两铰抛物线钢拱平面内非线性稳定分析
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摘要
拱是一种用途较为广泛的大跨结构形式,因拱的受力特性以受压为主,因此拱结构的稳定性就成为拱设计中的主要问题,本文就是要研究抛物线钢结构拱的平面内稳定问题。
拱的稳定性可以从其荷载—位移全过程曲线进行分析。结构的荷载—位移曲线可以准确的把结构强度、刚度以及稳定性的整个变化历程表示清楚,我们也可以通过荷载—位移曲线研究初始缺陷、跨度等因素对实际结构稳定性能的影响。
本文利用大型通用有限元分析程序ANSYS对抛物线实腹钢拱和钢桁架拱结构进行建模及几何、材料非线性稳定分析,画出了它们的内力和位移曲线,通过分析荷载—位移曲线,对拱的失稳形态和稳定性能进行了比较详尽的研究,对影响拱稳定性的多种因素进行了分析和总结,指出了影响抛物线钢拱稳定性的几个主要因素。
本文还研究了铰支抛物线实腹钢拱的极限承载力问题,考虑了跨度、矢跨比、材料非线性、杆件截面、拱轴线的初始弯曲对轴压拱承载力的影响,在此基础上建立了拱的稳定系数与正则化长细比的关系。
Arch is a form of long-span structure, which has more extensive use. The characteristics of arch in the force is press, so It is very important to analyze the characteristics of stability in design of the arches. The thesis studied the stability behavior of the steel arch.
The stability of the arch can be analyzed by load-displacement post buckling curve. Structure's load-displacement curve can display the whole stages of the strength stiffness and stability clearly. We can research other factors (such as initial shortage and span) having the influence on actual arch's stability through the load-displacement curve.
The paper models and geometrically nonlinear analysis the steel arch and trussed arched by ANSYS...a large-scale current finite element analytical program. The figures of inner and displacements are given. The unstable state and the stability of the arch has been fully researched by analyzing the load-displacement curve. Many stable factors having influence on the arch have been analyzed and concluded. Several main stable factors which have influence on arch have been pointed.
The thesis studied further the ultimate strengths of axially loaded pinned arches, considering the effects of span, ratio of high and span, initial crookedness, material nonlinear and sectional size. Stability factors for axially loaded pinned arches are provided. It is found that the relationship between the arch stability coefficient and the arch normalized slenderness ratio is established.
拱的稳定性可以从其荷载—位移全过程曲线进行分析。结构的荷载—位移曲线可以准确的把结构强度、刚度以及稳定性的整个变化历程表示清楚,我们也可以通过荷载—位移曲线研究初始缺陷、跨度等因素对实际结构稳定性能的影响。
本文利用大型通用有限元分析程序ANSYS对抛物线实腹钢拱和钢桁架拱结构进行建模及几何、材料非线性稳定分析,画出了它们的内力和位移曲线,通过分析荷载—位移曲线,对拱的失稳形态和稳定性能进行了比较详尽的研究,对影响拱稳定性的多种因素进行了分析和总结,指出了影响抛物线钢拱稳定性的几个主要因素。
本文还研究了铰支抛物线实腹钢拱的极限承载力问题,考虑了跨度、矢跨比、材料非线性、杆件截面、拱轴线的初始弯曲对轴压拱承载力的影响,在此基础上建立了拱的稳定系数与正则化长细比的关系。
Arch is a form of long-span structure, which has more extensive use. The characteristics of arch in the force is press, so It is very important to analyze the characteristics of stability in design of the arches. The thesis studied the stability behavior of the steel arch.
The stability of the arch can be analyzed by load-displacement post buckling curve. Structure's load-displacement curve can display the whole stages of the strength stiffness and stability clearly. We can research other factors (such as initial shortage and span) having the influence on actual arch's stability through the load-displacement curve.
The paper models and geometrically nonlinear analysis the steel arch and trussed arched by ANSYS...a large-scale current finite element analytical program. The figures of inner and displacements are given. The unstable state and the stability of the arch has been fully researched by analyzing the load-displacement curve. Many stable factors having influence on the arch have been analyzed and concluded. Several main stable factors which have influence on arch have been pointed.
The thesis studied further the ultimate strengths of axially loaded pinned arches, considering the effects of span, ratio of high and span, initial crookedness, material nonlinear and sectional size. Stability factors for axially loaded pinned arches are provided. It is found that the relationship between the arch stability coefficient and the arch normalized slenderness ratio is established.
引文
[1]沈世钊,陈昕.网壳结构稳定性[M].北京:科学出版社,1999
[2]程鹏.两铰圆弧拱非线性弯曲理论和弹塑性稳定[D].浙江大学博士论文,2005
[3]Timoshenko,S.P.,Gere,J.M.,Theory of elastic stability. McGraw-Hill Co., Inc, NewYork,1961
[4]Vlasov,VZ.,Thin walled elastic beams.2Ed. National Science Foundation, Washington, D.C.,1961
[5]Brush, Don O., Bo O. Almroth, Buckling of bars, plates, and shells.McGraw-Hill Co., Inc., NewYork.,1975
[6]Pi.Y.L, Bradford,M.A.B.Uy.,In-plane stability of arches[J], Int. j. solids&structures, 2002,39, 105-125
[7] Pi.Y.L, Ttahair, N.S., Non-linear buckling and postbuckling of elastic arches[J], Engrg. Struct., 1998,20(7),571-579
[8]Pi.Y.L, Ttahair, N.S., In-plane buckling and design of steel arches[J], J. Struct. Engrg., ASCE,1999, 125(11),1291-1298
[9]Bradford,M.A.,Uy,B.,Pi,Y.-L., In-Plane elastic stability of arches under a central concentrated load[J], Journal of Engnieering Mechanics v,2002,128(7) ASCE, 710-719
[10]黄李骥.腹板开洞工型截面拱的稳定性能及设计方法研究[D].清华大学博士论文,2005
[11]许强.薄壁曲梁线弹性理论和弹塑性稳定极限承载力分析[D].浙江大学博士论文,2002
[12]Austin,W.J.,In-Plnae bending and buckling of acrhes[J], J.struct.div,1971,ASCE,97(5),1575-1592
[13]Austin,W.J.,Ross,T.j., Elastic buckling of arches under symmetric lodaing[J], J.struct.div,1976,ASCE,102(5),1085-1095
[14]DaDeppo, D.A., and Schmidt, R., Sidesway buckling of deep circular arches and a concentrated load[J], 1969,J. Appl. mech., 6, 325-327
[15]Palani, GS. and Rajasekaran.S., Finite element analysis of curved beams made of composites[J], J.Struct. Engrg., 1992,ASCE, 118(8), 2039-2061.
[16]Elias,Z.M. and Chen,K.L., Nonlinear shallow curved-beam finite element[J], J.Struct.Mech.,1988, 114(6),1076-1087
[17]Wen,R.K. and Suhendro,B., Nonlinear curved beam element for arch structures[J], Vo1.7,725-735J.Struct.Engrg., 1991,ASCE, 117(11),3496-3515
[18]Raveendranath, P. Gajbir Singh, B.Pradhan, Free vibration of arches using a curved beam element based on a coupled polynomial displacement field[J], Computers and Structures,2000,78,583-590
[19]剧锦三.拱结构的稳定性研究[D].清华大学博士论文,2001
[20]剧锦三,郭彦林,刘玉擎.拱结构的弹性二次分岔屈曲性能[J].工程力学,2002,Vol.19,N.O8,109-112
[21]Coronfirth, R.C. and Childs, S.B., Computer analysis of two hinged circular arches[J], ASCE, J. Struct.Div., 1967,Vol. 93, No. ST'2, 319-338
[22]Kuranishi, S. and Yabuki, T, Some numerical estimation of ultimate in-plane streght of two hinged steel arches[J], Proc., Japan Soc. of Civ Engrs., Tokyo, Japan, 1979, No. 287, 155-158
[23]Chen, C.N., A finite element study on bifurcation and limit point buckling of elastic-plastic arches[J], Computers and Structures, 1996,Vol. 60, No.2, 189-196
[24]邱秀梅.腹板开洞工型截面拱的平面内弹性极限承载力研究[D].中国农业大学硕士论文,2005
[25]Trahair, N.S., Pi, YL., Clarke, M.J., and Papangelis, J.P., Plastic design of steel arches[J], Adv. In Struct.Engrg.,l(1).1-7, Multi-Sicence Publishing Co. Ltd., Essex, U.K.
[26]沈祖炎,张其林.薄壁钢构件非线性稳定问题的曲壳有限单元法.土木工程学报,1991,24(1),6~11
[27]邓可顺.有限元屈曲分析中的曲梁单元.大连理工大学学报,1989,29(2),1823
[28]Scholz, H., Contribution to the in-plane stability of shallow arches[J], Journal of Constructional Steel Research,1990,15(4), 287-302
[29]金伟良,赵国潘.箱型曲梁结构分析的广义位移方法.重庆交通学院学报,1990,9(3),26-33
[30]钟新谷,曾庆元,戴公连.单拱面预应力混凝土系肝拱极限承载力分析.工程力学,1999,16(5),8-16
[31]钟新谷,曾庆元.加权残值法在钢筋混凝土拱桥非线性有限元分析中的应用.计算力学学报,1999,16(4),473-477
[32]陕亮,蒋沧如.金属波纹拱支座刚度对其稳定承载力的影响.江汉石油学院学报,2002,24(2),109-110
[33]林冰,郭彦林,吕晶.钢拱平面内稳定性设计理论的研究现状[J].中国钢结构协会第五次全国会员代表大会暨学术年会论文集,2007,49-52
[34]林冰.钢拱平面内稳定性及稳定承载力设计方法研究[D]:清华大学,2007
[35]林冰,郭彦林,黄李骥.均匀受压两铰圆弧钢拱的平面内稳定设计曲线[J].工程力学
[36]林冰,郭彦林.实腹式等截面纯压钢拱的平面内弹性屈曲系数[J].建筑结构
[37]郭彦林,林冰,郭宇飞.焊接工字型截面抛物线拱平面内稳定承载力试验与理论研究[J].建筑结构学报
[38]林冰,郭彦林.纯压抛物线拱平面内稳定性及设计方法研究[J].建筑结构学报
[39]林冰,郭彦林.纯压圆弧拱平面内稳定性及设计方法研究[J].土木工程学报
[40]宋伯锉,姚坚.(1992)两铰弹性圆拱的静力稳定性分析[J].浙江大学学报(自然科学版),1992,voL26,No.5,536-543
[41]段海娟,秦容.拱式结构几何非线性分析的样条有限点法[J].西南交通大学学报,2000,VoL35,No.1,54-56
[42]张建民,秦容,郑皆连.拱式结构双重非线稳定性分析的样条有限点法[J].工程力学,2002,Vol.19,No.2,17-21
[43]强朝平.拱桥稳定性研究[D].长安大学硕士论文,2001
[44]陈绍蕃.钢结构稳定设计指南[M].北京:建筑工业出版社,2004
[45]陈绍蕃.钢结构设计原理[M].北京:科学出版社出版,1998
[46]陈骥.钢结构稳定理论与设计[M].北京:科学出版社出版,2001,4-5
[47]刘古岷,张若唏,张田申.应用结构稳定计算[M].北京:科学出版社出版,2004,272-273
[48]博嘉科技编著,有限元分析软件—ANSYS融会与贯通[M],中国水利水电出版社,2002年2月20日
[49]任重编著.ANSYS实用分析教程[M].北京大学出版社,2003年2月
[50]洪庆章,刘清吉,郭家源编著.ANSYS教学范例[M].中国铁道出版社,2002
[51]刘涛,杨凤鹏编著.精通ANSYS[M].清华大学出版社,2002
[52]江克斌,屠义强,邵飞编著.结构分析有限元原理及ANSYS实例[M].国防工业出版社,2005,193-196
[53]Crisfield, M.A., A fast incremental/iterative solusion that handles‘snap-through’[J], Computers and Structures, 1981,Vol. 13
[54]黄李骥.腹板开洞工形截面拱的稳定性能及设计方法研究[D].北京:清华大学,2005
[55]英金贵.单层球面网壳结构在地震作用下的动力稳定性研究[D].南昌大学硕士论文,2006
[56]中华人民共和国国家标准.钢结构设计规范GBJ50017-2003.北京:中国计划出版社,2003
[57]郭彦林,郭宇飞,盛和太.桁架拱结构的稳定性能及其应用[J].第十一届空间结构学术会议论文集,2005,260-265
[2]程鹏.两铰圆弧拱非线性弯曲理论和弹塑性稳定[D].浙江大学博士论文,2005
[3]Timoshenko,S.P.,Gere,J.M.,Theory of elastic stability. McGraw-Hill Co., Inc, NewYork,1961
[4]Vlasov,VZ.,Thin walled elastic beams.2Ed. National Science Foundation, Washington, D.C.,1961
[5]Brush, Don O., Bo O. Almroth, Buckling of bars, plates, and shells.McGraw-Hill Co., Inc., NewYork.,1975
[6]Pi.Y.L, Bradford,M.A.B.Uy.,In-plane stability of arches[J], Int. j. solids&structures, 2002,39, 105-125
[7] Pi.Y.L, Ttahair, N.S., Non-linear buckling and postbuckling of elastic arches[J], Engrg. Struct., 1998,20(7),571-579
[8]Pi.Y.L, Ttahair, N.S., In-plane buckling and design of steel arches[J], J. Struct. Engrg., ASCE,1999, 125(11),1291-1298
[9]Bradford,M.A.,Uy,B.,Pi,Y.-L., In-Plane elastic stability of arches under a central concentrated load[J], Journal of Engnieering Mechanics v,2002,128(7) ASCE, 710-719
[10]黄李骥.腹板开洞工型截面拱的稳定性能及设计方法研究[D].清华大学博士论文,2005
[11]许强.薄壁曲梁线弹性理论和弹塑性稳定极限承载力分析[D].浙江大学博士论文,2002
[12]Austin,W.J.,In-Plnae bending and buckling of acrhes[J], J.struct.div,1971,ASCE,97(5),1575-1592
[13]Austin,W.J.,Ross,T.j., Elastic buckling of arches under symmetric lodaing[J], J.struct.div,1976,ASCE,102(5),1085-1095
[14]DaDeppo, D.A., and Schmidt, R., Sidesway buckling of deep circular arches and a concentrated load[J], 1969,J. Appl. mech., 6, 325-327
[15]Palani, GS. and Rajasekaran.S., Finite element analysis of curved beams made of composites[J], J.Struct. Engrg., 1992,ASCE, 118(8), 2039-2061.
[16]Elias,Z.M. and Chen,K.L., Nonlinear shallow curved-beam finite element[J], J.Struct.Mech.,1988, 114(6),1076-1087
[17]Wen,R.K. and Suhendro,B., Nonlinear curved beam element for arch structures[J], Vo1.7,725-735J.Struct.Engrg., 1991,ASCE, 117(11),3496-3515
[18]Raveendranath, P. Gajbir Singh, B.Pradhan, Free vibration of arches using a curved beam element based on a coupled polynomial displacement field[J], Computers and Structures,2000,78,583-590
[19]剧锦三.拱结构的稳定性研究[D].清华大学博士论文,2001
[20]剧锦三,郭彦林,刘玉擎.拱结构的弹性二次分岔屈曲性能[J].工程力学,2002,Vol.19,N.O8,109-112
[21]Coronfirth, R.C. and Childs, S.B., Computer analysis of two hinged circular arches[J], ASCE, J. Struct.Div., 1967,Vol. 93, No. ST'2, 319-338
[22]Kuranishi, S. and Yabuki, T, Some numerical estimation of ultimate in-plane streght of two hinged steel arches[J], Proc., Japan Soc. of Civ Engrs., Tokyo, Japan, 1979, No. 287, 155-158
[23]Chen, C.N., A finite element study on bifurcation and limit point buckling of elastic-plastic arches[J], Computers and Structures, 1996,Vol. 60, No.2, 189-196
[24]邱秀梅.腹板开洞工型截面拱的平面内弹性极限承载力研究[D].中国农业大学硕士论文,2005
[25]Trahair, N.S., Pi, YL., Clarke, M.J., and Papangelis, J.P., Plastic design of steel arches[J], Adv. In Struct.Engrg.,l(1).1-7, Multi-Sicence Publishing Co. Ltd., Essex, U.K.
[26]沈祖炎,张其林.薄壁钢构件非线性稳定问题的曲壳有限单元法.土木工程学报,1991,24(1),6~11
[27]邓可顺.有限元屈曲分析中的曲梁单元.大连理工大学学报,1989,29(2),1823
[28]Scholz, H., Contribution to the in-plane stability of shallow arches[J], Journal of Constructional Steel Research,1990,15(4), 287-302
[29]金伟良,赵国潘.箱型曲梁结构分析的广义位移方法.重庆交通学院学报,1990,9(3),26-33
[30]钟新谷,曾庆元,戴公连.单拱面预应力混凝土系肝拱极限承载力分析.工程力学,1999,16(5),8-16
[31]钟新谷,曾庆元.加权残值法在钢筋混凝土拱桥非线性有限元分析中的应用.计算力学学报,1999,16(4),473-477
[32]陕亮,蒋沧如.金属波纹拱支座刚度对其稳定承载力的影响.江汉石油学院学报,2002,24(2),109-110
[33]林冰,郭彦林,吕晶.钢拱平面内稳定性设计理论的研究现状[J].中国钢结构协会第五次全国会员代表大会暨学术年会论文集,2007,49-52
[34]林冰.钢拱平面内稳定性及稳定承载力设计方法研究[D]:清华大学,2007
[35]林冰,郭彦林,黄李骥.均匀受压两铰圆弧钢拱的平面内稳定设计曲线[J].工程力学
[36]林冰,郭彦林.实腹式等截面纯压钢拱的平面内弹性屈曲系数[J].建筑结构
[37]郭彦林,林冰,郭宇飞.焊接工字型截面抛物线拱平面内稳定承载力试验与理论研究[J].建筑结构学报
[38]林冰,郭彦林.纯压抛物线拱平面内稳定性及设计方法研究[J].建筑结构学报
[39]林冰,郭彦林.纯压圆弧拱平面内稳定性及设计方法研究[J].土木工程学报
[40]宋伯锉,姚坚.(1992)两铰弹性圆拱的静力稳定性分析[J].浙江大学学报(自然科学版),1992,voL26,No.5,536-543
[41]段海娟,秦容.拱式结构几何非线性分析的样条有限点法[J].西南交通大学学报,2000,VoL35,No.1,54-56
[42]张建民,秦容,郑皆连.拱式结构双重非线稳定性分析的样条有限点法[J].工程力学,2002,Vol.19,No.2,17-21
[43]强朝平.拱桥稳定性研究[D].长安大学硕士论文,2001
[44]陈绍蕃.钢结构稳定设计指南[M].北京:建筑工业出版社,2004
[45]陈绍蕃.钢结构设计原理[M].北京:科学出版社出版,1998
[46]陈骥.钢结构稳定理论与设计[M].北京:科学出版社出版,2001,4-5
[47]刘古岷,张若唏,张田申.应用结构稳定计算[M].北京:科学出版社出版,2004,272-273
[48]博嘉科技编著,有限元分析软件—ANSYS融会与贯通[M],中国水利水电出版社,2002年2月20日
[49]任重编著.ANSYS实用分析教程[M].北京大学出版社,2003年2月
[50]洪庆章,刘清吉,郭家源编著.ANSYS教学范例[M].中国铁道出版社,2002
[51]刘涛,杨凤鹏编著.精通ANSYS[M].清华大学出版社,2002
[52]江克斌,屠义强,邵飞编著.结构分析有限元原理及ANSYS实例[M].国防工业出版社,2005,193-196
[53]Crisfield, M.A., A fast incremental/iterative solusion that handles‘snap-through’[J], Computers and Structures, 1981,Vol. 13
[54]黄李骥.腹板开洞工形截面拱的稳定性能及设计方法研究[D].北京:清华大学,2005
[55]英金贵.单层球面网壳结构在地震作用下的动力稳定性研究[D].南昌大学硕士论文,2006
[56]中华人民共和国国家标准.钢结构设计规范GBJ50017-2003.北京:中国计划出版社,2003
[57]郭彦林,郭宇飞,盛和太.桁架拱结构的稳定性能及其应用[J].第十一届空间结构学术会议论文集,2005,260-265
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