Application of the differential transformation method to the solution of a damped system with high nonlinearity

DOI10.1016/j.na.2008.02.056zbMath1168.34301OpenAlexW2078425763MaRDI QIDQ1005283

Cheng-Ying Lo, Bor-Lih Kuo

Publication date: 9 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.02.056

zbMATH Keywords

differential transformation methodnonlinearityRunge-Kutta methodvibrationdamped system

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

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Cites Work

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• On damped nonlinear dynamic systems with many degrees of freedom
• Analysis of the response of a strongly nonlinear damped system using a differential transformation technique
• Transverse vibration of a rotating twisted Timoshenko beams under axial loading using differential transform
• Asymptotical behaviour of a system with damping and high power-form non-linearity
• A ROLE OF INITIAL CONDITIONS CHOICE ON THE RESULTS OBTAINED USING DIFFERENT PERTURBATION METHODS
• ANALYTICAL STUDY OF VIBRATING SYSTEMS WITH STRONG NON-LINEARITIES BY EMPLOYING SAW-TOOTH TIME TRANSFORMATIONS

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