Triangular ring element with analytic expressions for stiffness and mass matrix

DOI10.1016/0045-7825(88)90124-7zbMath0633.73078OpenAlexW2089179783MaRDI QIDQ1096465

Troels Ladefoged

Publication date: 1988

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(88)90124-7

zbMATH Keywords

displacement fieldeigenvalue problemstiffnesslinear combinationsloadconsistent mass matrixsubspace iterationnonaxisymmetric vibrationfast, numerically stable analytical generationlinear and quadratic displacement assumptionspure axisymmetric problemtangential Fourier expansiontriangular ring element

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05)

Related Items (1)

Combining material and element rotation in one formula

Cites Work

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• The triangular elastic ring element with linear displacements
• Analysis of non-axisymmetric vibrations and the use of basic element matrices
• Natural frequencies of free finite-length circular cylinders
• Axisymmetric element analysis using analytical computing
• On computer-aided analytic element analysis and the similarities of tetrahedron elements
• Reduced integration technique in general analysis of plates and shells

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