EQUATIONS DERIVED FROM EQUIVALENT LINEARIZATION METHOD : Consideration based on energy balance and its application to evaluation of probability of excess of deformation capacity

Okano, Hajime; Miyamoto, Yuji

doi:10.3130/aijs.67.45_6

Cited by 17 publications

(14 citation statements)

References 3 publications

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“…However, if the response spectrum of the acceleration, velocity, or displacement is constant, the maximum deformation response of the SDOF system can be estimated without any iterative calculations. Okano et al (2002) simplified the equivalent linearization method and verified its application through nonlinear time history analysis.…”

Section: Equivalent Linearization Methods For the Maximum Deformationmentioning

confidence: 99%

“…The basic assumptions in the equivalent linearization method proposed by Okano et al (2002) are shown in Equations (2) to (4):…”

Section: Equivalent Linearization Methods For the Maximum Deformationmentioning

confidence: 99%

“…where S D is the spectral displacement, c = 1 1.5 /10γ , and α T is the modification factor for the equivalent fundamental period (= 0.82 (Okano et al 2002)). …”

Section: Equivalent Linearization Methods For the Maximum Deformationmentioning

confidence: 99%

“…Although time history analysis is a common method for estimating the maximum deformation response and the hysteretic energy of a structure during an earthquake, it is not efficient for calculating seismic reliability or risk. Therefore, instead of using time history analysis, the equivalent linearization method (Okano et al 2002) and simplified evaluation of seismic energy demand (Manfredi 2001) were utilized to estimate the maximum deformation response and the hysteretic energy, respectively. Moreover, in order to incorporate the uncertainties of ground motion and structural capacity into damage control in this study, the response spectral acceleration, the maximum deformation response, the hysteretic energy, and the limiting value for the allowable damage state were assumed using random variables to calculate the annual reliability index for the controlled damage state.…”

Section: Assessment Of Building Damagementioning

confidence: 99%

“…In the assessment of seismic structural damage for an RC building, the equivalent linearization method (Okano et al 2002) and simplified evaluation of seismic energy demand (Manfredi 2001) were utilized to estimate the maximum deformation response and the hysteretic energy, respectively. Additionally, regarding the damage control aspect of this study, the uncertainties of ground motion and structural capacity were simulated to calculate the annual reliability index for a specified damage state.…”

Section: Introductionmentioning

confidence: 99%

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Evaluating Procedure of Optimal Seismic Retrofit Level for a Low-Rise Reinforced Concrete Building

Chiu

Jean

2011

ACT

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This study proposes an estimating procedure that can be used to set the optimal seismic level in the seismic retrofit design for a low-rise reinforced concrete (RC) building. Along with damage control, the cost of maintenance over the remaining service life is also considered in the estimating procedure. However, when a seismic retrofit level defined by the ground acceleration corresponding to the ultimate deformation of the single degree of freedom (SDOF) system for a selected building is specified, several seismic retrofit methods can be used to achieve the specified seismic retrofit level. Since their respective maintenance costs differ, the average value of the annual costs of maintenance for a specified seismic retrofit level was adopted. Under the condition that the average value of the annual reliability indices of a seismic retrofit level for a specified damage state needs to be equal to or greater than the allowable annual reliability index, the seismic retrofit level corresponding to the minimal value is regarded as the optimal level. Finally, a case study was used to discuss the application of the estimating procedure for the optimal seismic retrofit level proposed here. In addition, combinations of the upgrading rates in yielding acceleration and the ductility capacity of the SDOF system are also suggested to the designer of the retrofit for the selected building.

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Section: Equivalent Linearization Methods For the Maximum Deformationmentioning

confidence: 99%

“…The basic assumptions in the equivalent linearization method proposed by Okano et al (2002) are shown in Equations (2) to (4):…”

Section: Equivalent Linearization Methods For the Maximum Deformationmentioning

confidence: 99%

“…where S D is the spectral displacement, c = 1 1.5 /10γ , and α T is the modification factor for the equivalent fundamental period (= 0.82 (Okano et al 2002)). …”

Section: Equivalent Linearization Methods For the Maximum Deformationmentioning

confidence: 99%

Section: Assessment Of Building Damagementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Evaluating Procedure of Optimal Seismic Retrofit Level for a Low-Rise Reinforced Concrete Building

Chiu

Jean

2011

ACT

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Methodology to evaluate the collapse limit state of R/C frames based on the seismic response spectrum

Matsukawa

Maeda

2018

Japan Architectural Review

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This study proposes a method to evaluate the collapse limit displacement of reinforced concrete buildings based on the seismic response spectrum as a more practical alternative to previous methods based on dynamic analysis. The collapse limit displacement estimated by the proposed method is compared to that obtained by dynamic analysis‐based methods using artificial and observed ground motions. The results of the proposed method correspond well to the dynamic analysis results. However, models with a natural vibration period of 0.2 s exhibited a large dispersion in the results.

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Reliability-Based Constant-Damage Ductility Demand Spectra of Mid-Rise RC Building Structures Using Modified Equivalent Linearization Method

Nugroho

Chiu

Hsiao

et al. 2020

Lecture Notes in Civil Engineering

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EQUATIONS DERIVED FROM EQUIVALENT LINEARIZATION METHOD : Consideration based on energy balance and its application to evaluation of probability of excess of deformation capacity

Cited by 17 publications

References 3 publications

Evaluating Procedure of Optimal Seismic Retrofit Level for a Low-Rise Reinforced Concrete Building

Evaluating Procedure of Optimal Seismic Retrofit Level for a Low-Rise Reinforced Concrete Building

Methodology to evaluate the collapse limit state of R/C frames based on the seismic response spectrum

Reliability-Based Constant-Damage Ductility Demand Spectra of Mid-Rise RC Building Structures Using Modified Equivalent Linearization Method

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