Conditional simulation of stationary non-Gaussian processes based on unified hermite polynomial model

IF 3 3区 工程技术 Q2 ENGINEERING, MECHANICAL
Zhao Zhao , Zhao-Hui Lu , Yan-Gang Zhao
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引用次数: 0

Abstract

The conditional simulation of non-Gaussian excitations utilizing records from the monitoring system is of great significance for hazard mitigation. To this end, this paper proposes a novel conditional non-Gaussian simulation method. In this method, the Unified Hermite Polynomial Model (UHPM) is used to describe the transformation relationship between recorded and unrecorded non-Gaussian processes and their underlying Gaussian counterparts. Meanwhile, an explicit transformation model between their correlation functions is also provided. Then, the covariance matrix of Fourier coefficients of the underlying Gaussian processes is constructed. Based on this covariance matrix, the conditional samples of Fourier coefficients are generated and substituted into the Spectral Representation Method (SRM) to perform the conditional simulation of the underlying Gaussian processes. Finally, the conditionally simulated samples of the underlying Gaussian processes are transformed into the non-Gaussian samples by the UHPM. To showcase the precision and efficacy of the proposed method, two numerical examples involving the conditional simulations of non-Gaussian ground motions and non-Gaussian wind pressure coefficients are provided.

基于统一赫米特多项式模型的非高斯静止过程的条件模拟
利用监测系统的记录对非高斯激励进行条件模拟,对减轻灾害具有重要意义。为此,本文提出了一种新颖的条件非高斯模拟方法。在该方法中,统一赫米特多项式模型(UHPM)被用来描述已记录和未记录的非高斯过程与其基础高斯对应过程之间的转换关系。同时,还提供了它们之间相关函数的明确转换模型。然后,构建底层高斯过程的傅立叶系数协方差矩阵。在此协方差矩阵的基础上,生成傅里叶系数的条件样本,并将其代入频谱表示法(SRM),对底层高斯过程进行条件模拟。最后,通过 UHPM 将基础高斯过程的条件模拟样本转换为非高斯样本。为了展示所提方法的精确性和有效性,我们提供了两个涉及非高斯地面运动和非高斯风压系数条件模拟的数值示例。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Probabilistic Engineering Mechanics
Probabilistic Engineering Mechanics 工程技术-工程:机械
CiteScore
3.80
自引率
15.40%
发文量
98
审稿时长
13.5 months
期刊介绍: This journal provides a forum for scholarly work dealing primarily with probabilistic and statistical approaches to contemporary solid/structural and fluid mechanics problems encountered in diverse technical disciplines such as aerospace, civil, marine, mechanical, and nuclear engineering. The journal aims to maintain a healthy balance between general solution techniques and problem-specific results, encouraging a fruitful exchange of ideas among disparate engineering specialities.
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