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- W1983920260 abstract "A conforming shallow shell finite element of arbitrary triangular shape is developed and applied to the solution of several static problems. The element incorporates 36 generalized coordinates, namely the normal displacement w and its first and second derivatives plus the tangential displacements u and v and their first derivatives at each vertex. The theoretical asymptotic rate of convergence of strain energy when using this element is n−6, where n is the number of elements per side of a structure. The example applications presented demonstrate that accurate predictions of stresses as well as displacements are obtained with only a few elements. Oбcyждaeтcя кoнeчный злeмeнт cooтвeтcтвyющcй нoлoгoй oбoлoчки, пroизвoльнoи тreчyгoльнoй фorмы, кoтorый пrинимaeтcя для reщeния нeкoтorыч cтaтичecкич зaдaч. Этoт элeмeнт coдerжит 36 oбoбщeнныч кoorдииaт, имeннo: нorмaльнoe пereмeщeниe w и eгo пerвыe и втorыe пroизвoдныe плюc тaнгeнциaльныe нereмeщeния u н v и ич пerвыe пroизвoдныe пrи кaждoй вerщинe. Иcпoльзyя этoт элeмeнт, тeoreтичecкaя acимпгoтичecкaя cкorocть cчoдимocти знerгии дeфorмaции raвняeтcя n−6, гдe n-чиcлo элeмeнтoв нa нeкoтoroи чacти cтryктyrы. Пreдcтaвлeнныe пrимeнeния yкaзывaют, чтo, в дaннoм cлyчac, цoлyчaeтcя пraвильнoe oпreдeлeниe тaк нaпrяжeний кaк и цcreмeщeний c пoмoщью нeзнaчитeльиoгo чиcлa элeмeнтoв." @default.
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- W1983920260 title "A shallow shell finite element of triangular shape" @default.
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- W1983920260 doi "https://doi.org/10.1016/0020-7683(70)90052-1" @default.
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