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A Transformation Method for Solving Conservative Nonlinear Two-Degree-of-Freedom Systems
Author(s) -
Alex Elı́as-Zúñiga,
Daniel Olvera-Trejo,
I. Ferrer,
Óscar Martínez-Romero
Publication year - 2014
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2014/237234
Subject(s) - nonlinear system , transformation (genetics) , mathematics , representation (politics) , degree (music) , motion (physics) , mathematical analysis , equations of motion , calculus (dental) , classical mechanics , physics , medicine , biochemistry , chemistry , dentistry , law , gene , quantum mechanics , politics , political science , acoustics
A nonlinear transformation approach based on a cubication method is developed to obtain the equivalent representation form of conservative two-degree-of-freedom nonlinear oscillators. It is shown that this procedure leads to equivalent nonlinear equations that describe wellthe numerical integration solutions of the original equations of motion

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