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基于单自由度的人体模型,将分布人群简化成均匀连续分布的质量-弹簧-阻尼系统,并考虑楼板的阻尼,建立了有阻尼的分布人群-薄板耦合系统模型。分析了薄板与人体的频率比及人板质量比等参数对耦合系统动力特性的影响。以四边简支的均质矩形薄板为例,用有限元方法对该文结论进行了验证。研究成果可为人与结构相互作用及结构的人致振动分析提供参考。
Based on the single-degree-of-freedom human body model, the distribution of population is reduced to a mass-spring-damping system with uniform and continuous distribution, and the damping of the slab is considered to establish a damped distributed population-thin plate coupled system model. The influence of frequency ratio and mass ratio of plate to human body on the dynamic characteristics of coupled system is analyzed. Taking the homogeneous rectangular thin plate with simple support on four sides as an example, the conclusion of this paper is validated by finite element method. The research results can provide reference for the vibration analysis of people and the interaction and structure of structure.