Abstract：To accurately predict the vibration response of large-span floor under crowd walking, the random crowd load model was established according to the relationship among variable step size, variable step frequency and variable step speed during pedestrian walking. Based on the thin plate vibration theory, the crowd-large-span floor coupling dynamic equation considering human-structure interaction was deduced, and the variation rule of dynamic characteristic parameters and acceleration response of large-span floor under random crowd action was calculated and analyzed. The results show that under the random crowd walking, the instantaneous frequency of the large-span floor is decreased with latter increasing, and the instantaneous damping ratio is increased with latter decreasing. With the increasing of the number of people walking, the minimum instantaneous frequency of the structure is decreased significantly, and the maximum instantaneous damping ratio is increased significantly, while the instantaneous acceleration and root mean square acceleration of the large-span floor show the trend of increasing with latter decreasing. Under the different number of people walking, the acceleration response of the structure with and without pedestrian randomness is significantly different. The maximum difference rate of instantaneous acceleration can reach 53.90%, and the maximum difference rate of root mean square acceleration can reach 61.57%.
操礼林， 王念康. 随机人群行走下大跨楼盖的动力特性参数及加速度响应的变化规律[J]. 江苏大学学报（自然科学版）, 2024, 45(5): 606-613.
CAO Lilin, WANG Niankang. Dynamic characteristic parameters and acceleration response of large-span floor under random crowd walking[J]. Journal of Jiangsu University(Natural Science Eidtion)
, 2024, 45(5): 606-613.
ZHU Q K, MENG W C, ZHANG Q, et al. High-efficiency evaluation of human-induced vibration servicea-bility of footbridge[J]. Journal of Vibration，Measurement & Diagnosis, 2022,42(5):945-951，1036.(in Chinese)
XIE W P, TANG Z H, HE W. Study on vertical vibration of bridge-pedestrians dynamic interaction system[J]. Journal of Vibration and Shock, 2020, 39(11):76-82.(in Chinese)
［3］
娄宇,黄健,吕佐超. 楼板体系振动舒适度设计[M]. 北京：科学出版社, 2012:31-32.
［4］
VENUTI F, RACIC V, CORBETTA A. Modelling framework for dynamic interaction between multiple pedestrians and vertical vibrations of footbridges[J]. Journal of Sound and Vibration, 2016,379:245-263.
［5］
CAPRANI C C, AHMADI E. Formulation of human-structure interaction system models for vertical vibration[J]. Journal of Sound and Vibration, 2016,377:346-367.
［6］
MULLARNEY B， ARCHBOLD P. Modelling the vertical loads applied by pedestrians at a range of walking velocities[J]. Australian Journal of Basic and Applied Sciences, 2013,7(5):266-277.
LI H L, CHEN Z Q. A calculation method for footbridge vibration under stochastic pedestrian loading[J]. Journal of Hunan University (Natural Sciences), 2013,40(10):22-31.(in Chinese)
YANG N, QIU X. Crowd density load model and analysis of crowd-induced vibration[J]. Journal of Beijing Jiaotong University, 2016,40(3):88-96.(in Chinese)
［9］
倪震华. 振动力学[M]. 西安：西安交通大学出版社, 1989:430-442.
［10］
操礼林. 高铁候车厅大跨楼盖人致振动响应分析与减振控制研究[D]. 南京:东南大学, 2016.
［11］
PORTIER K, KEITH TOLSON J, ROBERTS S M. Body weight distributions for risk assessment[J]. Risk Analysis, 2007,27(1):11-26.
［12］
SILVA F T, PIMENTEL R L. Biodynamic walking mo-del for vibration serviceability of footbridges in vertical direction[C]∥Proceeding of the 8th International Conference on Structural Dynamics, EURODYN 2011. Leuven, Belgium: International Conference Structural Dynamics, Katholieke Universiteit, 2011:1090-1096.
ZHANG Q, NAN N N, ZHU Q K, et al. Vibration response of long-span corridor under stochastic crowd load[J]. Journal of Civil and Environmental Engineering, 2019,41(2):99-105.(in Chinese)
CHEN J, WANG H Q, PENG Y X. Experimental investigation on Fourier-series model of walking load and its coefficients[J]. Journal of Vibration and Shock, 2014,33(8):11-15，28.(in Chinese)
2024, Vol. 45 
