Probabilistic Performance-Based Assessment for Critical Separation Distance of Adjacent Buildings: Theoretical Analysis
Publication: Journal of Performance of Constructed Facilities
Volume 34, Issue 4
Abstract
Existing methodologies to calculate the minimum separation distance between adjacent buildings are based on the estimations of the peak relative horizontal displacement of adjacent structures that are characterized by unknown pounding probabilities. The present study proposes a probabilistic performance-based procedure for determining the critical separation distance (CSD) with a designed pounding probability for adjacent buildings under different structural properties and seismic hazard sites. In the proposed procedure, the pounding events are formulated as single-barrier, first-passage reliability problems using the performance-based seismic design theory. Using the random vibration theory, the nongeometric spectral characteristics of the relative displacement response of adjacent buildings are deduced, and the approximate analytical solutions of the seismic pounding fragility are obtained by employing analytical approximations. Based on the seismic pounding fragility of adjacent buildings, the calculation of the CSD is described as an inverse reliability problem, and the specific CSDs with a target probability of pounding during the design life of the given adjacent buildings are derived using a proposed piecewise fitting iterative search algorithm. The proposed procedure is applied to different linear elastic single-degree-of-freedom (SDOF) and multi-degree-of-freedom (MDOF) systems. The accuracy and efficiency of the proposed methodology for determining CSD are verified by referencing the importance of sampling using the elementary events (ISEE) method. Furthermore, different parametric analyses are conducted based on the proposed methodology and that consider the influences of different ratios of natural periods, the floor numbers of the adjacent buildings, and the different site hazard curves on the value of the CSD to verify that the procedure to determine the CSD of the adjacent buildings, as proposed in this paper, can obtain a uniform pounding probability for adjacent structures with different structural properties and seismic hazard sites.
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Data Availability Statement
Some data, models, or code that support the findings of this study are available from the corresponding author through reasonable requests.
Acknowledgments
The writers are grateful for the National Nature Science Foundation of China (51408443 and 51838006) and the State Key Lab of Subtropical Building Science, South China University of Technology (Grant No. 2019ZB20). The writers also very much appreciate the Huazhong University of Science and Technology and the Hubei (China) Key Laboratory of Structural Control.
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Published In
Journal of Performance of Constructed Facilities
Volume 34 • Issue 4 • August 2020
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©2020 American Society of Civil Engineers.
History
Received: Jan 24, 2019
Accepted: Dec 30, 2019
Published online: Apr 24, 2020
Published in print: Aug 1, 2020
Discussion open until: Sep 24, 2020
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