单层全预制装配式楼板建筑结构自由振动分析OA
Free vibration analysis of single-layer fully prefabricated assembled floor building structure
为了研究预制装配式结构楼板的板块振动对整个建筑结构动力特性的影响,以单层全预制装配式楼板建筑结构为例,将预制板块简化为集中质量,每个预制板块与梁间的干式连接支撑节点简化为阻尼弹簧的支撑节点,由此将集中质量附加于支撑梁上,两端部预制板块与竖向抗侧力体系一同简化为梁的弹性支座,由此给出了附加任意数量MSD系统的弹性支承均质梁分析模型,并基于Euler-Bernoulli梁理论和Wu提出的通过一组有效质量代替弹簧-阻尼-质量系统而推导出的矩阵传递计算方法,推导了该模型固有频率理论解.结合工程算例,用有限元相互验证了理论求解固有频率的准确性,最后讨论了考虑预制板块振动对全预制装配式楼板建筑结构的固有振动特性和带来的影响,为类似工程提供理论支撑和参考.
To investigate the impact of the panel vibrations in precast assembled floor structures on the dynamic characteristics of an entire building structure,a single-story fully precast assembled floor structure is taken as an example.The precast panels are simplified as concentrated masses,and the dry connection support nodes between each precast panel and the beam are simplified as damper-spring support nodes.Consequently,the concentrated masses are attached to the supporting beam,and the end precast panels,together with the vertical lateral force-resisting system,are simplified as elastic supports of the beam.An analytical model for a homogeneous beam with elastic supports and an arbitrary number of concentrated MSD systems is thus proposed.Based on the Euler-Bernoulli beam theory and Wu's proposed matrix transfer calculation method derived by replacing the spring-damping-mass system with a set of effective masses.the theoretical solution for the natural frequency of this model is derived.In an engineering example,the accuracy of the theoretical solution for natural frequencies is verified using finite element analysis.Finally,the influence of considering the vibrations of precast panels on the natural vibration characteristics of fully precast assembled floor structures is discussed,providing theoretical support and reference for similar projects.
罗维刚;赵叶宁;赵山洋
兰州理工大学土木工程学院,兰州 730050||甘肃省土木工程防灾减灾重点实验室,兰州 730050||西部土木工程防灾减灾教育部工程研究中心,兰州 730050兰州理工大学土木工程学院,兰州 730050兰州理工大学土木工程学院,兰州 730050
建筑与水利
预制装配式楼板装配建筑固有频率弹性支承均质梁集中质量弹簧阻尼系统模态振型
prefabricated floor slabnatural frequency of prefabricated buildingselastic supported uniform beammass-spring-dampersystemmode shape
《计算力学学报》 2026 (1)
101-107,131,8
甘肃省建设科技攻关(JK2013-18)资助项目.
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