采用能量法研究静立人群与板联合系统的动力学特性。使用具有分布质量、阻尼和刚度的非均质弹性直杆模拟静立人体，利用第一类切比雪夫多项式构造板的试函数，结合拉格朗日方程建立人-板联合系统振动微分方程，分析了人-板系统的动力学特征，详细研究了人的位置以及人板质量比对人-板系统动力特性的影响。分析表明：弹性人体模型比附加质量模型更科学合理，人群位于板动力变形较大处时对系统动力特性的影响尤为显著。
Abstract
The dynamic characteristics of the standing still crowd-plate system are studied by adopting the energy method.The coupled model of crowd-plate system has been developed by considering the standing human body as an elastic non-uniform column with the distributed mass, damping and stiffness. The first kind of Chebyshev polynomials is applied to construction of the trial function for plates. The governing differential equations of the crowd-plate coupled system are derived out by using the Lagrange equation. The influence of the human occupants standing on rectangular plates on vibration characteristics is investigated. The effects of the mass ratio of crowd to the plate and the position of human occupants on the dynamic properties of the plate are discussed in detail.The results show that regarding a crowd as a elastic system added to the plate is more scientific and rational compared with added masses. The influence on dynamic characteristics of the crowd-plate coupled system is much more significant when the crowd locates at the larger dynamic deformation of the plate.
关键词
人-板联合系统 /
人体模型 /
振动微分方程 /
动力特性
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Key words
crowd-plate coupled system /
human-body model /
dynamic differential equations /
dynamic characteristic
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参考文献
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