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An unconditionally stable explicit algorithm for structural dynamics

✍ Scribed by D. M. Trujillo

Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
656 KB
Volume
11
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

This paper presents an unconditionally stable explicit algorithm for the direct integration of the structural dynamic equations of motion. The algorithm is restricted to a diagonal mass matrix and positive definite symmetric stiffness and damping matrices. The algorithm is based on splitting the stiffness and damping matrices into strictly lower and upper trangular form. Unconditional stability is proven, but only for the undamped case and a completely symmetric splitting of the stiffness matrix. An alternate splitting method is also presented and numerical examples indicate superior performance over the symmetric splitting, but only a conditional stability. A spring‐mass‐dashpot model is used to illustrate the algorithm.

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