[1]张皓,陈宜言,周建杰,等.预应力混凝土弯扭耦合构件非线性分析[J].长安大学学报(自然科学版),2025,45(3):115-127.[doi:10.19721/j.cnki.1671-8879.2025.03.010]
　ZHANG Hao,CHEN Yi-yan,ZHOU Jian-jie,et al.Nonlinear analysis of prestressed concrete members subjected to bending and torsion[J].Journal of Chang’an University (Natural Science Edition),2025,45(3):115-127.[doi:10.19721/j.cnki.1671-8879.2025.03.010]
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预应力混凝土弯扭耦合构件非线性分析()
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长安大学学报（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
第45卷
期数:
2025年3期
页码:
115-127
栏目:
桥梁与隧道工程
出版日期:
2025-05-31

文章信息/Info

Title:
Nonlinear analysis of prestressed concrete members subjected to bending and torsion
文章编号:
1671-8879(2025)03-0115-13
作者:
张皓1; 陈宜言1; 周建杰1; 董桔灿2; 赵秋1
(1. 福州大学 土木工程学院,福建 福州 350108; 2. 云基智慧工程股份有限公司,广东 深圳 518000)
Author(s):
ZHANG Hao1;  CHEN Yi-yan1;  ZHOU Jian-jie1;  DONG Ju-can2;  ZHAO Qiu1
(1. School of Civil Engineering, Fuzhou University, Fuzhou 350108, Fujian, China; 2. Yunji Intelligent Engineering Co. Ltd., Shenzhen 518000, Guangdong, China)
关键词:
桥梁工程;  弯扭耦合作用;  全过程分析理论模型;  预应力混凝土梁;  优化算法
Keywords:
bridge engineering;  bending-torsion coupling effect;  theoretical model of full range analysis;  prestressed concrete beam;  optimized algorithm
分类号:
U448.35
DOI:
10.19721/j.cnki.1671-8879.2025.03.010
文献标志码:
A
摘要:
为研究预应力混凝土梁在弯扭耦合作用下的全过程受力性能,基于联合作用软化桁架模型(CA-STM)提出改进的弯扭耦合全过程分析理论模型。首先,根据预应力混凝土梁的弯扭耦合受力机理,建立满足预应力引起的初应力-应变关系的平衡方程、协调方程和材料本构方程。然后,基于既往规范引入考虑预应力效应的空心截面和实心截面初始扭矩计算公式,建立附加方程、薄壁应变和相容关系,并提出钢筋和预应力筋简化等效方法。在此基础上,采用梯度递减法代替传统试错法以提高求解速率和稳定性,并通过MATLAB编制预应力混凝土梁的弯扭耦合分析求解程序。最后,通过对比既有试验和理论结果,对所提出理论模型进行验证。研究结果表明:建立的空心截面和实心截面初始扭矩计算公式与既有试验结果吻合较好; 未考虑预应力效应时,由改进模型预测的开裂扭矩和极限扭矩偏小; 改进模型准确预测了预应力混凝土构件在弯扭耦合作用下的全过程扭矩-扭率曲线和弯矩-曲率曲线; 相较于传统试错法,提出的优化算法具有更高的求解速率和稳定性,其平均计算时间仅需12 s。
Abstract:
To study the full range performance of prestressed concrete beams under bending-torsion coupling effect, an improved theoretical model of full range analysis in bending-torsion coupling effect was proposed based on the combined action softening truss model(CA-STM). Firstly, according to the bending-torsion coupling force mechanism of prestressed concrete beams, the equilibrium equations, compatibility equations and constitutive relationships satisfying the initial stress-strain relationship caused by prestress were established. Then, the initial torque formulas of hollow and solid sections considering the prestressing effect were introduced based on the previous codes. Additional the equations, the strains and compatibility relations for thin walls were established, and the simplified equivalence methods for steel and prestressing tendons were also proposed. On this basis, the gradient decreasing method was used instead of the traditional trial-and-error method to improve the solution rate and stability, and the solution program for the bending-torsion coupling analysis of prestressed concrete beams was prepared by MATLAB. Finally, the proposed theoretical model was validated by comparing the existing experimental and theoretical results. It can be concluded that the established initial torque equations for hollow and solid sections are in good agreement with the existing test results. The result shows that the cracking and ultimate torque values predicted by the improved model are underestimated without considering the prestressing effect. The improved model accurately predicts the full range torque-twist curves and bending moment-curvature curves of prestressed concrete members subjected to bending-torsion effect. Compared with the traditional trial-and-error method, the proposed optimized algorithm provides a higher solution rate and stability, and its average computation time is only 12 s.3 tabs, 12 figs, 23 refs.

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备注/Memo

备注/Memo:
收稿日期:2024-12-01
基金项目:福建省自然科学基金项目(2019J01232)
作者简介:张 皓(1995-),男,河南郑州人,工学博士研究生,E-mail:470268065@qq.com。
通信作者:赵 秋(1976-),男,福建福州人,教授,博士研究生导师,E-mail:zhaoqiu@fzu.edu.cn。
更新日期/Last Update: 2025-05-30