Taniguchi, et al. [1] developed an analytical method for evaluating the absolute maximum elasto-plastic displacements of multi-degree-of-freedom (MDOF) oscillators under the action of base excitation based on a modal combination. Its essence is that 1) modal frequencies, shapes and damping during yielding of any member of the MDOF oscillators are readily specified by the modal analysis with the secondary stiffness of the members being yielded, 2) assuming that a bilinear hysteresis may describe the force-displacement relationship of each mode, an equivalently linearized system consisting of a single-degree-of-freedom (SDOF) oscillator is introduced to approximate the absolute maximum elasto-plastic displacement of each mode, 3) the absolute maximum elasto-plastic displacement of the MDOF oscillator is evaluated by the Square Root of Sum of Squares rule (SRSS-rule) by combining the maximum elasto-plastic displacement of each mode approximated by the proposed equivalently linearized system. This study first provides small modification in the equivalently linearized system. Then, employing a couple of MDOF oscillators whose spring at arbitrary storey may yield and an accelerogram, the maximum elasto-plastic displacement of the MDOF oscillator is calculated by the proposed method and is compared with that computed by the time history analysis. Their comparison suggests that the proposed method can reasonably evaluate the absolute maximum elasto-plastic displacement of the MDOF oscillator subjected to earthquake excitation as the conventional SRSS-rule does that for the linear MDOF oscillators.
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ASME 2018 Pressure Vessels and Piping Conference
July 15–20, 2018
Prague, Czech Republic
Conference Sponsors:
- Pressure Vessels and Piping Division
ISBN:
978-0-7918-5171-5
PROCEEDINGS PAPER
Estimation Accuracy of Absolute Maximum Elasto-Plastic Displacements of MDOF Oscillators Based on a Modal Combination Rule With Post-Yielding Modal Properties and Linear Response Spectrum Values
Tomoyo Taniguchi,
Tomoyo Taniguchi
Tottori University, Tottori, Japan
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Yoshihiko Toda,
Yoshihiko Toda
JIP Techno-Science Co., Ltd., Osaka, Japan
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Kyosuke Mukaibo
Kyosuke Mukaibo
Tottori University, Tottori, Japan
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Tomoyo Taniguchi
Tottori University, Tottori, Japan
Yoshihiko Toda
JIP Techno-Science Co., Ltd., Osaka, Japan
Yusuke Ono
Tottori University, Tottori, Japan
Kyosuke Mukaibo
Tottori University, Tottori, Japan
Paper No:
PVP2018-84237, V008T08A011; 10 pages
Published Online:
October 26, 2018
Citation
Taniguchi, T, Toda, Y, Ono, Y, & Mukaibo, K. "Estimation Accuracy of Absolute Maximum Elasto-Plastic Displacements of MDOF Oscillators Based on a Modal Combination Rule With Post-Yielding Modal Properties and Linear Response Spectrum Values." Proceedings of the ASME 2018 Pressure Vessels and Piping Conference. Volume 8: Seismic Engineering. Prague, Czech Republic. July 15–20, 2018. V008T08A011. ASME. https://doi.org/10.1115/PVP2018-84237
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