速度发散--通用自适应概率密度演化法

IF 4.3 2区 工程技术 Q1 ENGINEERING, CIVIL
Qiang Xu, Jianyun Chen, Jingkai Wang, Jing Li, Yin Wang
{"title":"速度发散--通用自适应概率密度演化法","authors":"Qiang Xu,&nbsp;Jianyun Chen,&nbsp;Jingkai Wang,&nbsp;Jing Li,&nbsp;Yin Wang","doi":"10.1002/eqe.4192","DOIUrl":null,"url":null,"abstract":"<p>This study proposes a novel velocity divergence-generalized adaptive probability density evolution method (VD-GAPDEM) for calculating the probability density function of the stochastic response process of stochastic structures under stochastic dynamic loads. First, based on the principle of probability conservation, the velocity divergence-generalized adaptive probability density evolution equation (VD-GAPDEE) is derived for a stochastic system that can effectively consider the shape and location changes of the joint transitional probability density of representative points (RPs) in the stochastic response process. Second, a novel VD-GAPDEM is proposed to solve the VD-GAPDEE directly using the point selection technique based on the generalized F discrepancy and the second-order Runge–Kutta method with a smoothing kernel method (Runge–Kutta-SKFAM). Furthermore, the differences and connections between VD-GAPDEM and the existing probability density evolution method are analyzed. Additionally, the high computational efficiency and accuracy of the proposed VD-GAPDEM are demonstrated through three typical examples of stochastic response analysis, involving stochastic systems subjected to stochastic dynamic loads.</p>","PeriodicalId":11390,"journal":{"name":"Earthquake Engineering & Structural Dynamics","volume":null,"pages":null},"PeriodicalIF":4.3000,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Velocity divergence—Generalized adaptive probability density evolution method\",\"authors\":\"Qiang Xu,&nbsp;Jianyun Chen,&nbsp;Jingkai Wang,&nbsp;Jing Li,&nbsp;Yin Wang\",\"doi\":\"10.1002/eqe.4192\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This study proposes a novel velocity divergence-generalized adaptive probability density evolution method (VD-GAPDEM) for calculating the probability density function of the stochastic response process of stochastic structures under stochastic dynamic loads. First, based on the principle of probability conservation, the velocity divergence-generalized adaptive probability density evolution equation (VD-GAPDEE) is derived for a stochastic system that can effectively consider the shape and location changes of the joint transitional probability density of representative points (RPs) in the stochastic response process. Second, a novel VD-GAPDEM is proposed to solve the VD-GAPDEE directly using the point selection technique based on the generalized F discrepancy and the second-order Runge–Kutta method with a smoothing kernel method (Runge–Kutta-SKFAM). Furthermore, the differences and connections between VD-GAPDEM and the existing probability density evolution method are analyzed. Additionally, the high computational efficiency and accuracy of the proposed VD-GAPDEM are demonstrated through three typical examples of stochastic response analysis, involving stochastic systems subjected to stochastic dynamic loads.</p>\",\"PeriodicalId\":11390,\"journal\":{\"name\":\"Earthquake Engineering & Structural Dynamics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.3000,\"publicationDate\":\"2024-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Earthquake Engineering & Structural Dynamics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/eqe.4192\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, CIVIL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Earthquake Engineering & Structural Dynamics","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/eqe.4192","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
引用次数: 0

摘要

本研究提出了一种新颖的速度发散-广义自适应概率密度演化方法(VD-GAPDEM),用于计算随机结构在随机动荷载作用下的随机响应过程的概率密度函数。首先,基于概率守恒原理,推导出随机系统的速度发散广义自适应概率密度演化方程(VD-GAPDEE),该方程能有效地考虑随机响应过程中代表点(RPs)的联合过渡概率密度的形状和位置变化。其次,提出了一种新的 VD-GAPDEM 方法,利用基于广义 F 差异的选点技术和二阶 Runge-Kutta 方法与平滑核方法(Runge-Kutta-SKFAM)直接求解 VD-GAPDEE。此外,还分析了 VD-GAPDEM 与现有概率密度演化方法的区别和联系。此外,通过三个典型的随机响应分析实例(涉及承受随机动态载荷的随机系统),证明了所提出的 VD-GAPDEM 的高计算效率和准确性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Velocity divergence—Generalized adaptive probability density evolution method

This study proposes a novel velocity divergence-generalized adaptive probability density evolution method (VD-GAPDEM) for calculating the probability density function of the stochastic response process of stochastic structures under stochastic dynamic loads. First, based on the principle of probability conservation, the velocity divergence-generalized adaptive probability density evolution equation (VD-GAPDEE) is derived for a stochastic system that can effectively consider the shape and location changes of the joint transitional probability density of representative points (RPs) in the stochastic response process. Second, a novel VD-GAPDEM is proposed to solve the VD-GAPDEE directly using the point selection technique based on the generalized F discrepancy and the second-order Runge–Kutta method with a smoothing kernel method (Runge–Kutta-SKFAM). Furthermore, the differences and connections between VD-GAPDEM and the existing probability density evolution method are analyzed. Additionally, the high computational efficiency and accuracy of the proposed VD-GAPDEM are demonstrated through three typical examples of stochastic response analysis, involving stochastic systems subjected to stochastic dynamic loads.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Earthquake Engineering & Structural Dynamics
Earthquake Engineering & Structural Dynamics 工程技术-工程:地质
CiteScore
7.20
自引率
13.30%
发文量
180
审稿时长
4.8 months
期刊介绍: Earthquake Engineering and Structural Dynamics provides a forum for the publication of papers on several aspects of engineering related to earthquakes. The problems in this field, and their solutions, are international in character and require knowledge of several traditional disciplines; the Journal will reflect this. Papers that may be relevant but do not emphasize earthquake engineering and related structural dynamics are not suitable for the Journal. Relevant topics include the following: ground motions for analysis and design geotechnical earthquake engineering probabilistic and deterministic methods of dynamic analysis experimental behaviour of structures seismic protective systems system identification risk assessment seismic code requirements methods for earthquake-resistant design and retrofit of structures.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信