预应力混凝土梁桥在移动荷载作用下的动力响应分析
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摘要
建立预应力钢筋混凝土等直梁强迫振动的运动微分方程,分析了梁在预应力钢筋作用下的横向振动问题。将运动微分方程解耦,得到梁在预应力作用下自振频率的解析解以及梁振动时的动力响应。分析了梁的自振频率与预应力和偏心距的关系。通过实例计算,得到了关于不同速度移动荷载车辆作用下梁的动力挠度曲线,并给出了考虑预应力和不考虑预应力时梁的动力效应比较。结果表明:随着车辆荷载移动速度的增大,梁的动力挠度随之增大;考虑预应力时梁的动力效应略有降低。
A prestressed concrete beam under moving load is considered. The differential equations of forced vibration of the beam are established, the transversal vibration behaviors are analyzed. The natural frequency and dynamic responses of the beam under prestressed force and moving load are plotted, by decoupling and resolving the differential equations. The relationship between natural frequency and prestressed force or eccentricity is discussed. The dynamic deflection curves of the beam under moving loads at various speeds are plotted, and the comparison between dynamical effects whether considering the prestressed force is carried out.
A prestressed concrete beam under moving load is considered. The differential equations of forced vibration of the beam are established, the transversal vibration behaviors are analyzed. The natural frequency and dynamic responses of the beam under prestressed force and moving load are plotted, by decoupling and resolving the differential equations. The relationship between natural frequency and prestressed force or eccentricity is discussed. The dynamic deflection curves of the beam under moving loads at various speeds are plotted, and the comparison between dynamical effects whether considering the prestressed force is carried out.
引文
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[4]楼梦麟,洪婷婷.体外预应力梁动力特性的分析方法[J].同济大学学报,2006,34(10):1284-1288.
[5]Ayaho Miyamoto.Behavior of prestressed beamstrengthened with external tendons[J].Journal of Structural Engneering,2000,126(9):1033-1044.
[6]刘宏伟,张伟,庄惠平.预加力对梁的动力影响分析[J].黑龙江科技学院学报,2002,12(3):37-39.
[7]熊学玉,王寿生.体外预应力梁振动特性的分析与研究[J].地震工程与工程振动,2005,25(2):55-61.
[8]楼梦麟,洪婷婷.预应力梁横向振动分析的模态摄动方法[J].工程力学,2006,23(1):107-111.
[9]杨茀康,李家宝.结构力学[M].北京:高等教育出版社,1998.
[10]Alex Elias Zuniga.Analysis of a beam-column system under varying axial forces of elliptic type:the exact solution of Lame's equation[J].International Journal of Solids and Stuctures,2004,41:2155-2163.
[11]李国豪.桥梁结构稳定与振动[M].北京:中国铁道出版社,1992.
[12]宋一凡.公路桥梁动力学[M].北京:人民交通出版社,2000.
[2]徐栋,项海帆.体外预应力混凝土桥梁非线性分析[J].同济大学学报,2000,28(4):402-406.
[3]吕中荣,罗绍湘,刘济科.预应力对预应力梁振动的影响[J].中山大学学报,2006,45(2):119-121.
[4]楼梦麟,洪婷婷.体外预应力梁动力特性的分析方法[J].同济大学学报,2006,34(10):1284-1288.
[5]Ayaho Miyamoto.Behavior of prestressed beamstrengthened with external tendons[J].Journal of Structural Engneering,2000,126(9):1033-1044.
[6]刘宏伟,张伟,庄惠平.预加力对梁的动力影响分析[J].黑龙江科技学院学报,2002,12(3):37-39.
[7]熊学玉,王寿生.体外预应力梁振动特性的分析与研究[J].地震工程与工程振动,2005,25(2):55-61.
[8]楼梦麟,洪婷婷.预应力梁横向振动分析的模态摄动方法[J].工程力学,2006,23(1):107-111.
[9]杨茀康,李家宝.结构力学[M].北京:高等教育出版社,1998.
[10]Alex Elias Zuniga.Analysis of a beam-column system under varying axial forces of elliptic type:the exact solution of Lame's equation[J].International Journal of Solids and Stuctures,2004,41:2155-2163.
[11]李国豪.桥梁结构稳定与振动[M].北京:中国铁道出版社,1992.
[12]宋一凡.公路桥梁动力学[M].北京:人民交通出版社,2000.
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