Piecewise exact solution of the seismic energy balance equation and its verification by shake table tests

Ahmet Güllü*, Ercan Yüksel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

The seismic energy-based design concept is attracting increasing attention due to its known advantages such as counting for frequency content of earthquake and duration-related cumulative damage. The concept requires the solution of a relatively complex integration namely the energy balance equation. Thus, some researchers have preferred to use equivalent parameters (e.g. spectral velocity) and prediction equations for the determination of seismic energy. In this study, a piecewise integration technique is proposed to achieve the exact solution of the energy balance equation. The proposed algorithm was validated through shake table tests conducted on the single degree of freedom (SDOF) and multi-degree of freedom (MDOF) systems in elastic and inelastic ranges, as well as analyses of the nonlinear response history of a benchmark frame. To evaluate the efficiency of the proposed solution technique, two MDOF specimens were supplemented by metallic dampers to have discrete damping properties. The seismic energy responses of all specimens with and without metallic dampers were determined satisfactorily. A maximum relative difference of 15% was obtained between the algorithm and the results of the experimental and numerical examples used for the validation.

Original languageEnglish
Article number112
JournalArchives of Civil and Mechanical Engineering
Volume22
Issue number3
DOIs
Publication statusPublished - Aug 2022

Bibliographical note

Publisher Copyright:
© 2022, Wroclaw University of Science and Technology.

Funding

This study was supported by the Research Fund of Istanbul Technical University (Grant No: 39305).

FundersFunder number
Istanbul Teknik Üniversitesi39305

    Keywords

    • Earthquake engineering
    • Energy-based seismic design
    • Piecewise exact method
    • Seismic input energy
    • Solution of energy balance equation

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