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Numerical stability analysis in structural dynamics. (English) Zbl 0979.74032

From the summary: We introduce a unified stability concept based on Lyapunov exponents. From this, suitable numerical procedures for different stability problems can be derived directly. The efficiency of the proposed algorithms is documented by means of an example.

MSC:

74H55 Stability of dynamical problems in solid mechanics
74H60 Dynamical bifurcation of solutions to dynamical problems in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
37N15 Dynamical systems in solid mechanics
74H65 Chaotic behavior of solutions to dynamical problems in solid mechanics
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References:

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