预应力混凝土叠合板刚度非线性有限元分析及挠度计算
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摘要
本文采用ANSYS非线性有限元程序对预应力混凝土叠合板的受力全过程进行了详细分析,并与试验结果进行对比。
首先,研究了由四块预应力带肋薄板叠合成的矩形板在静载破坏试验下的受力性能,内容包括荷载—挠度曲线的变化规律、裂缝的出现和开展、开裂荷载、极限承载力等。试验结果表明这种叠合板具有很高的强度和刚度,在正常使用荷载下不会开裂,能够满足承载力和变形要求。叠合板的裂缝开展情况和破坏时裂缝分布特征表明了该种楼盖存在明显的双向受力效应。通过分析整体式拼缝的特点,研究板带的受力性能。
其次,在试验研究的基础上,采用ANSYS程序对预应力混凝土单向、双向叠合板分别进行了从预制底板的预应力施加到预制底板承受施工阶段荷载,再到叠合板承受正常使用阶段荷载,最后到叠合板破坏的全过程受力模拟。并结合试验资料,通过荷载—挠度曲线、极限承载力和裂缝展开图的比较,证明了有限元分析的可行性和合理性。
最后,通过分析试验数据和ANSYS的计算结果,得出预应力混凝土单向叠合板的短期刚度计算公式,并在此基础上探讨了双向叠合板挠度的计算方法。上述研究成果可以为预应力混凝土叠合板的工程应用和进一步研究提供参考。
This paper presents a detailed analysis of the mechanical nature about the prestressed laminated concrete slab under increasing uniform surface load until destruction by using ANSYS nonlinear finite element analysis program, and compares the results with the experimental facts.
Firstly, the two-way laminated concrete slab which is composed by four prestressed thin concrete plates with ribs was studied in the process of static load destructive experiment. The experimental findings include the laws of load-deflection, the cracking characteristic, the ultimate bearing capacity, the cracking load and so on. The experimental results show that this kind of slab performs excellent in stength and rigidity, and it can meet the demand of bearing capacity and deformation under the regular service conditions without cracking. According to the character of crack pattern and the damages of the floor, it can be observed that this kind of floor presents bidirectional effect obviously. And the mechanical nature of slat is studied by analyzing the feature of integral edge joint.
Secondly, based on the experimental study, nonlinear finite element analysis of one-way and two-way laminated concrete slab under the process from the period of bottom thin slab prestressed to construction, then to usage period and last to damage is simulated by adopting ANSYS program. Contrasting the curve of load-deflection, cracking load, ultimate bearing capacity and the divergence graph of crack, the finite element analysis is proved feasible and appropriate.
Lastly, by analyzing the experimental data and the results of ANSYS, the formula of stiffness refering to the one-way laminated concrete slab under the short period load is obtained. Moreover, the deflection calculation method of the two-way laminated concrete is discussed.
Above-mentioned research findings maybe provide references for engineering application and further study of the prestressed laminated concrete slab.
首先,研究了由四块预应力带肋薄板叠合成的矩形板在静载破坏试验下的受力性能,内容包括荷载—挠度曲线的变化规律、裂缝的出现和开展、开裂荷载、极限承载力等。试验结果表明这种叠合板具有很高的强度和刚度,在正常使用荷载下不会开裂,能够满足承载力和变形要求。叠合板的裂缝开展情况和破坏时裂缝分布特征表明了该种楼盖存在明显的双向受力效应。通过分析整体式拼缝的特点,研究板带的受力性能。
其次,在试验研究的基础上,采用ANSYS程序对预应力混凝土单向、双向叠合板分别进行了从预制底板的预应力施加到预制底板承受施工阶段荷载,再到叠合板承受正常使用阶段荷载,最后到叠合板破坏的全过程受力模拟。并结合试验资料,通过荷载—挠度曲线、极限承载力和裂缝展开图的比较,证明了有限元分析的可行性和合理性。
最后,通过分析试验数据和ANSYS的计算结果,得出预应力混凝土单向叠合板的短期刚度计算公式,并在此基础上探讨了双向叠合板挠度的计算方法。上述研究成果可以为预应力混凝土叠合板的工程应用和进一步研究提供参考。
This paper presents a detailed analysis of the mechanical nature about the prestressed laminated concrete slab under increasing uniform surface load until destruction by using ANSYS nonlinear finite element analysis program, and compares the results with the experimental facts.
Firstly, the two-way laminated concrete slab which is composed by four prestressed thin concrete plates with ribs was studied in the process of static load destructive experiment. The experimental findings include the laws of load-deflection, the cracking characteristic, the ultimate bearing capacity, the cracking load and so on. The experimental results show that this kind of slab performs excellent in stength and rigidity, and it can meet the demand of bearing capacity and deformation under the regular service conditions without cracking. According to the character of crack pattern and the damages of the floor, it can be observed that this kind of floor presents bidirectional effect obviously. And the mechanical nature of slat is studied by analyzing the feature of integral edge joint.
Secondly, based on the experimental study, nonlinear finite element analysis of one-way and two-way laminated concrete slab under the process from the period of bottom thin slab prestressed to construction, then to usage period and last to damage is simulated by adopting ANSYS program. Contrasting the curve of load-deflection, cracking load, ultimate bearing capacity and the divergence graph of crack, the finite element analysis is proved feasible and appropriate.
Lastly, by analyzing the experimental data and the results of ANSYS, the formula of stiffness refering to the one-way laminated concrete slab under the short period load is obtained. Moreover, the deflection calculation method of the two-way laminated concrete is discussed.
Above-mentioned research findings maybe provide references for engineering application and further study of the prestressed laminated concrete slab.
引文
[1]赵顺波,张新中,混凝土叠合结构设计原理与应用,北京:中国水利水电出版社,2002
[2]周旺华,现代混凝土叠合结构,北京:中国建筑工业出版社,1982
[3]朱伯龙,装配整体式密肋楼板的理论及试验研究,同济大学科技情报站,1961
[4]TJ10—74,钢筋混凝土结构设计规范,北京:中国建筑工业出版社,1974
[5]天津大学,同济大学,南京工学院,钢筋混凝土结构(下),北京:中国建筑工业出版社,1980
[6]聂建国等,钢—混叠合板组合梁在连体结构工程中的应用,建筑结构,2002(4):24~26
[7]沈春祥,预应力混凝土双向叠合板试验研究,天津大学硕士学位论文, 2005
[8]中华人民共和国国家标准,混凝土结构试验方法标准(GB50512—92),北京:中国建筑工业出版社,1992
[9]R.派克W.L根勃尔著,黄国桢,成源华译,钢筋混凝土板,上海:同济大学出版社,1991
[10]徐天爽,徐有邻,双向叠合板拼缝传力性能的试验研究,建筑科学,2003.12(6):11~14
[11]中华人民共和国国家标准,混凝土结构设计规范(GB500010-2002),北京:中国建筑工业出版社,2002
[12]蓝宗建,混凝土结构设计原理:《混凝土结构设计规范》(GB50010—2002)学习和应用指南,南京:东南大学出版社,2002
[13]Dary1L.Lvogan著,伍义生,吴永礼等译,有限元方法基础教程,北京:电子工业出版社,2003
[14]江见鲸,陆新征,叶列平,混凝土结构有限元分析,北京:清华大学出版社,2005
[15] Scordris, A. C. et all, Finite Element Analysis of Reinforced Beam. ACI Journal. VOL. 64, March. 1967
[16] Nisson,Arthur H, Nonlinear Analysis of Reinforced Concrete by the Finite Element Method, ACI Journal, VOL.65,september.1968
[17] Franklin, H. A, Nonlinear Analysis of Reinforced Concrete Frames and Panels, ph. D. Dissertation, Division of Structure Engineering and Structure Mechanics, university of California, Berkeley, March. 1970
[18] Zienkiewiez, O, Owen. D. R. H. Philios, D. V. and Nyak G. G, Finite Element Method in Analysis of Reactor vessels, Nuclear Engineering and Design, 20(1972)
[19] Darwin, D. and Pecknold, D, A. Aanlysis of RC shear Panels. Under cyclic loading, J.of structure Division, VOL.102, no.ST2, februrary, 1976.
[20]董哲仁,钢筋混凝土有限元法原理与应用,北京:中国铁道出版社,1993
[21]朱丽敏,双钢筋混凝土夹芯双向板抗弯性能试验研究及有限元分析,天津大学硕士学位论文,2004
[22] W.F.chen,土木工程材料的本构方程(第二卷塑性与建模)(余天庆等译),武汉:华中科技大学出版社,2001
[23]陈惠法[美]等著,余天庆等编译,混凝土和土的本构方程,北京:中国建筑工业出版社,2004
[24]吕西林,金国芳,吴晓涵,钢筋混凝土结构非线性有限元理论与应用,上海:同济大学出版社,1999
[25]毕继红,王晖,工程弹塑性力学,天津:天津大学出版社,2003
[26]刘相新,孟宪熙,ANSYS基础与应用教程,北京:中国建筑工业出版社,2006
[27]刘涛,杨凤鹏,精通ANSYS,北京:中国建筑工业出版社,2001
[28]杜剑,预应力混凝土双向叠合板拼缝搭接试验研究,天津大学硕士学位论文, 2007
[29]祝效华,余志祥,ANSYS高级工程有限元分析范例精选,北京:电子工业出版社,2004
[30]郝文化,叶裕明,刘春山等,ANSYS土木工程应用实例,北京:中国水利水电出版社,2004
[31]岳建伟,槽形芯板预应力叠合板试验与应用研究,天津大学硕士学位论文,2002
[32] Bergan PG, HolandI, Nonlinear Finite Element Analysis of Concrete structures, Computer Methods In Applied Mechanics and Engineering, 1979, 17/18: P443~467
[33] Argyris, JH, Faust G, limit load Analysis of Thick-walled concrete structures-A Finite element Approach to fracture, computer Methods in Applied mechanics and engineering, North-Houand.co, 1976(8). 215~243
[34]刘康,混凝土灌芯纤维增强石膏板抗震性能的试验研究及有限元分析,天津大学硕士学位论文,2003
[35]预应力混凝土叠合梁科研组,预应力混凝土矩形截面叠合梁挠度试验研究及计算方法,武汉水电学院等, 1981
[36]天津大学,同济大学,东南大学等,钢筋混凝土结构(上),北京:中国建筑工业出版社,2002
[37]周鲲鹏,吴方伯,四边简支矩形单向预应力双向叠合板的弹性设计方法,邵阳学院学报,第3卷,第1期:2006
[38]S.铁摩辛柯,S.沃诺斯基著,板壳理论,北京:科学出版社,1977,P110~115
[39]曲庆璋等,弹性薄板理论,北京:人民交通出版社,2000
[40]R.Szilard.著,陈太平等译,板的理论和分析,北京:中国铁路出版社,1984
[2]周旺华,现代混凝土叠合结构,北京:中国建筑工业出版社,1982
[3]朱伯龙,装配整体式密肋楼板的理论及试验研究,同济大学科技情报站,1961
[4]TJ10—74,钢筋混凝土结构设计规范,北京:中国建筑工业出版社,1974
[5]天津大学,同济大学,南京工学院,钢筋混凝土结构(下),北京:中国建筑工业出版社,1980
[6]聂建国等,钢—混叠合板组合梁在连体结构工程中的应用,建筑结构,2002(4):24~26
[7]沈春祥,预应力混凝土双向叠合板试验研究,天津大学硕士学位论文, 2005
[8]中华人民共和国国家标准,混凝土结构试验方法标准(GB50512—92),北京:中国建筑工业出版社,1992
[9]R.派克W.L根勃尔著,黄国桢,成源华译,钢筋混凝土板,上海:同济大学出版社,1991
[10]徐天爽,徐有邻,双向叠合板拼缝传力性能的试验研究,建筑科学,2003.12(6):11~14
[11]中华人民共和国国家标准,混凝土结构设计规范(GB500010-2002),北京:中国建筑工业出版社,2002
[12]蓝宗建,混凝土结构设计原理:《混凝土结构设计规范》(GB50010—2002)学习和应用指南,南京:东南大学出版社,2002
[13]Dary1L.Lvogan著,伍义生,吴永礼等译,有限元方法基础教程,北京:电子工业出版社,2003
[14]江见鲸,陆新征,叶列平,混凝土结构有限元分析,北京:清华大学出版社,2005
[15] Scordris, A. C. et all, Finite Element Analysis of Reinforced Beam. ACI Journal. VOL. 64, March. 1967
[16] Nisson,Arthur H, Nonlinear Analysis of Reinforced Concrete by the Finite Element Method, ACI Journal, VOL.65,september.1968
[17] Franklin, H. A, Nonlinear Analysis of Reinforced Concrete Frames and Panels, ph. D. Dissertation, Division of Structure Engineering and Structure Mechanics, university of California, Berkeley, March. 1970
[18] Zienkiewiez, O, Owen. D. R. H. Philios, D. V. and Nyak G. G, Finite Element Method in Analysis of Reactor vessels, Nuclear Engineering and Design, 20(1972)
[19] Darwin, D. and Pecknold, D, A. Aanlysis of RC shear Panels. Under cyclic loading, J.of structure Division, VOL.102, no.ST2, februrary, 1976.
[20]董哲仁,钢筋混凝土有限元法原理与应用,北京:中国铁道出版社,1993
[21]朱丽敏,双钢筋混凝土夹芯双向板抗弯性能试验研究及有限元分析,天津大学硕士学位论文,2004
[22] W.F.chen,土木工程材料的本构方程(第二卷塑性与建模)(余天庆等译),武汉:华中科技大学出版社,2001
[23]陈惠法[美]等著,余天庆等编译,混凝土和土的本构方程,北京:中国建筑工业出版社,2004
[24]吕西林,金国芳,吴晓涵,钢筋混凝土结构非线性有限元理论与应用,上海:同济大学出版社,1999
[25]毕继红,王晖,工程弹塑性力学,天津:天津大学出版社,2003
[26]刘相新,孟宪熙,ANSYS基础与应用教程,北京:中国建筑工业出版社,2006
[27]刘涛,杨凤鹏,精通ANSYS,北京:中国建筑工业出版社,2001
[28]杜剑,预应力混凝土双向叠合板拼缝搭接试验研究,天津大学硕士学位论文, 2007
[29]祝效华,余志祥,ANSYS高级工程有限元分析范例精选,北京:电子工业出版社,2004
[30]郝文化,叶裕明,刘春山等,ANSYS土木工程应用实例,北京:中国水利水电出版社,2004
[31]岳建伟,槽形芯板预应力叠合板试验与应用研究,天津大学硕士学位论文,2002
[32] Bergan PG, HolandI, Nonlinear Finite Element Analysis of Concrete structures, Computer Methods In Applied Mechanics and Engineering, 1979, 17/18: P443~467
[33] Argyris, JH, Faust G, limit load Analysis of Thick-walled concrete structures-A Finite element Approach to fracture, computer Methods in Applied mechanics and engineering, North-Houand.co, 1976(8). 215~243
[34]刘康,混凝土灌芯纤维增强石膏板抗震性能的试验研究及有限元分析,天津大学硕士学位论文,2003
[35]预应力混凝土叠合梁科研组,预应力混凝土矩形截面叠合梁挠度试验研究及计算方法,武汉水电学院等, 1981
[36]天津大学,同济大学,东南大学等,钢筋混凝土结构(上),北京:中国建筑工业出版社,2002
[37]周鲲鹏,吴方伯,四边简支矩形单向预应力双向叠合板的弹性设计方法,邵阳学院学报,第3卷,第1期:2006
[38]S.铁摩辛柯,S.沃诺斯基著,板壳理论,北京:科学出版社,1977,P110~115
[39]曲庆璋等,弹性薄板理论,北京:人民交通出版社,2000
[40]R.Szilard.著,陈太平等译,板的理论和分析,北京:中国铁路出版社,1984