Journal of Shandong University(Engineering Science) ›› 2026, Vol. 56 ›› Issue (3): 49-61.doi: 10.6040/j.issn.1672-3961.0.2025.019

• 土木工程 • Previous Articles     Next Articles

Modelling of multi-vertical bar cell correction for segmental replacement of shear walls

YIN Chenglei1, ZHANG Yu2,3, ZHANG Yueran3*, ZHANG Bo3,4, REN Zongfu1, SUN Jiandong5   

  1. YIN Chenglei1, ZHANG Yu2, 3, ZHANG Yueran3*, ZHANG Bo3, 4, REN Zongfu1, SUN Jiandong5(1. Jinan Energy Engineering Group Co., Ltd., Jinan 250101, Shandong, China;
    2. Weifang University of Science and Technology, Weifang 262700, Shandong, China;
    3. School of Civil Engineering, Shandong University, Jinan 250061, Shandong, China;
    4. School of Future Technology, Shandong University, Jinan 250061, Shandong, China;
    5. Shandong Academy of Building Research Co., Ltd., Jinan 250109, Shandong, China
  • Published:2026-06-09

Abstract: Aiming at the problem that it was difficult to accurately simulate the local shear stiffness adjustment in the segmental replacement process of shear walls using the traditional multi-vertical rod unit model, this paper proposed a multi-vertical rod unit correction model based on an improved shear spring. Through the coupled modelling of independent shear springs and vertical rods, a refined characterization of axial stiffness and shear stiffness in the segmental replacement process of shear walls was achieved. The unit stiffness matrix of the model was reconstructed based on discretization theory, and a nonlinear numerical analysis program was developed using MATLAB and was solved by the modified Newton-Raphson method. Validation through calculation examples showed that the maximum relative error between the modified model and the solid element model was only 0.833%, while the computation time was significantly reduced. Furthermore, combined with real engineering cases, the error between the simulated strain values and the monitored values was less than 1%, which indicated that the modified model could accurately reflect the stress redistribution pattern of the replaced shear wall. The results demonstrated that the proposed multi-vertical rod unit correction model greatly improved computational efficiency while ensuring accuracy, and provided a reliable theoretical tool for mechanical analysis and construction optimization of segmental replacement in shear wall reinforcement.

Key words: shear walls, macroeconomic model, multi-vertical rod cell model, unit stiffness matrix, simulation analysis

CLC Number: 

  • TU978
[1] 田利, 张来仪, 王彦明, 等. 台风作用下建筑结构的研究进展[J]. 山东大学学报(工学版), 2022, 52(1): 28-38. TIAN Li, ZHANG Laiyi, WANG Yanming, et al. Research progress of building structure under typhoon[J]. Journal of Shandong University(Engineering Science), 2022, 52(1): 28-38.
[2] HU R, FANG Z, BENMOKRANE B, et al. Experimental behavior of UHPC shear walls with hybrid reinforcement of CFRP and steel bars under lateral cyclic load[J]. Journal of Composites for Construction, 2022, 26(2): 04022011.
[3] 廖维张, 张春磊, 贾天宇, 等. 预应力高强钢绞线网-聚合物砂浆加固剪力墙抗震性能试验研究[J]. 建筑结构学报, 2017, 38(6): 70-77. LIAO Weizhang, ZHANG Chunlei, JIA Tianyu, et al. Experimental investigation on seismic behavior of shear wall retrofitted with pre-stressed steel wire mesh and polymer mortar[J]. Journal of Building Structures, 2017, 38(6): 70-77.
[4] UGALE A B, KHANTE S N. Hysteretic performance of reinforced concrete external beam-column joint subassemblies using non-conventional diagonal bars[J]. Structures, 2021, 32: 2042-2047.
[5] GHOBARAH A, BIDDAH A, MAHGOUB M. Rehabilitation of reinforced concrete columns using corrugated steel jacketing[J]. Journal of Earthquake Engineering, 1997, 1(4): 651-673.
[6] KIM S, JEONG Y, KWON M, et al. Ductile behavior of RC column reinforced with Velcro seismic reinforcement system(VSRS)[J]. Structures, 2022, 44: 796-808.
[7] SUN Y H, WU X Y, XIONG G J. Seismic behaviour of RC columns strengthened with steel bar/wire mesh mortar[J]. Key Engineering Materials, 2013, 539: 108-114.
[8] MA C K, APANDI N M, SOFRIE C S Y, et al. Repair and rehabilitation of concrete structures using confinement: a review[J]. Construction and Building Materials, 2017, 133: 502-515.
[9] HE R L, YANG Y, SNEED L H. Seismic repair of reinforced concrete bridge columns: review of research findings[J]. Journal of Bridge Engineering, 2015, 20(12): 04015015.
[10] 周登峰. 混凝土剪力墙结构免支撑置换加固应力滞后效应分析[D]. 南京:东南大学, 2017: 75-76. ZHOU Dengfeng. Analysis of stress hysteresis effect of concrete shear wall structure strengthened by support-free replacement[D]. Nanjing: Southeast University, 2017: 75-76.
[11] 陈大川, 郭虹位. 高层建筑混凝土剪力墙免支撑置换受力分析[J]. 工业建筑, 2020, 50(9): 68-74. CHEN Dachuan, GUO Hongwei. Stress analysis of a high-rise building with RC shear walls reinforced by unsupported replacement method[J]. Industrial Construction, 2020, 50(9): 68-74.
[12] 雷拓, 刘宜, 李坤, 等. 剪力墙结构置换加固应力重分布[J]. 建筑科学与工程学报, 2020, 37(5): 132-141. LEI Tuo, LIU Yi, LI Kun, et al. Stress redistribution of shear wall structure with replacement reinforcement[J]. Journal of Architecture and Civil Engineering, 2020, 37(5): 132-141.
[13] 李晓路, 李寰, 方士超, 等. RC框架结构梁板柱空间协同抗连续性倒塌非线性有限元分析[J]. 建筑结构, 2017, 47(21): 67-72. LI Xiaolu, LI Huan, FANG Shichao, et al. Nonlinear finite element analysis on progressive collapse of RC frame structure considering beam-slab-column spatial synergies[J]. Building Structure, 2017, 47(21): 67-72.
[14] 李清华. 工字形双波纹钢板-混凝土组合剪力墙力学性能有限元分析[D]. 石家庄:河北科技大学, 2021: 29-30. LI Qinghua. Finite element analysis on mechanical properties of I-shaped double corrugated steel plate-concrete composite shear wall[D]. Shijiazhuang:Hebei University of Science and Technology, 2021: 29-30.
[15] 张谨, 杨律磊, 谈丽华, 等. 钢管混凝土框架-钢板剪力墙核心筒-黏滞阻尼墙减震结构抗震性能评价研究[J]. 建筑结构, 2022, 52(20): 9-15. ZHANG Jin, YANG Lülei, TAN Lihua, et al. Research on the seismic performance assessment of a concrete filled steel tube frame-steel plate core shear wall-viscous damping wall energy-dissipated structure[J]. Building Structure, 2022, 52(20): 9-15.
[16] 闫翔宇, 段岩, 陈志华, 等. 钢网格剪力墙力学性能试验研究及有限元分析[J]. 建筑结构学报, 2021, 42(增刊1): 249-259. YAN Xiangyu, DUAN Yan, CHEN Zhihua, et al. Experimental study and finite element analysis of grid-shaped steel plate shear wall[J]. Journal of Building Structures, 2021, 42(Suppl.1): 249-259.
[17] 樊禹江, 丁佳雄, 黄欢欢, 等. 一种新型装配式混凝土剪力墙等效平面桁架模型[J]. 山东大学学报(工学版), 2024, 54(3): 94-102. FAN Yujiang, DING Jiaxiong, HUANG Huanhuan, et al. An equivalent plane truss model for new fabricated concrete shear wall[J]. Journal of Shandong University(Engineering Science), 2024, 54(3): 94-102.
[18] 赖正聪, 潘文, 白羽, 等. 基于等效梁模型的大高宽比高层剪力墙隔震结构地震反应分析[J]. 振动与冲击, 2021, 40(20): 127-134. LAI Zhengcong, PAN Wen, BAI Yu, et al. Seismicresponse analysis of base-isolated high-rising shear wall structure with large height-width ratio based on an equivalent beam model[J]. Journal of Vibration and Shock, 2021, 40(20): 127-134.
[19] KABEYASAWA T, SHIOARA H, OTANI S U S. Japan cooperative research on R/C full-scale building test-Part5: discussion ondynamic response system[C] //Proceedings of 8th WCEE. San Francisco, USA: Prentice-Hall, 1984: 627-634.
[20] VULCANO A, BERTERO V V, COLOTTI V. Analytical modelingof RC structural walls[C] // Proceedings of 9th WCEE. Tokyo, Japan: Prentice-Hall, 1988: 41-46.
[21] 蒋欢军, 吕西林. 用一种墙体单元模型分析剪力墙结构[J]. 地震工程与工程振动, 1998, 18(3): 40-48. JIANG Huanjun, LÜ Xilin. Analysis of shear wall structures using a type of wall element[J]. Earthquake Engineering and Engineering Vibration, 1998, 18(3): 40-48.
[22] 孙景江, 江近仁. 高层建筑抗震墙非线性分析的扩展铁木辛哥分层梁单元[J]. 地震工程与工程振动, 2001, 21(2): 78-83. SUN Jingjiang, JIANG Jinren. Extended Timoshenko layered beam element for nonlinear analysis of RC high-rise buildings with structural walls[J]. Earthquake Engineering and Engineering Vibration, 2001, 21(2): 78-83.
[23] 韦锋, 孙运轮, 谢岳峻, 等. 核岛厂房低剪跨比混凝土剪力墙拟静力试验[J]. 建筑结构, 2018, 48(16): 78-82. WEI Feng, SUN Yunlun, XIE Yuejun, et al. Quasi-static tests on small shear-span-ratio reinforced concrete shear walls in nuclear island buildings[J]. Building Structure, 2018, 48(16): 78-82.
[24] 王威, 丁小波, 苏三庆, 等. 波形钢板剪力墙拟静力试验及数值模拟[J]. 应用力学学报, 2021, 38(5): 1782-1791. WANG Wei, DING Xiaobo, SU Sanqing, et al. Quasi-static test and numerical simulation of corrugated steel plate shear wall[J]. Chinese Journal of Applied Mechanics, 2021, 38(5): 1782-1791.
[25] COLOTTI V. Shear behavior of RC structural walls[J]. Journal of Structural Engineering, 1993, 119(3): 728-746.
[26] 王朝晖. 钢筋混凝土高层建筑结构三维线性及非线性地震反应分析方法的研究[D]. 长沙: 湖南大学, 2009: 60-61. WANG Zhaohui. Study on three-dimensional linear and nonlinear seismic response analysis methods for reinforced concrete high-rise building structures[D]. Changsha: Hunan University, 2009: 60-61.
[27] 司林军, 李国强, 孙飞飞. 一种空间剪力墙非线性计算模型[J]. 工程力学, 2013, 30(7): 122-128. SI Linjun, LI Guoqiang, SUN Feifei. A nonlinear model for spatial shear walls[J]. Engineering Mechanics, 2013, 30(7): 122-128.
[28] 朱杰江, 郑琼, 田堃. 非线性剪力墙单元模型的改进及其应用[J]. 上海大学学报(自然科学版), 2009, 15(3): 316-319. ZHU Jiejiang, ZHENG Qiong, TIAN Kun. Improved element model for nonlinear reinforced concrete walls and its application[J]. Journal of Shanghai University(Natural Science Edition), 2009, 15(3): 316-319.
[29] 李志宁, 李青宁, 张洪涛. 基于参变量变分原理的修正多垂直杆墙元模型[J]. 工业建筑, 2008, 38(4): 31-35. LI Zhining, LI Qingning, ZHANG Hongtao. The modified mvle model basing on the parametric variational principle[J]. Industrial Construction,2008, 38(4): 31-35.
[30] 李耀庄, 张强, 徐志胜. 基于弯剪耦合的多垂直杆单元理论的钢筋混凝土剪力墙弹塑性分析[J]. 铁道科学与工程学报, 2020, 17(2): 442-450. LI Yaozhuang, ZHANG Qiang, XU Zhisheng. Elasto-plastic analysis of reinforced concrete shear walls based on multipl-vertical-line-element model with shear-flexure interaction[J]. Journal of Railway Science and Engineering, 2020, 17(2): 442-450.
[31] LUU H, GHORBANIRENANI I, LÉGER P, et al. Numerical modeling of slender reinforced concrete shear wall shaking table tests under high-frequency ground motions[J]. Journal of Earthquake Engineering, 2013, 17(4):517-542.
[32] HOGNESTAD E. Study of combined bending and axial load in reinforced concrete members[R]. Illinois, USA: Champaign University of Illinois, 1951.
[33] HIROSAWA M. Past experimental results on reinforced concrete shear walls and analysis on them[R]. Tokyo,Japan: Ministry of Construction, 1975.
[34] 周曦, 柴晓宇, 王彬, 等. 一种改进牛顿-拉夫逊ERT算法[J]. 计算机仿真, 2022, 39(9): 252-256. ZHOU Xi, CHAI Xiaoyu, WANG Bin, et al. An improved Newton-Raphson ERT algorithm[J]. Computer Simulation, 2022, 39(9): 252-256.
[1] LYU Guoren, ZHOU Hao, LI Li, GAO Quanting, JIANG Zhuchang. Reinforcement effect and stability analysis of tunnel horizontal jet grouting of different construction methods [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2015, 45(3): 80-85.
[2] ZHOU Shou-Jun, ZHAO Wei-En, CHEN Ming-Jiu, TIAN Mao-Cheng. Research of the hydraulic adjustment method for a district heating system [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(3): 151-153.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!