{"title":"结构阻尼梁振动方程的混合有限体积元法","authors":"Ton-Lo Wang, Ziwen Jiang, Zhe Yin","doi":"10.4236/ajcm.2021.113014","DOIUrl":null,"url":null,"abstract":"In this \npaper, for the initial and boundary value problem of beams with structural damping, by introducing intermediate \nvariables, the original fourth-order problem is transformed into \nsecond-order partial differential equations, and the mixed finite volume \nelement scheme is constructed, and the existence, uniqueness and convergence of \nthe scheme are analyzed. Numerical examples are provided to confirm the theoretical results. In \nthe end, we test the value of δ to observe its influence on the \nmodel.","PeriodicalId":64456,"journal":{"name":"美国计算数学期刊(英文)","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Mixed Finite Volume Element Method for Vibration Equations of Beam with Structural Damping\",\"authors\":\"Ton-Lo Wang, Ziwen Jiang, Zhe Yin\",\"doi\":\"10.4236/ajcm.2021.113014\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this \\npaper, for the initial and boundary value problem of beams with structural damping, by introducing intermediate \\nvariables, the original fourth-order problem is transformed into \\nsecond-order partial differential equations, and the mixed finite volume \\nelement scheme is constructed, and the existence, uniqueness and convergence of \\nthe scheme are analyzed. Numerical examples are provided to confirm the theoretical results. In \\nthe end, we test the value of δ to observe its influence on the \\nmodel.\",\"PeriodicalId\":64456,\"journal\":{\"name\":\"美国计算数学期刊(英文)\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-09-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"美国计算数学期刊(英文)\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.4236/ajcm.2021.113014\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"美国计算数学期刊(英文)","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.4236/ajcm.2021.113014","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mixed Finite Volume Element Method for Vibration Equations of Beam with Structural Damping
In this
paper, for the initial and boundary value problem of beams with structural damping, by introducing intermediate
variables, the original fourth-order problem is transformed into
second-order partial differential equations, and the mixed finite volume
element scheme is constructed, and the existence, uniqueness and convergence of
the scheme are analyzed. Numerical examples are provided to confirm the theoretical results. In
the end, we test the value of δ to observe its influence on the
model.
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