考虑人-结构相互作用的楼盖振动控制研究

探讨了采用多重调谐质量阻尼器(MTMD)系统对楼盖考虑和不考虑人-结构相互作用时的振动控制。每个静止的人和调谐质量阻尼器(TMD)都作为单自由度动力系统附加在楼盖控制模态上,得出了人-楼盖-MTMD系统耦合振动方程,通过对该方程的傅里叶变换和静力缩聚法,得到了以无量纲参数表示的楼盖加速度响应。运用遗传算法,以楼盖的加速度响应最小为条件对MTMD系统进行优化,得出了对应不同MTMD系统质量比和楼盖阻尼比的无量纲设计参数(频率比和阻尼比)。通过对不考虑和考虑人-楼盖相互作用的楼盖减振控制效果进行对比,提出了考虑人-楼盖相互作用的楼盖MTMD系统的设计建议。另外,对MTMD系统由于楼盖模态质量、自振频率以及MTMD阻尼的变化所导致的去谐效应进行了讨论。最后总结了考虑去谐效应的MTMD系统的设计方法。

Floor vibration control considering human-structure interaction

This paper presents the application of multiple tuned mass dampers (MTMD) for the control of excessive vibration of long-span floor due to human motions, respectively considering the human-structure interaction or not. In the analysis model, each stationary human, as well as each TMD, is attached into the single degree of freedom (SDF) system representative of the controlled vibration mode of floor as an SDF system. The coupled motion equation of human-floor-MTMD system is presented and the acceleration response expressed by non-dimensional values is obtained by Fourier transform and static condensation method. The optimum values of MTMD design parameters (frequency ratios and damping ratios) are detected based on the minimization of the acceleration response of floor for various MTMD total mass ratios and floor damping ratios by genetic algorithm. And then the comparison of vibration control efficiency between the floors considering human-structure interaction and not is presented, putting forward the recommendation for the design of MTMD system adopted to the floor with human-structure interaction. Additionally, de-tuning effects of MTMD system due to variations of floor controlled modal mass, controlled modal frequency and MTMD damping ratios are studied. Finally, the design guide for MTMD system considering de-tuning effects is developed.