characterized by effective linear properties (ELPs), that is, damping ratio and natural frequency.…”

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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“…A comparison between the displacement ratios for peak-oriented and bilinear models was presented by Miranda and Ruiz-Garcia (2002a). In addition, Miranda and Ruiz-Garcia (2002b) evaluated six different methods for predicting maximum inelastic displacements.…”

Section: Introductionmentioning

confidence: 99%

Inelastic Displacement Ratios of Degrading Systems

Chenouda

Ayoub

2008

J. Struct. Eng.

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This is the accepted version of the paper.This version of the publication may differ from the final published version. analysis of different structural systems subjected to a large ensemble of recent earthquake records. The results were used to propose approximate methods for estimating maximum inelastic displacements of degrading systems for use in performance-based seismic code provisions. The findings provide necessary information for the design evaluation phase of a performance-based earthquake design process, and could be used for evaluation and modification of existing seismic codes of practice. Permanent repository link

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Evaluation of approximate methods to estimate maximum inelastic displacement demands

Cited by 222 publications

References 16 publications

Computational and rapid expected annual loss estimation methodologies for structures

Computational and rapid expected annual loss estimation methodologies for structures

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

Inelastic Displacement Ratios of Degrading Systems

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