钢-混凝土组合梁静动力响应

doi:10.13229/j.cnki.jdxbgxb201703014

摘要/Abstract

摘要： 为了准确分析钢-混凝土组合梁的静力和动力响应,基于接触理论和有限单元法的基本思想,提出了组合梁单元的合理位移函数,推导了考虑剪切滑移效应的组合梁单元刚度方程,并结合动力学经典理论,给出了组合梁无阻尼状态下考虑交界面剪切滑移效应的各阶自振频率和振型计算方法。通过具体算例分析了钢-混凝土简支组合梁在竖向荷载作用下的挠度和交界面的剪切滑移应变差沿梁长的分布形态,并与试验结果进行了对比,结果表明:有限元解与试验结果基本一致,说明该有限元解是合理、可信的。利用上述刚度矩阵,基于经典动力学理论,计算了组合梁在考虑剪切滑移效应时的频率和振型,并与完全相互作用的结果进行了对比分析,说明在进行动力响应计算时应考虑剪切滑移的影响,为实际工程的设计提供了一种可靠的理论计算方法。

关键词: 桥梁工程, 组合梁, 接触理论, 有限单元法, 动力响应

Abstract: In order to accurately analyze the static and dynamic responses of steel-concrete composite beams, the reasonable element displacement function of the composite beam is derived based on the contact theory and finite element method. The stiffness equation of the composite beam element considering shear slip effect is deduced. Combined with classical dynamics theory, a method of calculating the natural frequencies and vibration mode of the composite beams without damping is established with consideration of the shear slip effect at the interface. As a case study, the deflection of a simply supported steel-composite beam under vertical load and distributed shear slip strain difference along the beam is analyzed. Results show that the finite element solution is in good agreement with the experiment results. Using stiffness matrix the natural frequencies and vibration modes of the beam considering the shear slip effect are calculated and compared with complete interaction results, which suggest that the effect of shear slip effect should be considered in dynamic response calculation. This study provides a reliable calculation method for practical engineering design.

Key words: bridge engineering, composite beam, contact theory, finite element method, dynamic response

中图分类号:

TU311.1

张云龙, 刘占莹, 吴春利, 王静. 钢-混凝土组合梁静动力响应[J]. 吉林大学学报(工学版), 2017, 47(3): 789-795.

ZHANG Yun-long, LIU Zhan-ying, WU Chun-li, WANG Jing. Static and dynamic responses of steel-concrete composite beams[J]. 吉林大学学报(工学版), 2017, 47(3): 789-795.

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