{"title":"非稳态地震激励下塑性铰链框架结构等效线性化的有效方法","authors":"Huan Huang, Yingxiong Li, Yuyu Li","doi":"10.1007/s11803-024-2265-5","DOIUrl":null,"url":null,"abstract":"<p>An efficient approach is proposed for the equivalent linearization of frame structures with plastic hinges under nonstationary seismic excitations. The concentrated plastic hinges, described by the Bouc-Wen model, are assumed to occur at the two ends of a linear-elastic beam element. The auxiliary differential equations governing the plastic rotational displacements and their corresponding hysteretic displacements are replaced with linearized differential equations. Then, the two sets of equations of motion for the original nonlinear system can be reduced to an expanded-order equivalent linearized equation of motion for equivalent linear systems. To solve the equation of motion for equivalent linear systems, the nonstationary random vibration analysis is carried out based on the explicit time-domain method with high efficiency. Finally, the proposed treatment method for initial values of equivalent parameters is investigated in conjunction with parallel computing technology, which provides a new way of obtaining the equivalent linear systems at different time instants. Based on the explicit time-domain method, the key responses of interest of the converged equivalent linear system can be calculated through dimension reduction analysis with high efficiency. Numerical examples indicate that the proposed approach has high computational efficiency, and shows good applicability to weak nonlinear and medium-intensity nonlinear systems.</p>","PeriodicalId":11416,"journal":{"name":"Earthquake Engineering and Engineering Vibration","volume":null,"pages":null},"PeriodicalIF":2.6000,"publicationDate":"2024-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An efficient approach for the equivalent linearization of frame structures with plastic hinges under nonstationary seismic excitations\",\"authors\":\"Huan Huang, Yingxiong Li, Yuyu Li\",\"doi\":\"10.1007/s11803-024-2265-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>An efficient approach is proposed for the equivalent linearization of frame structures with plastic hinges under nonstationary seismic excitations. The concentrated plastic hinges, described by the Bouc-Wen model, are assumed to occur at the two ends of a linear-elastic beam element. The auxiliary differential equations governing the plastic rotational displacements and their corresponding hysteretic displacements are replaced with linearized differential equations. Then, the two sets of equations of motion for the original nonlinear system can be reduced to an expanded-order equivalent linearized equation of motion for equivalent linear systems. To solve the equation of motion for equivalent linear systems, the nonstationary random vibration analysis is carried out based on the explicit time-domain method with high efficiency. Finally, the proposed treatment method for initial values of equivalent parameters is investigated in conjunction with parallel computing technology, which provides a new way of obtaining the equivalent linear systems at different time instants. Based on the explicit time-domain method, the key responses of interest of the converged equivalent linear system can be calculated through dimension reduction analysis with high efficiency. Numerical examples indicate that the proposed approach has high computational efficiency, and shows good applicability to weak nonlinear and medium-intensity nonlinear systems.</p>\",\"PeriodicalId\":11416,\"journal\":{\"name\":\"Earthquake Engineering and Engineering Vibration\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.6000,\"publicationDate\":\"2024-07-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Earthquake Engineering and Engineering Vibration\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1007/s11803-024-2265-5\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, CIVIL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Earthquake Engineering and Engineering Vibration","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s11803-024-2265-5","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
An efficient approach for the equivalent linearization of frame structures with plastic hinges under nonstationary seismic excitations
An efficient approach is proposed for the equivalent linearization of frame structures with plastic hinges under nonstationary seismic excitations. The concentrated plastic hinges, described by the Bouc-Wen model, are assumed to occur at the two ends of a linear-elastic beam element. The auxiliary differential equations governing the plastic rotational displacements and their corresponding hysteretic displacements are replaced with linearized differential equations. Then, the two sets of equations of motion for the original nonlinear system can be reduced to an expanded-order equivalent linearized equation of motion for equivalent linear systems. To solve the equation of motion for equivalent linear systems, the nonstationary random vibration analysis is carried out based on the explicit time-domain method with high efficiency. Finally, the proposed treatment method for initial values of equivalent parameters is investigated in conjunction with parallel computing technology, which provides a new way of obtaining the equivalent linear systems at different time instants. Based on the explicit time-domain method, the key responses of interest of the converged equivalent linear system can be calculated through dimension reduction analysis with high efficiency. Numerical examples indicate that the proposed approach has high computational efficiency, and shows good applicability to weak nonlinear and medium-intensity nonlinear systems.
期刊介绍:
Earthquake Engineering and Engineering Vibration is an international journal sponsored by the Institute of Engineering Mechanics (IEM), China Earthquake Administration in cooperation with the Multidisciplinary Center for Earthquake Engineering Research (MCEER), and State University of New York at Buffalo. It promotes scientific exchange between Chinese and foreign scientists and engineers, to improve the theory and practice of earthquake hazards mitigation, preparedness, and recovery.
The journal focuses on earthquake engineering in all aspects, including seismology, tsunamis, ground motion characteristics, soil and foundation dynamics, wave propagation, probabilistic and deterministic methods of dynamic analysis, behavior of structures, and methods for earthquake resistant design and retrofit of structures that are germane to practicing engineers. It includes seismic code requirements, as well as supplemental energy dissipation, base isolation, and structural control.