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Estimation of constant-damage residual displacements in terms of maximum inelastic displacements for SDOF structures

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Abstract

This paper investigates the constant-damage residual displacement ratios Cr (i.e., the ratio of the residual displacement in terms of the maximum inelastic displacement) of single-degree-of-freedom (SDOF) systems with different damage levels. A statistical study aimed at estimating the constant-damage Cr is conducted using the modified Park–Ang damage model when subjected to 228 ground motions recorded in California and organized for the NEHRP soil type, peak ground acceleration and ground motion duration. The effects of soil type, damage model and hysteretic behaviour are highlighted. The results indicate that constant-damage Cr increases when the damage index increases, reaching a limit at a damage index of 0.5. An empirical expression is finally proposed with two-step regression analysis to provide a reliable estimate of constant-damage Cr for SDOF structures.

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Acknowledgements

This investigation is supported by the the Scientific Research Fund of Institute of Engineering Mechanics, China Earthquake Administration (2019D06), National Natural Science Foundation of China (U1939210; 52078470) and National Key R&D Program of China (2017YFC1500403; 2018YFC1504401). These supports are gratefully acknowledged. The authors are grateful to the anonymous reviewers for the constructive comments and suggestions.

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Authors and Affiliations

  1. Institute of Engineering Mechanics, China Earthquake Administration, Harbin, China

    Bali Liu, Jinjun Hu & Lili Xie

  2. Key Laboratory of Earthquake Engineering and Engineering Vibration of China Earthquake Administration, Harbin, China

    Bali Liu, Jinjun Hu & Lili Xie

Authors
  1. Bali Liu
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  2. Jinjun Hu
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  3. Lili Xie
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Contributions

All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by Bali Liu and Jinjun Hu. The first draft of the manuscript was written by Bali Liu and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Jinjun Hu.

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Appendix: Tables of selected ground motions

Appendix: Tables of selected ground motions

See Tables 7, 8 and 9.

Table 7 Ground motions record on soil type B
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Table 8 Ground motions record on soil type C
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Table 9 Ground motions record on soil type D
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Liu, B., Hu, J. & Xie, L. Estimation of constant-damage residual displacements in terms of maximum inelastic displacements for SDOF structures. Bull Earthquake Eng 20, 1027–1055 (2022). https://doi.org/10.1007/s10518-021-01285-9

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