帽形中间加劲肋的加劲性能研究
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摘要
在受压板件中设置中间加劲肋可以显著提高板件的弹性屈曲应力和极限承载能力，但是也使得板件的屈曲行为变得复杂。本文分别用分离加劲肋法和各向异性板法对纵向中间加劲板件的屈曲性能进行了理论分析，得到了屈曲应力和理论充分加劲刚度解析表达式。论文建立了有限条法分析模型，编制了有限条计算程序，用有限条法分析了帽形中间加劲板件的屈曲和帽形肋条的加劲性能。论文对帽形中间加劲肋的刚度、加劲肋的形状、尺寸和位置变化对中间加劲板件屈曲应力的影响作了分析研究。在分析基础上，论文给出了中间帽形加劲肋合理尺寸的建议，可供设计和修订设计规范参考。
The use of intermediate stiffeners in the compression plate may significantly increase elastic buckling stress and ultimate capacity of the plate. However, the behavior of the plate with intermediate stiffeners would be complicated. The discrete stiffener solution and orthotropic plate solution are used for analyzing the buckling behavior of intermediately stiffened plates theoretically in this paper. Thus, closed-form solution of critical buckling stress and required adequate stiffening rigidity of the stiffener is obtained. A program finite strip analysis model is formed and finite strip computer software is also made in this paper. The buckling behaviors of plates with flat-hat intermediate stiffener are analyzed by employing finite strip method. The effects for buckling stress of the changes of the stiffener rigidity, shape, dimension, as well as its location are analyzed in this thesis. On the basis of all these analyze, a reasonable dimension limitation for the flat-hat intermediate stiffener is given,
in order to provide reference for designs and the revising of design specification.
The use of intermediate stiffeners in the compression plate may significantly increase elastic buckling stress and ultimate capacity of the plate. However, the behavior of the plate with intermediate stiffeners would be complicated. The discrete stiffener solution and orthotropic plate solution are used for analyzing the buckling behavior of intermediately stiffened plates theoretically in this paper. Thus, closed-form solution of critical buckling stress and required adequate stiffening rigidity of the stiffener is obtained. A program finite strip analysis model is formed and finite strip computer software is also made in this paper. The buckling behaviors of plates with flat-hat intermediate stiffener are analyzed by employing finite strip method. The effects for buckling stress of the changes of the stiffener rigidity, shape, dimension, as well as its location are analyzed in this thesis. On the basis of all these analyze, a reasonable dimension limitation for the flat-hat intermediate stiffener is given,
in order to provide reference for designs and the revising of design specification.
引文
[1] 中华人民共和国《冷弯薄壁型钢结构技术规范》GB50018-2002．
[2] L.Euler,"De motu vibratorio tympanoruin",Novi Commentari Acad.Petropolit,10,1 776,pp.243-260．
[3] J.Bernoulli, "Essai theorique sur les vibrations de plaques elastiqucs rectangulaires et libres", Nova Acta. Petropolit., 5,1789,pp. 197-219．
[4] L.Navier,Bull.soc.Phil.Math., Paris.,1823．
[5] G.R.K.irchhoff,Vorlesungen uber matheinatische Physik. Mechanik (2ndedn),1877,pp.450
[6] Saint Verant,"discussion in theorie de 1． elsticite des corps solides", Clebsch,1883,pp.704．
[7] Von K.arman,Th.,Festigkeitsprobleme im Maschinenbau,Encycl.der math. wiss.,4,1910,pp.348-351．
[8] Marguerre,K.,Zur Theorie der gekrummter Platte grosser Fonnanderung, Proc.Fifth int.Congress appl.Mech.,1938,pp.93．
[9] Huber,M.T.,Die Grundlagen einer rationeller Berechnung der kreuzweise bewehrten Elsenbetonplatten. Zeitschr. Osterreichischen Ing.und Arch.Verein 66,1914,557．
[10] Rostovtev,G.G.,Calculation of a thin plate sheeting supported by rods,Tondy,Leningrad, Inst.Inzkenerov, Grazhdanskogo Vasdushnogo Flota,No.20,1940．
[11] Bryan,G.H.,On the stability of a plane plate under thrusts in its own plane, with application to the buckling of the sides of ships,Proc.London Math, soc, 22,1891,pp.54-67．
[12] Timoshenko,S.P.,Bull.Polytech.lnst,K.iev.(in Russian),Published later as: Enginee Stabilityatstheorie. Zeitsch.Fur Math.und Physick,1910, pp.337-85．
[13] Timoshenko, S.P.,Under die Stabilitat versteifterPlatten,Der Eisenbau,12, 1921,pp. 147-63．
[14] Bleich,F.,Buckling Strength of Metal Structures,McGraw-Hill,New York, 1952．
[15] Kloppel,E.K.and Schher,J.,Beulwerte ausgesteifter Rechteckplatten,vol.1,W.Emst,Berlin,1960．
[16] Troisky,M.S.,Stiffened plates-bending,stability,and vibrations,Elsevier Scientific Publishing Co., 1976
[17] Barbre,R.,Beulspannungcn in Rechteckplatten mit Langsteifen bei glaichmassiger Druckbeanspruchung,Der Bauingenieur, 17,1936,268．
[18] Cox,H.Land Riddcll,J.R.,Buckling of a longitudinal stiffened panel,Aer. Quarterly,1 ,1949．
[19] Seide,P.,The effect of longitudinal stiffeners located on one side of a plate on the compressive bucklingstress of the plate-stiffener combination,NACA TN No.2873,Lanley Aeronautical Laboratory,Washington,USA, 1953．
[20] Desmond,T.P..The behavior and strength of thin-walled compression members with longitudinal stiffeners,
Dept. Struct. Engng Report No.369, Cornell University, USA, 1977.
[21] Scher, B.W. and Pekoz,T.,Cold-Formed Steel Members with Multiple Longitudinal Intermediate Stiffeners,J. Struct. Eng., Vol. 124,No. 10,1998,pp. 1175- 81.
[22] Desmond. T.P. et al,Intermediate Stiffeners for Thin-walled Members,J.of the Struct. Div ASCE, 107,ST4, 1981 ,PP. 627-48.
[23] Hoon,K.H.,Rhodes,J.and Seah L.K.,Tests on Intermediately Stiffened Plate Elements and Beam Compression Elements, Thin-walled Structures 16(1993), pp. 111-43.
[24] Bernard,E.S.,Bridge,R.Q.and Hancock,G.J.,Tests Of Profiled Steel Decks with V-Stiffeners,J. Struct. Eng., Vol. 119, No.8, 1993,pp.2277-93.
[25] Bernard, E.S.,Bridge,R.Q.and Hancock,G.J.,Tests Of Profiled Steel Decks with Flat-hat Stiffeners, J. Struct. Eng.,Vol. 121, No. 8,1995,pp. 1175-82.
[26] Bernard,E.S.,Bridge,R.Q.and Hancock,G.J.,Design Methods for profiled Steel decks with intermediate Stiffeners, J.Construct. Steel Res. Vol.38, No. 1,1996,pp.61-88.
[27] Long-yuan Li and Peter Bettess,Buckling of stiffened plates and design of stiffeners Int. J.Pres. Ves.&Piping 74(1997) pp. 177-87.
[28] Jeom Kee Paik and Bong Ju Kim,Ultimate strength formulations for stiffened panels under combined axial load,in—plane bending and lateral pressure:a benchmark study, Thin-Walled Structures 40(2002),pp.45-83.
[29] Zhong Tao,Liaoyuan Ye,Baokang He, Single-wave Buckling Under Combined Loading Using Complex Finite Strip Method with Bubble Function for Plate Structures, Theories and Application of Structural Engineering, Editor by Ye Liaoyuan,Yunnan Science & Technology Press,2000,pp640-48.
[30] 郭彦林，陈绍蕃，冷弯薄壁槽钢短柱局部屈曲后相关作用的弹塑性分析，土木工程学报，Vol．23,No．3，1990,pp．36-46。
[31] 郭彦林，陈绍蕃，冷弯薄壁型钢柱局部和整体稳定相关作用的理论和试验研究，土木工程学报，Vol．24,No．1，1991。
[32] 周绪红，开口薄壁型钢压弯构件中板件屈曲后性能与板组屈曲后相关作用的研究，湖南大学博士学位论文，1992。
[33] 孙祖龙，高轩能等，冷弯薄壁槽形截面受压构件板组稳定性及屈曲后强度研究的总结报告，南昌大学土木系钢结构研究所，1997。
[24] 陶忠，腹板中间V形加劲卷边槽钢柱单波型和多波型相关屈曲性能分析和试验研究，西安建筑科技大学博士论文，2000。
[35] 陈绍蕃，钢结构设计原理(第二版)，科学出版社，1998。
[36] 陈骥，钢结构稳定理论与应用，科学出版社，2001。
[37] Y.K. Cheung, Finite Strip Method in Structural Analysis, 1976.
[38] 谢秀松等译，结构分析的有限条分法(第二版)，人民交通出版社，1985。
[39] R.J. Plank and W.H. Wittrick, Buckling under Combined Loading of Thin Fiat-Walled Structures by A Complex Finite Strip Method, International Journal for Numerical Methods in Engineering,Vol. 8, 323--339, 1974.
[40] Peter W. Key and G.J. Hancock: A Finite Strip Method for the Elastic-Plastic Large Displacement Analysis of Thin-Walled and Cold-Formed Steel Sections, Thin-Walled Structures, 16 (1993) pp.3--29.
[41] Irving,Shames and Clivel,Energy and Finite Element Methods in Structure Mechanics, 1985.
[42] Dayawansa P.H.and Murray N.W.,theoretical investigation on the behavior of a plate strip undergoing local and global deformation, Thin-Walled Structures, 9 (1990) pp. 199-240.
[43] 谭浩强,FORTRAN77结构化程序设计，清华大学出版社，1992。
[44] 钟元珞，赵冬，有限单元法及程序设计，陕西科学技术出版社，1997。
[45] 王海忠，夹芯板的冷弯薄壁型钢面层板在泡沫芯层支承下的屈曲性能研究，西安建筑科技大学博士论文，2001。
[46] 杨绊池，崔荣泉，曲小刚，计算方法，陕西科学技术出版社，1996。
[47] Timoshenko,S.P.and Gere J.M.,Theory of elastic stability, McGraw- Hill,Kogakusha,1961.
[48] 唐家祥，王仕统，裴若娟，结构稳定理论，中国铁道出版社，1989。
[49] 何福保等，板壳理论，西安交通大学出版社，1993。
[50] 吴连元，板壳理论，上海交通大学出版社，1989。
[2] L.Euler,"De motu vibratorio tympanoruin",Novi Commentari Acad.Petropolit,10,1 776,pp.243-260．
[3] J.Bernoulli, "Essai theorique sur les vibrations de plaques elastiqucs rectangulaires et libres", Nova Acta. Petropolit., 5,1789,pp. 197-219．
[4] L.Navier,Bull.soc.Phil.Math., Paris.,1823．
[5] G.R.K.irchhoff,Vorlesungen uber matheinatische Physik. Mechanik (2ndedn),1877,pp.450
[6] Saint Verant,"discussion in theorie de 1． elsticite des corps solides", Clebsch,1883,pp.704．
[7] Von K.arman,Th.,Festigkeitsprobleme im Maschinenbau,Encycl.der math. wiss.,4,1910,pp.348-351．
[8] Marguerre,K.,Zur Theorie der gekrummter Platte grosser Fonnanderung, Proc.Fifth int.Congress appl.Mech.,1938,pp.93．
[9] Huber,M.T.,Die Grundlagen einer rationeller Berechnung der kreuzweise bewehrten Elsenbetonplatten. Zeitschr. Osterreichischen Ing.und Arch.Verein 66,1914,557．
[10] Rostovtev,G.G.,Calculation of a thin plate sheeting supported by rods,Tondy,Leningrad, Inst.Inzkenerov, Grazhdanskogo Vasdushnogo Flota,No.20,1940．
[11] Bryan,G.H.,On the stability of a plane plate under thrusts in its own plane, with application to the buckling of the sides of ships,Proc.London Math, soc, 22,1891,pp.54-67．
[12] Timoshenko,S.P.,Bull.Polytech.lnst,K.iev.(in Russian),Published later as: Enginee Stabilityatstheorie. Zeitsch.Fur Math.und Physick,1910, pp.337-85．
[13] Timoshenko, S.P.,Under die Stabilitat versteifterPlatten,Der Eisenbau,12, 1921,pp. 147-63．
[14] Bleich,F.,Buckling Strength of Metal Structures,McGraw-Hill,New York, 1952．
[15] Kloppel,E.K.and Schher,J.,Beulwerte ausgesteifter Rechteckplatten,vol.1,W.Emst,Berlin,1960．
[16] Troisky,M.S.,Stiffened plates-bending,stability,and vibrations,Elsevier Scientific Publishing Co., 1976
[17] Barbre,R.,Beulspannungcn in Rechteckplatten mit Langsteifen bei glaichmassiger Druckbeanspruchung,Der Bauingenieur, 17,1936,268．
[18] Cox,H.Land Riddcll,J.R.,Buckling of a longitudinal stiffened panel,Aer. Quarterly,1 ,1949．
[19] Seide,P.,The effect of longitudinal stiffeners located on one side of a plate on the compressive bucklingstress of the plate-stiffener combination,NACA TN No.2873,Lanley Aeronautical Laboratory,Washington,USA, 1953．
[20] Desmond,T.P..The behavior and strength of thin-walled compression members with longitudinal stiffeners,
Dept. Struct. Engng Report No.369, Cornell University, USA, 1977.
[21] Scher, B.W. and Pekoz,T.,Cold-Formed Steel Members with Multiple Longitudinal Intermediate Stiffeners,J. Struct. Eng., Vol. 124,No. 10,1998,pp. 1175- 81.
[22] Desmond. T.P. et al,Intermediate Stiffeners for Thin-walled Members,J.of the Struct. Div ASCE, 107,ST4, 1981 ,PP. 627-48.
[23] Hoon,K.H.,Rhodes,J.and Seah L.K.,Tests on Intermediately Stiffened Plate Elements and Beam Compression Elements, Thin-walled Structures 16(1993), pp. 111-43.
[24] Bernard,E.S.,Bridge,R.Q.and Hancock,G.J.,Tests Of Profiled Steel Decks with V-Stiffeners,J. Struct. Eng., Vol. 119, No.8, 1993,pp.2277-93.
[25] Bernard, E.S.,Bridge,R.Q.and Hancock,G.J.,Tests Of Profiled Steel Decks with Flat-hat Stiffeners, J. Struct. Eng.,Vol. 121, No. 8,1995,pp. 1175-82.
[26] Bernard,E.S.,Bridge,R.Q.and Hancock,G.J.,Design Methods for profiled Steel decks with intermediate Stiffeners, J.Construct. Steel Res. Vol.38, No. 1,1996,pp.61-88.
[27] Long-yuan Li and Peter Bettess,Buckling of stiffened plates and design of stiffeners Int. J.Pres. Ves.&Piping 74(1997) pp. 177-87.
[28] Jeom Kee Paik and Bong Ju Kim,Ultimate strength formulations for stiffened panels under combined axial load,in—plane bending and lateral pressure:a benchmark study, Thin-Walled Structures 40(2002),pp.45-83.
[29] Zhong Tao,Liaoyuan Ye,Baokang He, Single-wave Buckling Under Combined Loading Using Complex Finite Strip Method with Bubble Function for Plate Structures, Theories and Application of Structural Engineering, Editor by Ye Liaoyuan,Yunnan Science & Technology Press,2000,pp640-48.
[30] 郭彦林，陈绍蕃，冷弯薄壁槽钢短柱局部屈曲后相关作用的弹塑性分析，土木工程学报，Vol．23,No．3，1990,pp．36-46。
[31] 郭彦林，陈绍蕃，冷弯薄壁型钢柱局部和整体稳定相关作用的理论和试验研究，土木工程学报，Vol．24,No．1，1991。
[32] 周绪红，开口薄壁型钢压弯构件中板件屈曲后性能与板组屈曲后相关作用的研究，湖南大学博士学位论文，1992。
[33] 孙祖龙，高轩能等，冷弯薄壁槽形截面受压构件板组稳定性及屈曲后强度研究的总结报告，南昌大学土木系钢结构研究所，1997。
[24] 陶忠，腹板中间V形加劲卷边槽钢柱单波型和多波型相关屈曲性能分析和试验研究，西安建筑科技大学博士论文，2000。
[35] 陈绍蕃，钢结构设计原理(第二版)，科学出版社，1998。
[36] 陈骥，钢结构稳定理论与应用，科学出版社，2001。
[37] Y.K. Cheung, Finite Strip Method in Structural Analysis, 1976.
[38] 谢秀松等译，结构分析的有限条分法(第二版)，人民交通出版社，1985。
[39] R.J. Plank and W.H. Wittrick, Buckling under Combined Loading of Thin Fiat-Walled Structures by A Complex Finite Strip Method, International Journal for Numerical Methods in Engineering,Vol. 8, 323--339, 1974.
[40] Peter W. Key and G.J. Hancock: A Finite Strip Method for the Elastic-Plastic Large Displacement Analysis of Thin-Walled and Cold-Formed Steel Sections, Thin-Walled Structures, 16 (1993) pp.3--29.
[41] Irving,Shames and Clivel,Energy and Finite Element Methods in Structure Mechanics, 1985.
[42] Dayawansa P.H.and Murray N.W.,theoretical investigation on the behavior of a plate strip undergoing local and global deformation, Thin-Walled Structures, 9 (1990) pp. 199-240.
[43] 谭浩强,FORTRAN77结构化程序设计，清华大学出版社，1992。
[44] 钟元珞，赵冬，有限单元法及程序设计，陕西科学技术出版社，1997。
[45] 王海忠，夹芯板的冷弯薄壁型钢面层板在泡沫芯层支承下的屈曲性能研究，西安建筑科技大学博士论文，2001。
[46] 杨绊池，崔荣泉，曲小刚，计算方法，陕西科学技术出版社，1996。
[47] Timoshenko,S.P.and Gere J.M.,Theory of elastic stability, McGraw- Hill,Kogakusha,1961.
[48] 唐家祥，王仕统，裴若娟，结构稳定理论，中国铁道出版社，1989。
[49] 何福保等，板壳理论，西安交通大学出版社，1993。
[50] 吴连元，板壳理论，上海交通大学出版社，1989。