（1 中煤科工重庆设计研究院（集团）有限公司， 重庆 400016； 2 重庆大学土木工程学院， 重庆 400045； 3 山地城镇建设与新技术教育部重点实验室， 重庆 400045； 4 中机中联工程有限公司， 重庆 400039）

［摘要］结合某实际工程，设计11种楼盖方案，并通过5种不同荷载工况下的人致跳跃荷载所致楼盖竖向振动有限元模拟分析研究，得到有关人致荷载下大跨度楼盖结构竖向振动的主要结论：类共振、二分频类共振有可能成为体育馆大跨度楼盖竖向振动舒适度评价中的控制工况；增大楼盖自振频率可避免发生二分频类共振，但调整后应防止三分频类共振或者其他高频非类共振工况成为控制工况；采用峰值加速度对类共振工况下的舒适度评价较为适用，而非类共振工况下则应同时考虑峰值加速度及其持续时间的综合评价方法；增加梁高及增设平梁底板能有效控制大跨度楼盖结构在人致荷载作用下的竖向振动，在增设平梁底板的情况下增大底板厚度的效果更为明显，而增加楼板板厚则效果不明显。

［关键词］加速度响应； 大跨度楼盖； 竖向振动； 舒适度； 共振

中图分类号：TU378文献标识码：A文章编号：1002-848X(2020)14-0126-05

Finite element analysis of vertical vibration based on acceleration response of long-span floor system in gymnasium

XU Shitong1, HUANG Yin2,3, LI Zhegang4, HUANG Zhuwei2

(1 CCTEG Chongqing Engineering(GROUP) Co., Ltd., Chongqing 400016, China; 2 School of Civil Engineering, Chongqing University, Chongqing 400045, China; 3 Key Laboratory of New Technology for Construction of Cities in Mountain Area (Chongqing University), Ministry of Education, Chongqing 400045, China; 4 CMCU Engineering Co., Ltd., Chongqing 400039, China;）

Abstract:Combined with an actual project, 11 types of floor system were designed, and through the finite element analysis of the vertical vibration of the floor caused by the human-induced jump load under 5 different load conditions, mainly conclusions about the vertical vibration of the long-span floor structure under human-induced load were received. Pseudo-resonance and divided-by-two pseudo-resonance may become the control conditions in the comfort evaluation of the vertical vibration of the long-span floor in the gymnasium. Increasing the natural frequency of the floor can avoid the occurrence of divided-by-two pseudo-resonance, but after adjustment, the divided-by-three pseudo-resonance or other high-frequency non-pseudo-resonance conditions should be prevented from becoming control conditions. Peak acceleration is more suitable for comfort evaluation under pseudo-resonance conditions, and under non-pseudo-resonance working conditions, the comprehensive evaluation method of peak acceleration and its duration should be considered at the same time. Increasing beam height and adding bottom plate of the beam can effectively control vertical vibration of long-span floor structure under human-induced load. The effect of increasing the thickness of the bottom plate is more obvious when it is added, but the effect is not obvious when the thickness of the floor plate is increased.

Keywords:acceleration response; long-span floor; vertical vibration; comfort; resonance

*国家自然科学基金资助项目（51078370）。

作者简介：徐诗童，硕士，高级工程师，一级注册结构工程师，Email:xushitong@cqmsy.com。