钢-混凝土组合梁的固有频率及其振型

doi:10.13229/j.cnki.jdxbgxb20181007

摘要/Abstract

摘要：

为准确分析考虑剪切滑移效应的钢-混凝土组合梁频率及其振型，根据经典动力学的基本思想和粘结滑移理论，提出了钢-混凝土组合梁考虑剪切滑移效应的位移函数，基于能量法推导了考虑剪切滑移效应的组合梁自由振动方程并得出固有频率及其振型，解决了考虑钢-混凝土组合梁交界面剪切滑移的难题。通过室内试验对试验梁的频率及其振型进行测试，并基于ANSYS对钢-混凝土组合梁进行了仿真模拟分析，将试验梁的测量值、ANSYS仿真模拟分析值与理论解进行对比，结果表明：考虑剪切滑移效应求解钢-混凝土组合梁频率和振型的解析解是正确的，在实际组合梁工程中考虑剪切滑移效应十分必要。

关键词: 公路运输, 桥梁工程, 组合梁, 自由振动, 剪切滑移效应

Abstract:

In order to accurately analyze the frequency and mode shape of steel-concrete composite beam considering the shear-slip effect, the displacement function of the steel-concrete composite beam is proposed according to the basic idea of classical dynamics and the bond slip theory. Based on the energy method, the free vibration equation of composite beam considering shear-slip effect is derived and the natural frequency and its mode shape are obtained, which solves the problem of considering shear-slip at the interface of steel-concrete composite beam. The frequency and mode shape of the testing beam are measured by laboratory test, and the simulation analysis of steel-concrete composite beams is carried out based on ANSYS. The measured value and simulation value are compared with the theoretical solution. The results show that the theoretical solution of the frequency and mode shape of the steel-concrete composite beam is correct and reasonable considering the shear-slip effect. It is very necessary to take the shear-slip effect into consideration in the practical composite beam engineering.

Key words: road transport, bridge engineering, composite beam, free vibration, shear slip effect

中图分类号:

U441

张云龙,郭阳阳,王静,梁东. 钢-混凝土组合梁的固有频率及其振型[J]. 吉林大学学报(工学版), 2020, 50(2): 581-588.

Yun-long ZHANG,Yang-yang GUO,Jing WANG,Dong LIANG. Natural frequency and mode of vibration of steel⁃concrete composite beam[J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(2): 581-588.

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项目	固有频率/Hz	误差/%
理论解	55.00	2.00
ANSYS解	56.55	0.76
实测值	56.12	—