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Front. Built Environ. | doi: 10.3389/fbuil.2018.00005

Critical Response of SDOF Damped Bilinear Hysteretic System under Double Impulse as Substitute for Near-fault Ground Motion

  • 1Dept of Architecture and Architectural Engineering, Kyoto University, Japan

A double impulse input is used as a substitute for near-fault earthquake ground motions. A closed-form expression is derived in the maximum elastic-plastic response of a single-degree-of-freedom (SDOF) damped structure with bilinear hysteresis under the ‘critical double impulse input’ which causes the maximum response for variable impulse interval with the input level kept constant. Since only the free-vibration exists under the double impulse, the energy balance approach for the kinetic energy, hysteretic and strain energies, and damping energy plays a key role in the derivation of the closed-form expression of a complicated damped bilinear hysteretic response. It is shown that the critical elastic-plastic deformation and the corresponding critical impulse timing can be derived depending on the input level. The accuracy of the proposed simplified but smart methodology is confirmed through the comparison with the response analysis to the critical double impulse and the corresponding one-cycle sine wave as a representative for the near-fault earthquake ground motion.

Keywords: Earthquake Response, Critical excitation, Critical response, Elastic-plastic response, Bilinear hysteresis, Near-fault ground motion, resonance

Received: 13 Dec 2017; Accepted: 17 Jan 2018.

Edited by:

Nikos D. Lagaros, National Technical University of Athens, Greece

Reviewed by:

Fabrizio Mollaioli, Sapienza Università di Roma, Italy
Claudia Casapulla, University of Naples Federico II, Italy  

Copyright: © 2018 Akehashi, Kojima and Takewaki. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Prof. Izuru Takewaki, Kyoto University, Dept of Architecture and Architectural Engineering, Kyotodaigaku-Katsura, Nishikyo-ku, Kyoto, 615-8540, Japan,