Exact solutions for the buckling of rectangular plates having linearly varying in-plane loading on two opposite simply supported edges
DC Field | Value | Language |
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dc.contributor.author | Kang, JH | - |
dc.contributor.author | Leissa, AW | - |
dc.date.available | 2019-05-30T07:37:56Z | - |
dc.date.issued | 2005-07 | - |
dc.identifier.issn | 0020-7683 | - |
dc.identifier.issn | 1879-2146 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/24576 | - |
dc.description.abstract | An exact solution procedure is formulated for the buckling analysis of rectangular plates having two opposite edges (x = 0 and a) simply supported when these edges are subjected to linearly varying normal stresses sigma(x) = -N-0[1 - alpha(y/b)]/h, where It is the plate thickness. The other two edges (y = 0 and b) may be clamped, simply supported or free, or they may be elastically supported. By assuming the transverse displacement (w) to vary as, sin(m pi x/a), the governing partial differential equation of motion is reduced to an ordinary differential equation in y with variable coefficients, for which an exact solution is obtained as a power series (i.e., the method of Frobenius). Applying the boundary conditions at y = 0 and b yields the eigenvalue problem of finding the roots of a fourth order characteristic determinant. Care must be exercised to retain sufficient terms in the power series in calculating accurate buckling loads, as is demonstrated by a convergence table for all nine possible combinations of unloaded clamped, simply supported or free edges at y 0 and b. Buckling loads are presented for all nine possible edge combinations over the range of aspect ratios 0.5 <= a/b <= 3 for loading parameters a = 0, 0.5, 1, 1.5, 2, for which alpha = 2 is a pure in-plane bending moment. Some interesting contour plots of their mode shapes are presented for a variety of edge conditions and in-plane moment loadings. Because the nondimensional buckling parameters depend upon the Poisson's ratio (v) for five of the nine edge combinations, results are shown for them for the complete range, 0 <= v <= 0.5 valid for isotropic materials. Comparisons are made with results available in the published literature. (c) 2004 Elsevier Ltd. All rights reserved. | - |
dc.format.extent | 19 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.title | Exact solutions for the buckling of rectangular plates having linearly varying in-plane loading on two opposite simply supported edges | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/j.ijsolstr.2004.12.011 | - |
dc.identifier.bibliographicCitation | INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, v.42, no.14, pp 4220 - 4238 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.wosid | 000228273600012 | - |
dc.identifier.scopusid | 2-s2.0-13844306824 | - |
dc.citation.endPage | 4238 | - |
dc.citation.number | 14 | - |
dc.citation.startPage | 4220 | - |
dc.citation.title | INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | - |
dc.citation.volume | 42 | - |
dc.type.docType | Article | - |
dc.publisher.location | 영국 | - |
dc.subject.keywordAuthor | buckling | - |
dc.subject.keywordAuthor | rectangular plate | - |
dc.subject.keywordAuthor | exact solution | - |
dc.subject.keywordAuthor | frobenius method | - |
dc.subject.keywordAuthor | in-plane buckling load | - |
dc.subject.keywordAuthor | linearly varying in-plane load | - |
dc.subject.keywordPlus | STEEL PLATES | - |
dc.subject.keywordPlus | VIBRATION | - |
dc.relation.journalResearchArea | Mechanics | - |
dc.relation.journalWebOfScienceCategory | Mechanics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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