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Simplified approximate approach to dynamic interaction between a cluster of piled structures

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Abstract

Seismic interaction between densely distributed buildings and sites in cities, known as site-city interaction (SCI), can be momentous for urban damage assessment and mitigation. Past studies on SCI effects have mainly focused on structures on surface or shallow-embedded foundations. There is a need for a simple dynamic model for analyzing the interaction of piled structures so that high-rise buildings on soft soils can be included in an SCI analysis. This study addresses the interaction between piled structures considering SCI effects. First, analytical models are proposed to simulate dynamic interactions between adjacent piled structures idealized as simple oscillators on monopiles. Then, SCI effects are quantified through frequency response analyses using a number of parameters, including pile-soil stiffness ratio, structure-pile mass ratio, structural spacing, and pile slenderness. It is shown that SCI effects can amplify or reduce displacement and internal force amplitudes of piles and structures and, in some cases, could be significantly prominent. The proposed models can be used to predict SCI effects in urban building clusters involving pile foundations, which provides a reference for designing these buildings at a preliminary stage.

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Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author upon reasonable request.

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Acknowledgements

The authors are grateful for the financial support provided by the National Natural Science Foundation of China (Grant No. 52008275).

Funding

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Contributions

All authors contributed to the study’s conception and design. Material preparation, data collection, and analysis were performed by HZ, and FX, and YL, and HY. The first draft of the manuscript was written by HZ and all authors commented on the previous version of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Yang Lu.

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Appendix A: My Appendix

Appendix A: My Appendix

The Fig. 11, 12, 13, 14, 15, 16 are included in the appendix:

Fig. 11
figure 11

A single piled structure response (\(H=40d, S=2d, \omega _{dim}=4/11\)): pile displacement (the first column), pile bending moment (the second column), superstructure deformation (the third column)

Fig. 12
figure 12

\(3\times 4\) grouped piled structures response (\(H=40d, S=2d, \omega _{dim}=4/11\)): pile displacement (the first column), pile bending moment (the second column), superstructure deformation (the third column)

Fig. 13
figure 13

A single piled structure response (\(E_p/E_s=1000, S=2d, \omega _{dim}=4/11\)): pile displacement (the first column), pile bending moment (the second column), superstructure deformation (the third column)

Fig. 14
figure 14

\(3\times 4\) grouped piled structures response (\(E_p/E_s=1000, S=2d, \omega _{dim}=4/11\)): pile displacement (the first column), pile bending moment (the second column), superstructure deformation (the third column)

Fig. 15
figure 15

A single piled structure response (\(E_p/E_s=1000, H=40d, S=2d\)): pile displacement (the first column), pile bending moment (the second column), superstructure deformation (the third column)

Fig. 16
figure 16

\(3\times 4\) grouped piled structures response (\(E_p/E_s=1000, H=40d, S=2d\)): pile displacement (the first column), pile bending moment (the second column), superstructure deformation (the third column)

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Zou, H., **ong, F., Lu, Y. et al. Simplified approximate approach to dynamic interaction between a cluster of piled structures. Bull Earthquake Eng 21, 5597–5624 (2023). https://doi.org/10.1007/s10518-023-01743-6

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