薄壁梁桥的自振特性研究
摘要
本文在薄壁梁截面上采用线性插值函数来描述截面各点的纵向位移;基于哈密顿对偶体系,考虑薄壁梁的剪力滞后效应,导出薄壁梁自振特性的哈密顿方程;采用两端边值问题的精细积分法,确定方程的高精度数值解。
The linear interpolation was applied to describe the longitudinal displacement of the cross- section points in the cross- section. The Hamilton equation of the structure Natural vibration frequency of the thin- walled beam under considering the shear lag effect is derived based on the Hamilton dual system. The precise integration method is used to determine the high precise numerical solution of the equation.
The linear interpolation was applied to describe the longitudinal displacement of the cross- section points in the cross- section. The Hamilton equation of the structure Natural vibration frequency of the thin- walled beam under considering the shear lag effect is derived based on the Hamilton dual system. The precise integration method is used to determine the high precise numerical solution of the equation.
引文
[1]Song Q G,Scordelis A C.Shear lag analysis of T-,I-,and box beams[J].Struct.Engrg.,ASCE,1990a,116 (5 ):1290-130.
[2]Luo Q Z,Li Q S,Tang J.Shear lag in box girders bridges[J].Journal of Bridge Engineering,ASCE,2002,7(5):308-313.
[3]甘亚南,李庆华.剪力滞后效应对固支及悬臂箱梁自振特性影响的研究[J].焦作工学院学报(自然科学版),2004∶23(1):55-58.
[4]包世华,周坚.薄壁杆件结构力学[M].北京:中国建筑工业出版社,1991.
[5]胡启平,涂佳黄,梁经群.组合断面薄壁杆件弯扭耦合分析[J].工程力学,2010,27(7):52-55.
[6]钟万勰.应用力学辛数学方法[M].北京:高等教育出版社,2006.
[7]钟万勰.应用力学对偶体系[M].北京:科学出版社,2002.
[2]Luo Q Z,Li Q S,Tang J.Shear lag in box girders bridges[J].Journal of Bridge Engineering,ASCE,2002,7(5):308-313.
[3]甘亚南,李庆华.剪力滞后效应对固支及悬臂箱梁自振特性影响的研究[J].焦作工学院学报(自然科学版),2004∶23(1):55-58.
[4]包世华,周坚.薄壁杆件结构力学[M].北京:中国建筑工业出版社,1991.
[5]胡启平,涂佳黄,梁经群.组合断面薄壁杆件弯扭耦合分析[J].工程力学,2010,27(7):52-55.
[6]钟万勰.应用力学辛数学方法[M].北京:高等教育出版社,2006.
[7]钟万勰.应用力学对偶体系[M].北京:科学出版社,2002.