计算力学学报2026，Vol.43Issue(1)：101-107,131,8.DOI:10.7511/jslx20240929001
单层全预制装配式楼板建筑结构自由振动分析
Free vibration analysis of single-layer fully prefabricated assembled floor building structure
摘要
Abstract
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.关键词
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Key words
prefabricated floor slab/natural frequency of prefabricated buildings/elastic supported uniform beam/mass-spring-dampersystem/mode shape分类
建筑与水利引用本文复制引用
罗维刚,赵叶宁,赵山洋..单层全预制装配式楼板建筑结构自由振动分析[J].计算力学学报,2026,43(1):101-107,131,8.基金项目
甘肃省建设科技攻关(JK2013-18)资助项目. （JK2013-18）
