Dynamic analysis of thin elastic noncircular conical shells

DOI10.1007/BF01176774zbMath0516.73060MaRDI QIDQ1052868

C. V. Massalas, G. J. Tzivanidis, Kostas P. Soldatos

Publication date: 1983

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

numerical resultsGalerkin's methodfree vibration problemsolved approximatelycertain closed convex plane curve as cross-sectionelliptical frustumsexpressed in terms of shell middle surface displacement componentsfrustums with clamped both edgesgeometrical characteristicsgeometrical characteristics of middle surface lines of curvatureKirchhoff-Love's assumptionslinear Donnell-type equations of motionnon- plane beta-lines of principle curvature expressed in terms of corresponding characteristics of conical base curveset of nonlinear high accuracy equations of motion for thin noncircular conical shellsseveral sets of equations of motionthin conical shell, in terms of middle surface orthogonal line-of-curvature coordinate system

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Shells (74K25) Membranes (74K15)

Cites Work

• Collapse analysis for elliptic cones
• The free vibration of rectangular plates
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