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Analysis of Maximum Elasto-Plastic Response of Multi-Degree-of-Freedom Oscillators Based on a Modal Combination of Equivalently Linearized Response of Each Mode

[+] Author Affiliations
Tomoyo Taniguchi, Yusuke Ono

Tottori University, Tottori, Japan

Hiroki Nishiraku

Chodai Co. Ltd., Osaka, Japan

Paper No. PVP2016-63865, pp. V008T08A010; 10 pages
doi:10.1115/PVP2016-63865
From:
  • ASME 2016 Pressure Vessels and Piping Conference
  • Volume 8: Seismic Engineering
  • Vancouver, British Columbia, Canada, July 17–21, 2016
  • Conference Sponsors: Pressure Vessels and Piping Division
  • ISBN: 978-0-7918-5046-6
  • Copyright © 2016 by ASME

abstract

This study develops a new analytical method for evaluating maximum elasto-plastic displacement of multi-degree-of-freedom (MDOF) oscillators under the action of base excitation based on a modal combination. The essence is that 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. In addition, 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 maximum elsato-plastic displacement of each mode. Employing the SRSS-rule, the maximum elasto-plastic displacement of the MDOF oscillator subjected to Kobe-NS accelerogram is calculated and compared with that computed by the commercial software. Applicability of the proposed method to evaluating maximum elasto-plastic displacement of the MDOF oscillator is thoroughly discussed.

Copyright © 2016 by ASME

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