Shuxia Wang, Jianyuan He, Jia Fan, Panxu Sun, D. Wang
{"title":"基于复阻尼模型的等效粘性阻尼系统自由振动响应时域方法","authors":"Shuxia Wang, Jianyuan He, Jia Fan, Panxu Sun, D. Wang","doi":"10.1177/14613484231157514","DOIUrl":null,"url":null,"abstract":"The free vibration responses are divergent based on a complex time-domain damping model. The traditional step by step integration method cannot be used to calculate the time-domain responses. Based on the theoretic solution that eliminates the divergent term for the complex damping model, the equivalent viscous damping model is proposed and the corresponding average acceleration method is realized in this paper. The numerical cases show that the calculated results of the equivalent viscous damped system are convergent, which are equal to the ones of the deleted divergent term based on the complex damping model. The correctness of the proposed method is verified, and the computational efficiency is high.","PeriodicalId":56067,"journal":{"name":"Journal of Low Frequency Noise Vibration and Active Control","volume":"69 1","pages":"1531 - 1540"},"PeriodicalIF":2.8000,"publicationDate":"2023-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A time-domain method for free vibration responses of an equivalent viscous damped system based on a complex damping model\",\"authors\":\"Shuxia Wang, Jianyuan He, Jia Fan, Panxu Sun, D. Wang\",\"doi\":\"10.1177/14613484231157514\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The free vibration responses are divergent based on a complex time-domain damping model. The traditional step by step integration method cannot be used to calculate the time-domain responses. Based on the theoretic solution that eliminates the divergent term for the complex damping model, the equivalent viscous damping model is proposed and the corresponding average acceleration method is realized in this paper. The numerical cases show that the calculated results of the equivalent viscous damped system are convergent, which are equal to the ones of the deleted divergent term based on the complex damping model. The correctness of the proposed method is verified, and the computational efficiency is high.\",\"PeriodicalId\":56067,\"journal\":{\"name\":\"Journal of Low Frequency Noise Vibration and Active Control\",\"volume\":\"69 1\",\"pages\":\"1531 - 1540\"},\"PeriodicalIF\":2.8000,\"publicationDate\":\"2023-02-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Low Frequency Noise Vibration and Active Control\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1177/14613484231157514\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ACOUSTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Low Frequency Noise Vibration and Active Control","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1177/14613484231157514","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ACOUSTICS","Score":null,"Total":0}
A time-domain method for free vibration responses of an equivalent viscous damped system based on a complex damping model
The free vibration responses are divergent based on a complex time-domain damping model. The traditional step by step integration method cannot be used to calculate the time-domain responses. Based on the theoretic solution that eliminates the divergent term for the complex damping model, the equivalent viscous damping model is proposed and the corresponding average acceleration method is realized in this paper. The numerical cases show that the calculated results of the equivalent viscous damped system are convergent, which are equal to the ones of the deleted divergent term based on the complex damping model. The correctness of the proposed method is verified, and the computational efficiency is high.
期刊介绍:
Journal of Low Frequency Noise, Vibration & Active Control is a peer-reviewed, open access journal, bringing together material which otherwise would be scattered. The journal is the cornerstone of the creation of a unified corpus of knowledge on the subject.