基于OpenSEES的砌体结构非线性分析方法研究
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摘要
砌体结构的有限元分析方法一直面临着复杂性与精确性两大对立矛盾问题。基于等效框架原理,为避免对砌体结构进行简化分析时造成的刚度差异变化,采用分别考虑墙片单一弯曲变形调整系数α和单一剪切变形调整系数β来对结构的刚度进行调整,并从理论推导与数值模拟两方面进行验证。结果表明:引入的调整系数能够更加准确合理地对砌体结构进行非线性数值分析,当墙片高宽比小于1时,采用剪切变形调整系数的精确性优于弯曲变形调整系数。
The finite element analysis of masonry structures has always been complex and difficult to ensure its accuracy. To avoid the difference of the stiffness by using the equivalent framework to simplify and analyse the masonry,the single bending deformation adjustment factor α and single shear deformation adjustment factor β were used to adjust the stiffness of the structure,which was verified from theoretical analysis and simulation,showing that the introduction of the adjustment factors was accurate and reasonable to do the nonlinear numerical analysis of the masonry. The result also showed that using shear deformation adjustment factor was superior to bending adjustment factor in precision of simulating.
The finite element analysis of masonry structures has always been complex and difficult to ensure its accuracy. To avoid the difference of the stiffness by using the equivalent framework to simplify and analyse the masonry,the single bending deformation adjustment factor α and single shear deformation adjustment factor β were used to adjust the stiffness of the structure,which was verified from theoretical analysis and simulation,showing that the introduction of the adjustment factors was accurate and reasonable to do the nonlinear numerical analysis of the masonry. The result also showed that using shear deformation adjustment factor was superior to bending adjustment factor in precision of simulating.
引文
[1]清华大学、西南交通大学、北京交通大学土木工程结构专家组.汶川地震建筑震害分析[J].建筑结构学报,2008,29(4):1-3.
[2]李碧雄,谢和平,王哲,等.汶川地震后多层砌体结构震害调查及分析[J].四川大学学报:工程科学版,2009,41(4):19-25.
[3]Pande G N,Liang J X,Middleton J.Equivalent Elastic Moduli for Brick Masonry[J].Computers and Geotechnics,1989(8):243-265.
[4]刘振宇,叶燎原,潘文.等效体积单元(RVE)在砌体有限元分析中的应用[J].工程力学,2003,20(2):31-35.
[5]Brencich A,Gambarotta L,Lagomarsino S.A Macroelement Approach to the Three-Dimensional Seismic Analysis of Masonry Buildings[C]∥11th European Conference on Earthquake Engineering.Balkem-a,Rotterdam:1998:1-9.
[6]Kappos A J,Penelis G Q,Drakopoulos C G.Evaluation of Simplified Models for Lateral Load Analysis of Unreinforced Masonry Buil dings[J].Journal of Structural Engineering,ASCE,2003,128(7):890-897.
[7]Kim S C,White D W.Nonlinear Analysis of a One-Story Low-Rise Masonry Building with a Flexible Diaphragm Subjected to Seismic Excitation[J].Engineering Structures,2004,26:2053-2067.
[8]Salonikios T,Karakostas C,Lekidis V,et al.Comparative Inelastic Pushover Analysis of Masonry Frames[J].Engineering Structures,2003,25:1515-1523.
[9]王立成.汶川地震后学校砌体建筑结构破坏情况调查与分析[J].大连理工大学学报,2009,49(5):650-656.
[10]周强.砌体结构抗震试验及弹塑性地震反应分析[D].哈尔滨:哈尔滨工业大学,2012:6-34.
[11]常兆中.混凝土砌块结构非线性地震反应分析及基于性能的抗震设计方法[D].北京:中国建筑科学研究院,2005:72-110.
[12]邹宏德,孙娟,蓝宗建,等.低周反复水平荷载作用下混凝土小型空心砌块开洞墙的试验研究[J].工业建筑,2001,31(5):26-28.
[2]李碧雄,谢和平,王哲,等.汶川地震后多层砌体结构震害调查及分析[J].四川大学学报:工程科学版,2009,41(4):19-25.
[3]Pande G N,Liang J X,Middleton J.Equivalent Elastic Moduli for Brick Masonry[J].Computers and Geotechnics,1989(8):243-265.
[4]刘振宇,叶燎原,潘文.等效体积单元(RVE)在砌体有限元分析中的应用[J].工程力学,2003,20(2):31-35.
[5]Brencich A,Gambarotta L,Lagomarsino S.A Macroelement Approach to the Three-Dimensional Seismic Analysis of Masonry Buildings[C]∥11th European Conference on Earthquake Engineering.Balkem-a,Rotterdam:1998:1-9.
[6]Kappos A J,Penelis G Q,Drakopoulos C G.Evaluation of Simplified Models for Lateral Load Analysis of Unreinforced Masonry Buil dings[J].Journal of Structural Engineering,ASCE,2003,128(7):890-897.
[7]Kim S C,White D W.Nonlinear Analysis of a One-Story Low-Rise Masonry Building with a Flexible Diaphragm Subjected to Seismic Excitation[J].Engineering Structures,2004,26:2053-2067.
[8]Salonikios T,Karakostas C,Lekidis V,et al.Comparative Inelastic Pushover Analysis of Masonry Frames[J].Engineering Structures,2003,25:1515-1523.
[9]王立成.汶川地震后学校砌体建筑结构破坏情况调查与分析[J].大连理工大学学报,2009,49(5):650-656.
[10]周强.砌体结构抗震试验及弹塑性地震反应分析[D].哈尔滨:哈尔滨工业大学,2012:6-34.
[11]常兆中.混凝土砌块结构非线性地震反应分析及基于性能的抗震设计方法[D].北京:中国建筑科学研究院,2005:72-110.
[12]邹宏德,孙娟,蓝宗建,等.低周反复水平荷载作用下混凝土小型空心砌块开洞墙的试验研究[J].工业建筑,2001,31(5):26-28.
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