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

本计画的目的是发展一种新的方法，以最佳化黏滞阻尼器在非比例阻尼建筑结构中的位置。本项目取得了以下成果：1.本文提出了一种新的粘滞阻尼器优化布置方法。整个模型是一个非比例阻尼。采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于复杂的模型中，找到阻尼器的最优位置和最优阻尼器容量。在不同地基条件下，得到了几个设计实例，揭示了建筑物基本自振周期与地基基本自振周期的关系是阐明地基对有效阻尼器布置影响的关键.为了揭示支撑构件刚度对有效阻尼器布置的影响，引入了Maxwell型模型。已经发现，支撑构件刚度的减小降低了阻尼器的性能。提出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，可以得到一种鲁棒的阻尼器优化配置方法。稳态和非稳态的临界激励已经推导出来。

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.