预应力混凝土梁桥自振特性分析
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摘要
建立双折线预应力钢筋混凝土等直梁的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,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,得到了梁在不同预应力时梁桥的自振频率曲线。
The differential equations of forced vibration of the beam are established. The transversal vibration behaviors of the prestressed concrete beam are analyzed. The natural frequency and dynamic responses of the beam under prestressed force and moving load are obtained by decoupling and resolving the differential equations. The relationship between natural frequency and prestressed force or eccentricity is discussed. The analytic solution of since the frequency of vibration of the beam are obtained, and the comparison between dynamical effects whether considering the prestressed force is revealed by example.
The differential equations of forced vibration of the beam are established. The transversal vibration behaviors of the prestressed concrete beam are analyzed. The natural frequency and dynamic responses of the beam under prestressed force and moving load are obtained by decoupling and resolving the differential equations. The relationship between natural frequency and prestressed force or eccentricity is discussed. The analytic solution of since the frequency of vibration of the beam are obtained, and the comparison between dynamical effects whether considering the prestressed force is revealed by example.
引文
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[3]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.
[4]Ayaho Miyamoto.Behavior of Prestressed Beam Streng-thened with External Tendons[J].Journal of StructuralEngneering,2000,126(9):1033-1044.
[5]张耀庭,张长跑.体外预应力简支混凝土梁基频的理论与实验研究[J].华中科技大学学报,2006,22(1):13-15.
[6]张耀庭.体外预应力梁自振频率的理论与实验研究[J].铁道工程学报,2005,86(2):34-37.
[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]熊学玉.体外预应力结构设计[M].北京:中国建筑工业出版社,2005.
[9]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(2):2155-2163.
[10]李国豪.桥梁结构稳定与振动[M].北京:中国铁道出版社,1992.
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[13]杨茀康,李家宝.结构力学[M].北京:高等教育出版社,1998.
[2]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.
[3]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.
[4]Ayaho Miyamoto.Behavior of Prestressed Beam Streng-thened with External Tendons[J].Journal of StructuralEngneering,2000,126(9):1033-1044.
[5]张耀庭,张长跑.体外预应力简支混凝土梁基频的理论与实验研究[J].华中科技大学学报,2006,22(1):13-15.
[6]张耀庭.体外预应力梁自振频率的理论与实验研究[J].铁道工程学报,2005,86(2):34-37.
[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]熊学玉.体外预应力结构设计[M].北京:中国建筑工业出版社,2005.
[9]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(2):2155-2163.
[10]李国豪.桥梁结构稳定与振动[M].北京:中国铁道出版社,1992.
[11]宋一凡.公路桥梁动力学[M].北京:人民交通出版社,2000.
[12]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.
[13]杨茀康,李家宝.结构力学[M].北京:高等教育出版社,1998.
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