三维实体结构的双向TMD优化设计

Optimal Design of Bi-directionnal TMD for Three Dimensional Building Structure

采用在结构顶层设置双向TMD被动控制的方法,对结构在多向地震作用下的振动进行了被动控制的研究.在建立三维结构控制体系的动力学模型后推导出结构-TMD联合动力方程,并以功率谱密度函数矩阵迹的积分为目标函数,利用单纯形法对双向TMD的参数进行优化设计.数值结果表明,利用双向TMD系统对结构进行被动控制的方法是可行且有效的,能对结构的平动和扭转起到较好的减震效果.

Building structures which are resistant to earthquake and wind excitation has been a challenging job for more than a century. In recent years,considerable attention has been paid to research and development of structural control devices, with particular emphasis on alleviation of wind and seismic response of buildings and bridges. In this paper,the passive control approach to threei- mensional structural excited by multi-dimen-sional earthquake ground motions is presented by using Bi-directionnal tuned massed damper（TMD） systerm. The mathematic model of a multi-storey building structure including the TMD system is established and its combined equation of motion is given. The optimization of TMD parameters can be obtained by using the simplex method based on the object function. The numberical example shows that the presented method is effective and flexible. It may obviously control the translational response and rotational response of three dimensional building structure.