Investigation of the Equivalent Representation Form of Strongly Damped Nonlinear Oscillators by a Nonlinear Transformation Approach | Zendy

Alex Elı́as-Zúñiga | Zendy; Óscar Martínez-Romero | Zendy

Open Access

Investigation of the Equivalent Representation Form of Strongly Damped Nonlinear Oscillators by a Nonlinear Transformation Approach

Author(s) -

Alex Elı́as-Zúñiga,

Óscar Martínez-Romero

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/245092

Subject(s) - nonlinear system , transformation (genetics) , mathematics , motion (physics) , mathematical analysis , homogeneous , representation (politics) , equations of motion , amplitude , classical mechanics , physics , biochemistry , chemistry , quantum mechanics , combinatorics , politics , political science , law , gene

We use a nonlinear transformation method to develop equivalent equations of motion of nonlinear homogeneous oscillatory systems with linear and nonlinear odd damping terms. We illustrate theapplicability of our approach by using the equations of motion that arise in many engineering problems and compare their amplitude-time curves with those obtained by the numerical integration solutions of the original equationsof motion

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