人致振动载荷下楼盖结构的瞬态动力学分析

Transient dynamic analysis of floor based on human-induced vibration

针对人致振动载荷作用下,楼盖结构出现的振动问题,本文依据有限元分析理论,采用瞬态动力学方法对实际楼盖结构开展了跳跃和屈伸激励下的实验测试和有限元数值分析,得到了傅里叶级数拟合的速度激励函数。将此函数应用于有限元数值分析,对比验证了跳跃和屈伸激励下实际楼盖的瞬态响应,分析了2种激励下的能量传递分布规律。研究表明:实际楼盖在2种激励形式下能量均以复合正弦波形式传播,跳跃激励时整体测点的速度响应表现为明显的拍振现象,而屈伸激励下的速度响应表现为随机响应,2种响应状态从振动形式上反映了2种激励对楼盖结构的作用效果,可以从振动响应角度,为人致振动造成的楼盖危险部位分析提供参考。

In this paper,the transient dynamic method is employed to carry out the experimental test and finite element numerical analysis of the actual floor structure under jump and bounce excitation,obtaining the velocity excitation function fitted by the Fourier series,to address the vibration problem of floor structure under human-induced vibration load,based on the finite element analysis theory.This function is applied to the finite element method for numerical analysis.The transient response of the actual floor under jump and bounce excitation is compared and verified,and the energy transfer distribution under these two types of excitations is analyzed.The results show that the energy of the actual floor propagates in the form of composite sine waves under two types of excitations;the response speed of the entire measuring point under the jump excitation showed obvious beat vibration phenomenon,whereas the response speed under the bounce excitation showed random response state.From the standpoint of vibration,these two response states reflect the effect of two types of excitation on the floor structure.The vibration response can serve as a reference for the floor damage caused by human vibration.