双向行走激励下人板耦合动力响应分析  

Dynamic response analysis of human-plate coupling under two-way walking excitation

作　　者：王卫荣[1] 李伟[1] 葛新方[1] 袁炜[1] 

机构地区：[1]合肥工业大学机械工程学院,合肥230009

出　　处：《应用力学学报》2018年第3期590-596,共7页Chinese Journal of Applied Mechanics

基　　金：国家973项目(2014CB049500);国家自然科学基金(51705117);学术新人提升计划(JZ2016HGTA0695)

摘　　要：对于精密仪器设备,其受到的主要激励有地面激励、加工平台支撑系统产生的激励以及机械系统中各电机运转产生的激励等,本文主要研究双向人行激励对精密实验室中板结构的影响。利用人体生物动力学模型,将人体简化为质量、阻尼和刚度的单自由度系统,其中人体质量分为主体质量和耦合质量。根据达朗贝尔原理和薄板振动理论并且考虑板的阻尼,构建人-板耦合系统的动力学方程及其解析表达式。基于Newmark-β法,运用MATLAB进行数值仿真求解时变耦合动力学方程组,从行人步频、行人数量、时间间距、行走路线四个方面进行分析。仿真结果表明:人板耦合振动应主要考虑板的一阶振型造成的影响,双向多人行走时应将时间间距控制在(n+0.2)T^(n+0.8)T(T为单步落足周期,n为周期数)之间。本文为人与结构相互作用及结构的人致振动分析提供了一定参考。The main existing sources of the precision instruments include ground excitation, the excitation of the platform support system and the excitation of the motor in the mechanical system. This paper mainly studies the influences of the two-way pedestrian excitation on the plate structure of precision laboratory. The human body is modeled as a single degree of freedom system with mass, damping and stiffness, which is divided into the main body mass and the coupling mass. Based on the d'Alembert's principle and the vibration theory of thin plate, considering the damping of the plate, the dynamic equations of the coupled system are derived. The Newmark-β method and the MATLAB software are used to solve the time-varying coupling dynamic equations. It is analyzed from four aspects: pedestrian pace frequency, pedestrian number, time interval and walking route. The simulation results indicate that the first mode shape should be mainly considered in the coupled system and the time interval of the different number of pedestrains under two-way walking should be limited between(n+0.2)T^(n+0.8)T with T as the single step period and n means period number. The results provide a reference for analysis of the human-structure interaction and the structure-induced vibration.

关 键 词：步行激励 人板耦合 动力学分析 NEWMARK-Β法 

分 类 号：TU311.3[建筑科学—结构工程]