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Orthogonal base functions and consistent diagonal mass matrices for two-dimensional elements (1979)

Schreyer, Howard L. ; Fedock, Joseph J.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 14 (1979), S. 1379-1398

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Details

ISSN: 0029-5981

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: Orthogonal base functions that are complete first-order polynomials but contain higher order terms are developed for normalized rectangular and triangular elements. To obtain exact expressions for kinetic energy under rigid body rotation, an internal node is introduced at the centroid of each element. Then the corresponding mass matrix is both diagonal and consistent. A mixed variational formulation is used in the derivation of spatially discretized field equations. Central Difference time integration is utilized to provide sample results which are compared with other numerical or analytical solutions.

Zusätzliches Material: 7 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/nme.1620140910

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