{"title":"外压有限圆圆柱壳的静力屈曲","authors":"A. Ette, J. Onwuchekwa","doi":"10.4314/JONAMP.V11I1.40226","DOIUrl":null,"url":null,"abstract":"The static buckling behaviour of an imperfect finite cylindrical shell, stressed by either a lateral or hydrostatic pressure, is here investigated by assuming that the imperfection can be regarded as the first term in the Fourier sine series expansion .The buckling modes are assumed to be in the shape of the imperfection which is in turn given in the shape of the classical buckling mode .Regular perturbation technique in asymptotic expansions of the relevant parameters is used and a simple expression for determining the static buckling load of the structure is determined. It is observed that , this procedure, perhaps more than other ones ,can be used to analyze relatively more complicated problems particularly where more demands and restrictions are placed on the imperfection parameter. The result is strictly asymptotic. JONAMP Vol. 11 2007: pp. 323-332","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"61 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On the static buckling of an externally pressurized finite circular cylindrical shell\",\"authors\":\"A. Ette, J. Onwuchekwa\",\"doi\":\"10.4314/JONAMP.V11I1.40226\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The static buckling behaviour of an imperfect finite cylindrical shell, stressed by either a lateral or hydrostatic pressure, is here investigated by assuming that the imperfection can be regarded as the first term in the Fourier sine series expansion .The buckling modes are assumed to be in the shape of the imperfection which is in turn given in the shape of the classical buckling mode .Regular perturbation technique in asymptotic expansions of the relevant parameters is used and a simple expression for determining the static buckling load of the structure is determined. It is observed that , this procedure, perhaps more than other ones ,can be used to analyze relatively more complicated problems particularly where more demands and restrictions are placed on the imperfection parameter. The result is strictly asymptotic. JONAMP Vol. 11 2007: pp. 323-332\",\"PeriodicalId\":402697,\"journal\":{\"name\":\"Journal of the Nigerian Association of Mathematical Physics\",\"volume\":\"61 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-06-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Nigerian Association of Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4314/JONAMP.V11I1.40226\",\"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.V11I1.40226","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
摘要
不完全有限圆柱壳在侧向压力或静水压力作用下的静力屈曲行为本文通过假设缺陷可以看作是傅里叶正弦级数展开的第一项来研究结构的静态屈曲载荷。屈曲模态被假设为缺陷的形状,而缺陷的形状又以经典屈曲模态的形状给出。在相关参数的渐近展开中使用正则微扰技术,并确定了确定结构静态屈曲载荷的简单表达式。可以观察到,这个程序可能比其他程序更能用于分析相对复杂的问题,特别是在对不完美参数提出更多要求和限制的情况下。结果是严格渐近的。JONAMP Vol. 11 2007: pp. 323-332
On the static buckling of an externally pressurized finite circular cylindrical shell
The static buckling behaviour of an imperfect finite cylindrical shell, stressed by either a lateral or hydrostatic pressure, is here investigated by assuming that the imperfection can be regarded as the first term in the Fourier sine series expansion .The buckling modes are assumed to be in the shape of the imperfection which is in turn given in the shape of the classical buckling mode .Regular perturbation technique in asymptotic expansions of the relevant parameters is used and a simple expression for determining the static buckling load of the structure is determined. It is observed that , this procedure, perhaps more than other ones ,can be used to analyze relatively more complicated problems particularly where more demands and restrictions are placed on the imperfection parameter. The result is strictly asymptotic. JONAMP Vol. 11 2007: pp. 323-332