斜靠式拱肋系侧倾失稳临界荷载计算方法
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摘要
该文以近年来发展起来的一种新型空间拱桥——斜靠式拱桥拱肋系为研究对象,基于最小势能原理,综合考虑斜靠式拱肋系主拱肋、稳定拱肋、主拱肋与稳定拱肋间横撑的变形能、作用于拱肋系的外力势能,首次推导出了斜靠式拱肋系侧倾失稳临界荷载的解析解,提出了斜靠式拱肋系侧倾失稳临界荷载的计算方法,并通过与有限元计算结果比较,证明了该文所提出计算方法的正确性。在此基础上研究了稳定拱肋倾角变化、及其侧向抗弯和抗扭刚度,主拱肋与稳定拱肋间横撑抗弯刚度对临界荷载的影响,研究结果表明稳定拱肋倾角和侧向抗弯刚度是控制斜靠式拱桥侧向稳定性的主要因素。
This paper focuses on the arch rib system of a leaning-type arch bridge which is a new type space arch bridge developed in recent years,the following investigation is carried out: Based on the principle of minimum potential,as well as the deformation energy of main ribs,stable ribs,the transverse brace between the main rib and stable rib,and the potential energy of an external force applied on the ribs system,the lateral buckling critical load of a leaning-type arch rib system is derived in this paper,by which the calculation method for the lateral buckling critical load is proposed.Compared with the results obtained from FEM results,it is verified that the method presented in this paper is accurate sufficiently.Furthermore,it is analyzed how those design parameters such as variation of incline angles,the lateral flexural rigidity and torsional rigidity of a stable rib and a transverse brace between the main rib,the stable rib influence on the lateral buckling critical load.The investigation shows that the incline angle and lateral flexural rigidity of stable rib are main factors to ensure the lateral buckling of a leaning-type arch rib system.
This paper focuses on the arch rib system of a leaning-type arch bridge which is a new type space arch bridge developed in recent years,the following investigation is carried out: Based on the principle of minimum potential,as well as the deformation energy of main ribs,stable ribs,the transverse brace between the main rib and stable rib,and the potential energy of an external force applied on the ribs system,the lateral buckling critical load of a leaning-type arch rib system is derived in this paper,by which the calculation method for the lateral buckling critical load is proposed.Compared with the results obtained from FEM results,it is verified that the method presented in this paper is accurate sufficiently.Furthermore,it is analyzed how those design parameters such as variation of incline angles,the lateral flexural rigidity and torsional rigidity of a stable rib and a transverse brace between the main rib,the stable rib influence on the lateral buckling critical load.The investigation shows that the incline angle and lateral flexural rigidity of stable rib are main factors to ensure the lateral buckling of a leaning-type arch rib system.
引文
[1]刘爱荣,禹奇才,宋瑞,张俊平.地震作用下斜靠式拱桥的动力稳定性[J].深圳大学学报,2010,27(3):286―290.Liu Airong,Yu Qicai,Song Rui,Zhang Junping.Dynamic stability of leaning-type arch bridge under earthquake[J].Journal of Shenzhen Science and Engineering,2010,27(3):286―290.(in Chinese)
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[3]Shen Fulin,Liu Airong,Song Rui,Yu Qicai.Study of seismic performance of leaning-type arch bridge[C].International Conference on Mechanic Automation and Control Engineering,2010:4809―4812.
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[7]钱莲萍,项海帆.空间拱桥结构侧倾稳定性的实用计算[J].同济大学学报,1989,17(2):161―172.Qian Lianping,Xiang Haifan.A practical method for lateral buckling analysis of arch bridges[J].Journal of Tongji University,1989,17(2):161―172.(in Chinese)
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[9]金伟良,赵国藩.X型双肋拱系的侧倾屈曲[J].土木工程学报,1989,22(2):44―45.Jin Weiliang,Zhao Guofan.Lateral buckling of X-type twin ribbed arch braced with transverse beams[J].China Civil Engineering Journal,1989,22(2):44―54.(in Chinese)
[10]刘钊,吕志涛.有横撑系杆拱桥的侧向稳定承载力[J].工程力学,2004,21(3):21―24,54.Liu Zhao,Lu Zhitao.Lateral buckling load of tied-arch bridges with transverse braces[J].Engineering Mechanics,2004,21(3):21―24,54.(in Chinese)
[11]李国豪.桥梁结构稳定与振动[M].北京:中国铁道出版社,1996.Li Guohao.Stability and vibrations of bridge structures[M].Beijing:China Railway Publishing House,1996.(in Chinese)
[2]刘爱荣,禹奇才,张俊平,王定文.斜拱肋倾角变化对斜靠式拱桥地震响应的影响[J].暨南大学学报,2010,31(3):268―272.Liu Airong,Yu Qicai,Zhang Junping,Wang Dingwen.Influence of variation of incline angle of inclined arch rib on the seismic response of leaning-type arch bridge[J].Journal of Jinan University,2010,31(3):268―272.(in Chinese)
[3]Shen Fulin,Liu Airong,Song Rui,Yu Qicai.Study of seismic performance of leaning-type arch bridge[C].International Conference on Mechanic Automation and Control Engineering,2010:4809―4812.
[4]陈淮,孙应桃.斜靠式拱桥拱肋倾角变化对稳定性能的影响[J].铁道科学与工程学报,2009,6(1):21―24.Chen Huai,Sun Yingtao.Variational sloping angle of arch rib influenced on the stability of double X-shaped arch bridge[J].China Journal of Railway Science and Engineering,2009,6(1):21―24.(in Chinese)
[5]陈淮,胡锋,申哲会,杨磊.斜靠式拱桥稳定性分析[J].福州大学学报,2005,33:182―186.Chen Huai,Hu Feng,Shen Zhehui,Yang Lei.Stability analysis of leaning-type arch bridge[J].Journal of Fuzhou University,2005,33:182―186.(in Chinese)
[6]谷定宇,陈淮,王艳,胡锋.潮州韩江北桥斜靠拱桥稳定性分析[J].公路交通科技,2006,23(3):100―103.Gu Dingyu,Chen Huai,Wang Yan,Hu Feng.Stability analysis of the Chaozhou Hanjiang River Northern leaning-type arch bridge[J].Journal of Highway and Transportation Research and Development,2006,23(3):100―103.(in Chinese)
[7]钱莲萍,项海帆.空间拱桥结构侧倾稳定性的实用计算[J].同济大学学报,1989,17(2):161―172.Qian Lianping,Xiang Haifan.A practical method for lateral buckling analysis of arch bridges[J].Journal of Tongji University,1989,17(2):161―172.(in Chinese)
[8]金伟良,顾淑兴,赵国藩.无横撑拱桥横向稳定性的研究[J].中国公路学报,1989,2(3):42―48.Jin Weiliang,Gu Shuxing,Zhao Guofan.The lateral stability of tied arch bridge without bracing beams[J].China Journal of Highway and Transport,1989,2(3):42―48.(in Chinese)
[9]金伟良,赵国藩.X型双肋拱系的侧倾屈曲[J].土木工程学报,1989,22(2):44―45.Jin Weiliang,Zhao Guofan.Lateral buckling of X-type twin ribbed arch braced with transverse beams[J].China Civil Engineering Journal,1989,22(2):44―54.(in Chinese)
[10]刘钊,吕志涛.有横撑系杆拱桥的侧向稳定承载力[J].工程力学,2004,21(3):21―24,54.Liu Zhao,Lu Zhitao.Lateral buckling load of tied-arch bridges with transverse braces[J].Engineering Mechanics,2004,21(3):21―24,54.(in Chinese)
[11]李国豪.桥梁结构稳定与振动[M].北京:中国铁道出版社,1996.Li Guohao.Stability and vibrations of bridge structures[M].Beijing:China Railway Publishing House,1996.(in Chinese)
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