{"title":"非线性振动圆柱壳的正则摄动动力学分析","authors":"M. Jiya, Y. Aiyesimi","doi":"10.4314/JONAMP.V11I1.40224","DOIUrl":null,"url":null,"abstract":"We investigated in this paper the effect of non-linear vibration of a circular cylindrical shell subject to axially symmetric loading. We consider the approximation of the equation using the regular perturbation technique and thereby solving the resulting linear equation analytically. The result indicates an exponential decay away from the edge of the shell, which is one of the unique characteristics of a shell. From the numerically simulated results it was observed that increase in the excitation amplitude produces a wrinkling effect on the shell. JONAMP Vol. 11 2007: pp. 301-310","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dynamic Analysis of a non-linear vibrating circular cylindrical shell using the regular perturbation technique\",\"authors\":\"M. Jiya, Y. Aiyesimi\",\"doi\":\"10.4314/JONAMP.V11I1.40224\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigated in this paper the effect of non-linear vibration of a circular cylindrical shell subject to axially symmetric loading. We consider the approximation of the equation using the regular perturbation technique and thereby solving the resulting linear equation analytically. The result indicates an exponential decay away from the edge of the shell, which is one of the unique characteristics of a shell. From the numerically simulated results it was observed that increase in the excitation amplitude produces a wrinkling effect on the shell. JONAMP Vol. 11 2007: pp. 301-310\",\"PeriodicalId\":402697,\"journal\":{\"name\":\"Journal of the Nigerian Association of Mathematical Physics\",\"volume\":\"48 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-06-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Nigerian Association of Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4314/JONAMP.V11I1.40224\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Nigerian Association of Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/JONAMP.V11I1.40224","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文研究了圆柱圆柱壳在轴对称载荷作用下的非线性振动效应。我们考虑用正则摄动技术逼近方程，从而解析求解得到的线性方程。结果表明，在远离壳层边缘处呈指数衰减，这是壳层的独特特征之一。数值模拟结果表明，激励幅值的增加会对壳体产生起皱效应。JONAMP Vol. 11 2007: pp. 301-310
Dynamic Analysis of a non-linear vibrating circular cylindrical shell using the regular perturbation technique
We investigated in this paper the effect of non-linear vibration of a circular cylindrical shell subject to axially symmetric loading. We consider the approximation of the equation using the regular perturbation technique and thereby solving the resulting linear equation analytically. The result indicates an exponential decay away from the edge of the shell, which is one of the unique characteristics of a shell. From the numerically simulated results it was observed that increase in the excitation amplitude produces a wrinkling effect on the shell. JONAMP Vol. 11 2007: pp. 301-310
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