A Transformation Method for Solving Conservative Nonlinear Two-Degree-of-Freedom Systems-Reference-Cited by-同舟云学术

A Transformation Method for Solving Conservative Nonlinear Two-Degree-of-Freedom Systems

Published:2014 Issue: Volume:2014 Page:1-14
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Elías-Zúñiga Alex¹,Olvera Trejo Daniel¹,Ferrer Real Inés¹,Martínez-Romero Oscar¹

Affiliation:

1. Departamento de Ingeniería Mecánica, Tecnológico de Monterrey, Campus Monterrey, E. Garza Sada 2501 Sur, 64849 Monterrey, N.L., Mexico

Abstract

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 well the numerical integration solutions of the original equations of motion.

Funder

Tecnológico de Monterrey-Campus Monterrey

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2014/237234.pdf

Reference19 articles.

1. Accurate Solutions of Conservative Nonlinear Oscillators by the Enhanced Cubication Method

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

3. NORMAL MODE LOCALIZATION FOR A TWO DEGREES-OF-FREEDOM SYSTEM WITH QUADRATIC AND CUBIC NON-LINEARITIES

4. Hardening/softening behaviour in non-linear oscillations of structural systems using non-linear normal modes

5. Exploring the performance of a nonlinear tuned mass damper

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