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Production of Input Motions for the Aseismic Design by Stochastic System Model

通过随机系统模型产生抗震设计的输入运动

基本信息

批准号：
01850133
负责人：
MINAI Ryoichiro
金额：
$ 3.9万
依托单位：
Kyoto University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Developmental Scientific Research (B).
财政年份：
1989
资助国家：
日本
起止时间：
1989 至 1990
项目状态：
已结题

项目摘要

1. Generation of ground motions by means of stochastic system model1) The wave equation of nonlinear hysteretic soil medium is formulated as the 1st order partial differential equations for time and space variables considering the hysteretic constitutive equation of the equivalent stress and strain relationship of hardening material.2) Seismic reliability function is obtained by integrating the circumferential probability density function by representing the similar type of differential equation on earthquake input motion, hysteretic system and the damage process of the structures.3) Optimum stochastic control method is proposed for the nonlinear hysteretic structures by introducing the above-mentioned stochastic model of input motion.2. Estimation of ground motions based on the observational data of earthquakes.1) Scale of the predicted maximum earthquake is estimated as twice of the earthquake energy of maximum magnitude recorded, by introducing the modified estimation method of Gutenberg-Richter formulation.2) An inverse calculation method to presume the input motion at the free surface using the accelerograms observed in structures is devised considering the effect of nonlinear soil-structure interaction. The validity of the method is verified by applying the earthquake records observed simultaneouslyin the structure and at the surrounding free surface. An example of the property of the input motions applied to a risk analysis of earthquake hazards in residential and regional spaces is shown.

1. 1)考虑硬化材料等效应力应变关系的滞回本构方程，将非线性滞回土介质的波动方程表示为含时间和空间变量的一阶偏微分方程。2)通过表示地震输入运动、滞回系统和结构损伤过程的相似型微分方程，对周向概率密度函数进行积分，得到结构的地震可靠度函数。3)通过引入上述输入运动的随机模型，提出了非线性滞后结构的最优随机控制方法。基于地震观测资料的地面运动估计。1)通过引入修正的Gutenberg-Richter公式估计方法，将预报的最大地震震级估计为记录的最大震级能量的两倍。2)考虑到非线性土-结构相互作用的影响，设计了一种利用结构中观测到的加速度逆计算方法来假设自由面处的输入运动。通过同时观测结构内部和周围自由表面的地震记录，验证了方法的有效性。本文给出了一个应用于住宅和区域空间地震风险分析的输入运动特性的例子。