Engineering Transactions, 41, 3-4, pp. 243-261, 1993

Analysis of Complex Nonlinear Dynamic Systems by Means of Partial Models. Convergence of Iterative Procedures

T.L. Stańczyk
Kielce University of Technology, Kielce
Poland

Problems of iterative convergence in the analysis of complex dynamic systems with the use of partial models are dealt with. Nonlinear systems are considered. An example of some nonlinear system and the suitable iteration process are presented. The time analysis is also dealt with. On the assumption that the solutions of the system can by expanded in power series with respect to a small parameter, the general condition of convergence is formulated. Limitations for the successive derivatives of nonlinear stiffness characteristics are determined as a consequence of the convergence conditions of the procedures.

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References

L.I.MANDELSTAM, Full collection of papers [in Russian], T.4, Lectures on Vibrations, Izd. ANSSSR, Moskva 1955.

J.OSIECKI, T.L.STAŃCZYK, Method of analysis of complex dynamic systems with the use of partial models [in Polish], Biul. WAT, 7, 1991.

J.OSIECKI, T.L.STAŃCZYK, Z.KAŁUŻA, Z.DZIOPA, Computational system for dynamic loading of trucks (description of the program ADSC) [in Polish], Materiały Konferencji n.t. Badania symulacyjne w technice samochodowej, Lublin 1991.

T.L.STAŃCZYK, On convergence of iterative procedures for analysis of complex linear dynamic systems by means of partial models, Engng. Trans., 40, 3, 295-312, 1992.

T.L.STAŃCZYK, Application of perturbation methods in the analysis of complex dynamic systems by means of the partial models [in Polish], Materiały Konferencji n.t. Układy dynamiczne w aspekcie teorii i zastosowań, Łódź 1992.




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