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, Jianyun Chen, Jingkai Wang, Jing Li, 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, Jianyun Chen, Jingkai Wang, Jing Li, 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}
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.
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.