摘要
针对装配式框架结构中梁柱节点呈半刚性的特点,采用回传射线矩阵法研究了结构的自由振动特性.对每个装配式框架结构中梁、柱分别采用2种不同的局部坐标系,并考虑力的平衡条件、位移协调条件及框架边界条件,建立了含半刚性节点的三层框架结构的回传射线矩阵方程.采用MATLAB软件编程得到了框架结构的前18阶固有频率,并与有限元模拟作对比分析,验证了回传射线矩阵法在处理半刚性节点问题的有效性与正确性.计算分析表明,结构的固有频率对节点的半刚性特性非常敏感.研究结果将为半刚性节点的装配式结构的动力设计提供参考.
Due to the semi-rigid properties of beam-column joints,a method of reverberation-ray matrix is employed to investigate the free vibration of the prefabricated frame structures.Two different local coordinate systems are used for the beams and columns in the prefabricated frame structure.Considering the conditions of the force balance,the coordination conditions of the displacement and the boundary conditions of the frame,the reverberation-ray matrix formulations are established for a three-storey prefabricated frame structure with semi-rigid joints.The first 18-order natural frequencies of the frame structure are calculated in MATLAB.The results are compared with those from finite element simulation,which verifies the effectiveness and correctness of the present method in dealing with the dynamics of a framed structure with semi-rigid nodes.The numerical analysis shows that the natural frequencies are very sensitive to the semi-rigid properties of the prefabricated frame structures.Furthermore,the results of this study will provide theoretical ground for the future dynamical design of the prefabricated structures.
作者
吕田碧
严蔚
李俊华
王浩杰
李春阳
LÜTianbi;YAN Wei;LI Junhua;WANG Haojie;LI Chunyang(School of Civil and Environmental Engineering,Ningbo University,Ningbo 315211,China)
出处
《宁波大学学报（理工版）》
CAS
2020年第1期88-94,共7页
Journal of Ningbo University：Natural Science and Engineering Edition
基金
国家重点研发计划项目(2016YFC0701804)
宁波市自然科学基金(2017A610315,2018A610353)
关键词
装配式结构
半刚性节点
回传射线矩阵
自由振动
prefabricated structure
semi-rigid joins
reverberation-ray matrix
free vibration(
