Optimal Damper Placement for Non-propertionally Damped Building Structures Supported by Ground

本课题的目的是提出一种地基支承的非比例阻尼器建筑结构附加粘滞阻尼器优化布置的新方法。在本项目中取得了以下成果。提出了一种地基支承剪力墙结构附加粘滞阻尼器优化布置的新方法。整体模型为非比例阻尼器。用等效线性模型考虑了地基的非线性。将原有的最速方向搜索算法应用到复杂模型中，寻找阻尼器的最优位置和容量。给出了几个不同地基条件下的设计算例，揭示了建筑物的基本自振周期与地基基本自振周期的关系是弄清地基对有效阻尼器设置的影响的关键。为了揭示支撑构件刚度对有效阻尼器布置的影响，引入了麦克斯韦模型。结果表明，支承构件刚度的减小降低了阻尼器的性能。已经开发了一种新的方法来考虑支承构件的这种影响。提出了一种新的临界激励方法。结果表明，采用临界激励作为输入地震动，可以建立一种稳健的阻尼器最优布置方法。导出了稳态和非稳态临界激励。

The purpose of this project is to develop a new method optimal added viscous damper placement in non-proportionally damped building structures supported by grounds. The following results have been obtained in this project.1. A new method of optimal added viscous damper placement has been developed for a shear building supported by a ground. The overall model is a with non-proportional damping. The nonlinearity of the ground has been taken into account by an equivalent linear model. The original steepest direction search algorithm has been applied to the complicated model to find the optimal position and capacity of dampers. Several design examples have been obtained for various ground conditions and it has been disclosed that the relation of the fundamental natural period of the building with that of the ground is the key for clarifying the effects of grounds on the effective damper placement.2. To disclose the effect of the supporting member stiffness on the effective damper placement, a Maxwell-type model has been introduced. It has been found that the decrease of the supporting-member stiffness reduces the performance of the dampers. A new method has been developed to include such effects of supporting members.3. A new method of critical excitation has been developed. It has been shown that a robust method of optimal damper placement can be developed by adopting the critical excitation as the input ground motion. Stationary and nonstationary critical excitations have been derived.