Critical Response of Elastic-Plastic Structures to Near-Fault Ground Motions and Its Application to Base-Isolated Building Structures

Takewaki, Izuru; Taniguchi, Ryo; Kojima, Katsuhiro

doi:10.1007/978-3-319-62099-2_6

Cited by 2 publications

(3 citation statements)

References 34 publications

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“…It was demonstrated that the plastic deformation amplitude in the base-isolation story can be evaluated by the proposed method with reasonable accuracy. It was found in the previous paper (Takewaki et al, 2017) that, when a 2DOF base-isolation building is transformed into an SDOF system and the closed-form solution for the critical elastic-plastic response of an SDOF system is applied to obtain the maximum deformation of the base-isolation story, it is necessary to choose a transformation method based on (i) the rigid super-structure approximation (low and middlerise buildings) and (ii) the ignorance of the base-isolation story mass and series-spring treatment (high-rise buildings), depending on the number of stories of buildings. In contrast, the proposed method using the 2DOF system does not need such selection of the transformation methods and it enables a unified evaluation of the maximum deformation in the base-isolated story regardless of the number of stories.…”

Section: Discussionsupporting

confidence: 53%

“…It can be observed from Figure 14 that the proposed method by using the equivalent 2DOF model and the approximate solution can evaluate the plastic deformation amplitude in the base-isolation story under the critical multiple impulse with reasonable accuracy. The proposed method enables a unified evaluation of the steady-state response in the base-isolation story regardless of the number of stories, although the different procedures depending on the number of stories were necessary in the previous method where the closed-form solution for the SDOF is applied to the base-isolated building (Takewaki et al, 2017).…”

Section: Application Of Approximate Solution To Base-isolated Buildingmentioning

confidence: 99%

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Critical Earthquake Response of 2DOF Elastic-Perfectly Plastic Model Under Multiple Impulse as Substitute for Long-Duration Earthquake Ground Motions

Saotome

Kojima

Takewaki

2019

Front. Built Environ.

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An equi-spaced consecutive impulse input is treated as a simplified representative for a long-duration earthquake ground motion. The key property of such input can be captured approximately by using harmonic waves. An approximate closed-form solution is derived for the elastic-plastic response of a two-degree-of-freedom (2DOF) system under the "critical multiple impulse input" based on some assumptions. The 2DOF system is assumed to consist of an elastic-perfectly plastic restoring-force characteristic in the first story and a linear elastic restoring-force characteristic in the second story. The fact that only the free vibration emerges under such multiple impulse input enables the utilization of the energy approach in the derivation of the explicit expression for a complicated elastic-plastic response. The critical timing of the impulses is found to correspond to the zero restoring-force timing in the first story. The validation and accuracy check of the proposed theory are conducted by implementing the response analysis to the corresponding sinusoidal input as a representative of the long-duration earthquake ground motion. It is also demonstrated that the proposed theory can be applied to a base-isolated building with hysteretic property in the base-isolation story regardless of the number of stories of superstructures.

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Section: Discussionsupporting

confidence: 53%

Section: Application Of Approximate Solution To Base-isolated Buildingmentioning

confidence: 99%

Critical Earthquake Response of 2DOF Elastic-Perfectly Plastic Model Under Multiple Impulse as Substitute for Long-Duration Earthquake Ground Motions

Saotome

Kojima

Takewaki

2019

Front. Built Environ.

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“…It should be pointed out that their approach does not need to solve the equation of motion directly. These theories using double and multi impulses are expanded for the elastic-plastic model with linear viscous damping (Kojima et al., 2017; Hayashi et al., 2018, Akehashi et al., 2018), the elastic-plastic 2DOF model (Taniguchi et al, 2016) and the elastic-plastic base-isolated building model (Fujita et al, 2017; Takewaki et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

Critical response of elastic-plastic SDOF systems with nonlinear viscous damping under simulated earthquake ground motions

Tamura

Kojima

Takewaki

2019

Heliyon

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Multi impulse with constant time interval is used as a representative of a long-duration earthquake ground motion. An analytical expression is derived for the elastic-plastic response of a single-degree-of-freedom (SDOF) model with nonlinear viscous damping subjected to the “critical multi impulse” which maximizes the response. The fact that only free vibration appears under such multi impulse enables the smart application of an energy approach in deriving the analytical expression for a complicated elastic-plastic response with nonlinear viscous damping. The nonlinear viscous damping characteristic for deformation is approximated in terms of a quadratic or elliptical function. The critical timing of the impulses is found to correspond to the zero restoring-force timing or the maximum velocity timing depending on the input level. It is shown that the nonlinearity in viscous damping causes a remarkable influence on the earthquake response in some cases. The reliability and accuracy of the proposed theory are investigated through the comparison with the results by the time-history response analysis to the tuned sine wave as a representative of the long-duration earthquake ground motion.

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Critical Response of Elastic-Plastic Structures to Near-Fault Ground Motions and Its Application to Base-Isolated Building Structures

Cited by 2 publications

References 34 publications

Critical Earthquake Response of 2DOF Elastic-Perfectly Plastic Model Under Multiple Impulse as Substitute for Long-Duration Earthquake Ground Motions

Critical Earthquake Response of 2DOF Elastic-Perfectly Plastic Model Under Multiple Impulse as Substitute for Long-Duration Earthquake Ground Motions

Critical response of elastic-plastic SDOF systems with nonlinear viscous damping under simulated earthquake ground motions

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