Experimental and formula deduction on the mechanical performance of Fang in Dou-Gong of Song dynasty

Abstract In Song dynasty, Dou-Gong construction techniques, Tou-Xin-Zao and Ji-Xin-Zao, varied by the number of Fang connecting to the exterior. This study examines the impact of Fang connections on the mechanical characteristics of Dou-Gong. Six full-scale models were constructed and subjected to q...

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Main Authors: Long Zhang, Chuang Liu, Ting Zhou, Yuqing Qin, Song Gao
Format: Article
Language:English
Published: Nature Portfolio 2024-12-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-024-81623-4
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author Long Zhang
Chuang Liu
Ting Zhou
Yuqing Qin
Song Gao
author_facet Long Zhang
Chuang Liu
Ting Zhou
Yuqing Qin
Song Gao
author_sort Long Zhang
collection DOAJ
description Abstract In Song dynasty, Dou-Gong construction techniques, Tou-Xin-Zao and Ji-Xin-Zao, varied by the number of Fang connecting to the exterior. This study examines the impact of Fang connections on the mechanical characteristics of Dou-Gong. Six full-scale models were constructed and subjected to quasi-static loading tests in the horizontal Beam and Fang directions under vertical load. The hysteresis behavior, deformation, and stiffness variations were obtained and analyzed. The test results revealed the hysteresis curve of Dou-Gong developed into a flat shape, with good deformation recovery ability and seismic performance. Beam-direction loading led to brittle failure, with Dou-Gong having fewer Fang experiencing bearing capacity loss and those with more Fang succumbing to overturning. Beam-direction stiffness rose by approximately 29% as the number of connecting Fang increased. Fang-direction loading induced ductile failure, predominantly characterized by overturning. Notably, Fang-direction stiffness remained largely unchanged by the varying number of connecting Fang. Dou-Gong slip deformation ratio decreased by 5 -10% as the number of Fang increased. Furthermore, Fang-direction exhibited about 10% greater slip deformation capacity than the Beam-direction. Based on the force transfer mechanism of Dou-Gong components, a stiffness formula for the elastic stage of Dou-Gong in the Beam-direction and Fang-direction was established and validated against experimental data.
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issn 2045-2322
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spelling doaj-art-8290cf28c2bb4e70a75d10a15dbb32b82024-12-29T12:28:36ZengNature PortfolioScientific Reports2045-23222024-12-0114111810.1038/s41598-024-81623-4Experimental and formula deduction on the mechanical performance of Fang in Dou-Gong of Song dynastyLong Zhang0Chuang Liu1Ting Zhou2Yuqing Qin3Song Gao4School of Architecture, Tianjin UniversitySchool of Architecture, Tianjin UniversitySchool of Architecture, Tianjin UniversityTianjin International Engineering Institute, Tianjin UniversityTianjin International Engineering Institute, Tianjin UniversityAbstract In Song dynasty, Dou-Gong construction techniques, Tou-Xin-Zao and Ji-Xin-Zao, varied by the number of Fang connecting to the exterior. This study examines the impact of Fang connections on the mechanical characteristics of Dou-Gong. Six full-scale models were constructed and subjected to quasi-static loading tests in the horizontal Beam and Fang directions under vertical load. The hysteresis behavior, deformation, and stiffness variations were obtained and analyzed. The test results revealed the hysteresis curve of Dou-Gong developed into a flat shape, with good deformation recovery ability and seismic performance. Beam-direction loading led to brittle failure, with Dou-Gong having fewer Fang experiencing bearing capacity loss and those with more Fang succumbing to overturning. Beam-direction stiffness rose by approximately 29% as the number of connecting Fang increased. Fang-direction loading induced ductile failure, predominantly characterized by overturning. Notably, Fang-direction stiffness remained largely unchanged by the varying number of connecting Fang. Dou-Gong slip deformation ratio decreased by 5 -10% as the number of Fang increased. Furthermore, Fang-direction exhibited about 10% greater slip deformation capacity than the Beam-direction. Based on the force transfer mechanism of Dou-Gong components, a stiffness formula for the elastic stage of Dou-Gong in the Beam-direction and Fang-direction was established and validated against experimental data.https://doi.org/10.1038/s41598-024-81623-4Dou-GongQuasi-static testTheoretical analysisRigidity formula
spellingShingle Long Zhang
Chuang Liu
Ting Zhou
Yuqing Qin
Song Gao
Experimental and formula deduction on the mechanical performance of Fang in Dou-Gong of Song dynasty
Scientific Reports
Dou-Gong
Quasi-static test
Theoretical analysis
Rigidity formula
title Experimental and formula deduction on the mechanical performance of Fang in Dou-Gong of Song dynasty
title_full Experimental and formula deduction on the mechanical performance of Fang in Dou-Gong of Song dynasty
title_fullStr Experimental and formula deduction on the mechanical performance of Fang in Dou-Gong of Song dynasty
title_full_unstemmed Experimental and formula deduction on the mechanical performance of Fang in Dou-Gong of Song dynasty
title_short Experimental and formula deduction on the mechanical performance of Fang in Dou-Gong of Song dynasty
title_sort experimental and formula deduction on the mechanical performance of fang in dou gong of song dynasty
topic Dou-Gong
Quasi-static test
Theoretical analysis
Rigidity formula
url https://doi.org/10.1038/s41598-024-81623-4
work_keys_str_mv AT longzhang experimentalandformuladeductiononthemechanicalperformanceoffangindougongofsongdynasty
AT chuangliu experimentalandformuladeductiononthemechanicalperformanceoffangindougongofsongdynasty
AT tingzhou experimentalandformuladeductiononthemechanicalperformanceoffangindougongofsongdynasty
AT yuqingqin experimentalandformuladeductiononthemechanicalperformanceoffangindougongofsongdynasty
AT songgao experimentalandformuladeductiononthemechanicalperformanceoffangindougongofsongdynasty