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Erschienen in:
2015 | OriginalPaper | Buchkapitel
Scalability of Shooting Method for Nonlinear Dynamical Systems
verfasst von : Stanislav Stoykov, Svetozar Margenov
Erschienen in: Large-Scale Scientific Computing
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Abstract
The computation of periodic solutions of nonlinear dynamical systems is essential step for their analysis. The variation of the steady-state periodic responses of elastic structures with the frequency of vibration or with the excitation frequency provides valuable information about the dynamical behavior of the structure. Shooting method computes iteratively the periodic solutions of dynamical systems. In the current paper a parallel implementation of the shooting method is presented. The nonlinear equation of motion of Bernoulli-Euler beam is used as a model equation. Large-scale system of ordinary differential equations is generated by applying the finite element method. The speedup and efficiency of the method are studied and presented.