Generation of accelerograms compatible with design specifications using information theory
Generation of accelerograms compatible with design specifications using information theory
复制标题
使用信息论生成与设计规范兼容的加速度图
DOI：
--
复制
发表时间：
2014
影响因子：
4.6
通讯作者：
Christian Soize
中科院分区：
文献类型：
--
作者：
A. Batou;Christian Soize
本文讨论了与给定反应谱和其它设计规范相适应的地震加速度记录的生成。随机加速度记录的时间采样产生由高维随机向量表示的时间序列。该随机向量的概率密度函数是在由可用信息（设计规范）定义的约束下使用最大熵（MaxEnt）原理构造的。在本文中，提出了一种自适应算法来识别的拉格朗日乘子引入MaxEnt原则，考虑到约束。该算法基于（1）适当的凸泛函的最小化和（2）概率分布的构造，该概率分布被定义为伊藤随机微分方程的不变测度，以估计问题的高维积分。与地震加速度记录有关的约束被明确地开发。通过一个应用程序验证了这种方法，该应用程序的可用信息与代表加速度记录的随机向量的每个分量的方差、反应谱的统计数据、峰值地面加速度、累积绝对速度以及速度和位移的端值有关。
This paper deals with the generation of seismic accelerograms which are compatible with a given response spectrum and other design specifications. The time sampling of the stochastic accelerogram yields a time series represented by a random vector in high dimension. The probability density function of this random vector is constructed using the maximum entropy (MaxEnt) principle under constraints defined by the available information (design specifications). In this paper, an adapted algorithm is proposed to identify the Lagrange multipliers introduced in the MaxEnt principle to take into account the constraints. This algorithm is based on (1) the minimization of an appropriate convex functional and (2) the construction of the probability distribution defined as the invariant measure of an Itô stochastic differential equation in order to estimate the integrals in high dimension of the problem. The constraints related to a seismic accelerogram are developed explicitly. This methodology is validated through an application for which the available information is related to the variance of each component of the random vector representing the accelerogram, statistics on the response spectrum, on the peak ground acceleration, on the cumulative absolute velocity and on the end-values for the velocity and for the displacement.