[1]刘健新,马麟,胡庆安..薄壁箱梁振动时的剪力滞效应[J].郑州大学学报(工学版),2008,29(03):122-125.[doi:10.3969/j.issn.1671-6833.2008.03.031]
　LIU Jianxin,Ma Lin,Hu Qingan.Shear hysteresis effect when thin-walled box girder vibrates[J].Journal of Zhengzhou University (Engineering Science),2008,29(03):122-125.[doi:10.3969/j.issn.1671-6833.2008.03.031]

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薄壁箱梁振动时的剪力滞效应()

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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

29

期数:

2008年03期

页码:

122-125

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

Shear hysteresis effect when thin-walled box girder vibrates

作者:

刘健新; 马麟; 胡庆安.

长安大学,风洞实验室,陕西,西安,710064, 长安大学,风洞实验室,陕西,西安,710064, 长安大学,风洞实验室,陕西,西安,710064

Author(s):

LIU Jianxin; Ma Lin; Hu Qingan

关键词:

箱梁;  剪力滞后;  振动;  变分;  差分法

Keywords:

box girder;  shear hysteresis;  vibration;  variation;  Difference method

DOI:

10.3969/j.issn.1671-6833.2008.03.031

文献标志码:

A

摘要:

提出了薄壁箱梁强迫振动剪力滞效应分析的理论方法.用变分原理推导了考虑剪力滞效应的箱梁强迫振动时的微分方程、边界条件,建立了方程解的差分格式,论证了差分格式的稳定性、收敛性,并用Matlab编程实现.在数值求解时由于梁的竖向位移和反映剪力滞的翼板纵向最大位移差函数之间存在耦合,有限元法中必要的假设形函数反映不出耦合关系,所以采用了适应性更强的有限差分法.结果表明,薄壁箱梁振动时剪力滞效应是明显的,使跨中位移响应和上翼板与腹板交接处应力响应幅值明显增大.

Abstract:

A theoretical method for the analysis of forced vibration shear hysteresis of thin-walled box girder is proposed. The differential equation and boundary conditions of forced vibration of box girder considering the shear hysteresis effect are derived by variational principle, the differential format of the equation solution is established, the stability and convergence of the differential format are demonstrated, and the Matlab programming is used. In the numerical solution, due to the coupling between the vertical displacement of the beam and the longitudinal maximum displacement difference function of the wing plate reflecting the shear hysteresis, the necessary hypothetical shape function in the finite element method cannot reflect the coupling relationship, so the finite difference method with stronger adaptability is adopted. The results show that the shear hysteresis effect is obvious when the thin-walled box girder vibrates, which significantly increases the amplitude of the mid-span displacement response and the stress response at the junction of the upper wing plate and the web.

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