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研究了作用在梁上的均匀分布人群对梁的动力特性的影响。将人群简化为均匀分布的弹性质量模型,考察了无阻尼的弹性质量和有阻尼的弹性质量两种模型对简支欧拉梁的动力特性的影响,得到了人群和梁耦合系统的频率和阻尼的解析表达式。并以此研究了分布质量与梁的质量之比对梁的频率和阻尼比的影响,得到了人群对结构动力特性影响的定性规律。结果表明:耦合系统在人体振动基频处分支出一系列的振动频率,并且当分布人群质量与结构质量之比达到一定程度时,均布的人群会对梁的振动特性产生显著的影响,明显改变梁的自振频率,显著提高梁振动的阻尼比。最后研究了梁的振动频率对人群-梁耦合系统阻尼比的影响。
The effect of evenly distributed population on beam dynamic characteristics was studied. The population is reduced to a uniformly distributed elastic mass model. The influences of the unmodified elastic mass and the damped elastic mass model on the dynamic characteristics of a simply supported Euler beam are investigated. The frequency and damping of the population and the coupled beam system are obtained Analytic expression. Based on this, the influence of the mass ratio of the mass to the mass of the beam on the frequency and damping ratio of the beam is studied, and the qualitative laws of the population on the dynamic characteristics of the structure are obtained. The results show that the coupled system has a series of vibration frequencies at the fundamental frequency of human body vibration, and when the ratio of mass to structure mass of distributed population reaches a certain level, the uniform population will have a significant effect on the vibration characteristics of the beam, obviously changing Beam natural frequency, significantly increase the vibration damping ratio. Finally, the influence of the vibration frequency of the beam on the damping ratio of the crowd-beam coupling system is studied.