Multi-phase Inverse Perturbation Method for Generation of Design Sequences of Non-proportional Damping Building Structures and Development of a Computer-aided Generation Sysem of Stiffness Designs

本课题的目的是利用一种新的复数平面多相逆摄动方法，开发非比例阻尼系统刚度设计的通用计算机辅助生成系统。在本项目中获得了以下结果：针对具有粘性阻尼器的剪力建筑模型，提出了一种新的刚度设计方法。首先，在解耦近似下，根据粘性阻尼器阻尼系数的代表性参数序列生成了一系列刚度设计，使每个平均峰值最大层间漂移与一组频谱兼容设计地震的规定值相吻合。最初的设计是通过目前的高级研究员开发的方法得到的。对于表示非对角线项影响的水平参数，已经发展了第二种摄动过程。针对带有麦克斯韦型粘性阻尼器的剪力建筑模型，提出了一种新的刚度设计方法。对于麦克斯韦型粘性阻尼器中弹簧元件的一系列柔韧性，产生了一系列刚度设计，使每一个平均峰值最大层间漂移与一组频谱兼容设计地震的规定值相吻合。通过1.3中开发的方法获得了初始设计。采用规定桩-土体系支撑的剪力式建筑，承受基岩地震输入。提出了一种新的设计方法来生成满足层间漂移约束的刚度设计序列。用模型组合规则计算了基岩上一组谱相容地震动作用下剪切建筑物层间平均峰值漂移。固定基础剪力建筑的基本自然周期与剪力梁地基的基本自然周期的调整将导致有关地基刚度参数的刚度设计的非单调序列，并且以前的方法不能应用于此类问题。通过在多个设计阶段交替使用地面刚度参数和上部结构刚度参数以及开发一种新的多相摄动技术，克服了寻找这种非单调序列的困难。少

The purpose of this project is to develop a general computer-aided generation system of stiffiness designs for non-proportional damping systems via a new multi-phase inverse perturbation method in a complex-number plane. The following results have been obtained in this project.1.A new method of stiffness designs has been developed for a shear building model with viscous dampers at the interstories. First, a sequence of stiffness designs has been generated with respect to a sequence of a representative parameter of damping coefficients of viscous dampers under the decoupling approximation such that each mean peak maximum interstory drift would coincide with the specified value subject to a set of spectrum-compatible design earthquakes. The initial design has been obtained via the method developed by the present senior researcher. The second perturbation procedure has been developed with respect to a level parameter representing the effect of off-diagonal terms.2.A new method of stiffnes … More s design has been developed for a shear building model with Maxwell-type viscous dampers. A sequence of stiffness designs has been generated with respect to a sequnece of flexibility of spering elements in the Maxwell-type viscous dampers such that each mean peak maximum interstory drift would coincide with the specified value subject to a set of spectrum-compatible design earthquakes. The initial design has been obtained via the method developed in 1.3.A shear building supported by a prescribed pile-soil system is subjected to bedrock earthquake input. A new design procedure has been presented for generating a sequence of stiffness designs satisfying the constraints on interstory drifts. The mean peak interstory drifts of the shear building subjected to a set of spectrum-compatible ground motions at the bedrock have been evaluated by a model combination rule. Tuning of the fundamental natural period of a shear building with a fixed base with that of a shear beam ground results in a non-monotonic sequence of stiffness designs with respect to a ground stiffness parameter and previous approaches can not be applied to such a problem. This difficulty in finding such a non-monotonic sequence has been overcome by utilizing the ground siffness parameter and the superstructure stiffness parameter alternately in multiple design phases and by developing a new multi-phase perturbation technique. Less