利用滤波白噪声的随机地面运动时域降维表示法

IF 3 3区 工程技术 Q2 ENGINEERING, MECHANICAL
Zhangjun Liu , Miao Liu , Bohang Xu , Yingfei Fan , Xinxin Ruan
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引用次数: 0

摘要

本文提出了一种方法,用于描述和模拟静止和完全非静止的随机地面运动。该方法基于离散滤波白噪声模型,包括单滤波和双滤波,后者用于抑制低频成分。具体来说,所提出的方法将地震地面运动表示为涉及正交随机变量和确定性函数的乘积的线性组合。此外,通过将高维正交随机变量定义为极低维基本随机变量的正交函数,可以实现原始地动过程的有效降维(DR)。为说明这一概念,我们采用滤波白噪声模型模拟地动加速度过程,研究了只涉及一或两个基本随机变量的三类不同的随机正交函数,从而证明了所建议方法的准确性和效率。同时,在分析各种参数对随机地面运动过程的影响的基础上,提出了在模拟中采用建议方法的建议。案例研究表明,与蒙特卡罗(MC)方法相比,建议方法具有准确性和稳健性。此外,对完全非稳态地动的案例研究突出了所提方法在工程中的实际应用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Time-domain dimension-reduction representation for stochastic ground motion utilizing filtered white noise

A method is proposed for characterizing and simulating both stationary and fully non-stationary stochastic ground motions. This method is based on discrete filtered white noise models, including single and double filtered, with the latter is introduced to suppress low-frequency components. Specifically, the proposed method expresses seismic ground motion as a linear combination of products involving orthogonal random variables and deterministic functions. Further, by defining high-dimensional orthogonal random variables as orthogonal functions of extremely low dimensional elementary random variables, efficient dimension-reduction (DR) of primitive ground motion process can be achieved. To illustrate this concept, three distinct categories of random orthogonal functions involving only one or two elementary random variables are examined, employing filtered white noise models to simulate ground motion acceleration processes, thereby demonstrating the accuracy and efficiency of the proposed method. Simultaneously, recommendations for employing the proposed method in simulations are provided based on an analysis of the impacts of various parameters on random ground motion processes. Case studies demonstrate the accuracy and robustness of the proposed method compared to Monte Carlo (MC) methods. Furthermore, case studies on fully non-stationary ground motion highlight the practical applicability of the proposed method in engineering.

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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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