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A note on the stability of Newmark's algorithm in nonlinear structural dynamics
In a recent paper Belytshko and Schoeberie obtain a stability theorem for the average acceleration method (beta=1/4 in the Newmark family) applied to structural dynamics problems involving small deformations of nonlinear materials. This note generalises this result in two ways. First the author shows how to include large deformations; and second, it is shown that essentially the same results can be proved for beta greater than 1/4. In addition, the paper identifies a potential problem area concerning one of the hypotheses of the theorems.
A note on the stability of Newmark's algorithm in nonlinear structural dynamics
In a recent paper Belytshko and Schoeberie obtain a stability theorem for the average acceleration method (beta=1/4 in the Newmark family) applied to structural dynamics problems involving small deformations of nonlinear materials. This note generalises this result in two ways. First the author shows how to include large deformations; and second, it is shown that essentially the same results can be proved for beta greater than 1/4. In addition, the paper identifies a potential problem area concerning one of the hypotheses of the theorems.
A note on the stability of Newmark's algorithm in nonlinear structural dynamics
Eine Betrachtung zur Stabilitaet des Newmark-Algorithmus in der nichtlinearen Baudynamik
Hughes, T.J.R. (author)
International Journal for Numerical Methods in Engineering ; 11 ; 383-386
1977
4 Seiten, 2 Quellen
Article (Journal)
English
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