[1]张永健,黄平明..一种计入剪力滞及剪切变形效应的箱梁自振频率计算方法[J].郑州大学学报(工学版),2007,28(01):51-55.[doi:10.3969/j.issn.1671-6833.2007.01.013]
　ZHANG Yongjian,Huang Pingming.A method for calculating the self-resonance frequency of box girder taking into account the shear hysteresis and shear deformation effects[J].Journal of Zhengzhou University (Engineering Science),2007,28(01):51-55.[doi:10.3969/j.issn.1671-6833.2007.01.013]

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一种计入剪力滞及剪切变形效应的箱梁自振频率计算方法()

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

卷:

28

期数:

2007年01期

页码:

51-55

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

A method for calculating the self-resonance frequency of box girder taking into account the shear hysteresis and shear deformation effects

作者:

张永健; 黄平明.

长安大学桥,梁与隧道陕西省重点实验室,陕西,西安,710064, 长安大学桥,梁与隧道陕西省重点实验室,陕西,西安,710064

Author(s):

ZHANG Yongjian; Huang Pingming

关键词:

剪力滞后;  剪切变形;  简支箱梁;  固有振动;  变分原理

Keywords:

shear hysteresis;  shear deformation;  Simple support box girder;  natural vibration;  Variational principle

DOI:

10.3969/j.issn.1671-6833.2007.01.013

文献标志码:

A

摘要:

由于剪力滞效应及剪切变形的存在,箱梁的弯曲振动频率按照初等梁理论计算往往存在较大的误差.综合考虑箱梁的剪切变形及剪力滞效应,利用能量变分原理分析简支箱梁的自由振动,推导出考虑剪力滞效应及剪切变形的简支箱梁的各阶自振频率的解析解,较以前只能计算振动基频有所推广.验证算例计算表明本文方法理论推导正确,计算精度较初等梁理论大大提高.最后对剪力滞效应及剪切变形对箱形梁自振特性的影响进行了讨论,发现考虑剪力滞效应以及考虑剪切变形均使简支箱梁的振动基频降低,且对于箱梁的高阶振动频率降低程度尤为明显;而箱梁的宽跨比是影

Abstract:

Due to the shear hysteresis effect and shear deformation, the bending vibration frequency of the box girder tends to have a large error in the calculation according to the primary beam theory. Comprehensively considering the shear deformation and shear hysteresis effect of the box girder, the free vibration of the simple support box girder is analyzed by using the energy variational principle, and the analytical solution of the self-resonance frequency of each order of the simple support box girder considering the shear hysteresis effect and shear deformation is derived, which is generalized compared with the previous vibration fundamental frequency that can only be calculated. The verification example shows that the theoretical derivation of the proposed method is correct, and the calculation accuracy is greatly improved compared with the elementary beam theory. Finally, the effects of shear hysteresis effect and shear deformation on the self-vibration characteristics of box girder are discussed, and it is found that considering the shear hysteresis effect and considering shear deformation reduce the vibration fundamental frequency of simple support box girder, and the reduction of high-order vibration frequency of box girder is particularly obvious. And the width-span ratio of the box girder is a shadow

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