scholarly journals Lyapunov Equivalent Representation Form of Forced, Damped, Nonlinear, Two Degree-of-Freedom Systems

2018 ◽  
Vol 8 (4) ◽  
pp. 649 ◽  
Author(s):  
Alex Elías-Zúñiga ◽  
Luis Palacios-Pineda ◽  
Daniel Olvera-Trejo ◽  
Oscar Martínez-Romero
Keyword(s):  
Degree Of Freedom ◽  
Equivalent Representation ◽  
Representation Form ◽  
Two Degree Of Freedom

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

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Alex Elías-Zúñiga ◽  
Daniel Olvera Trejo ◽  
Inés Ferrer Real ◽  
Oscar Martínez-Romero
Keyword(s):  
Numerical Integration ◽  
Nonlinear Equations ◽  
Equations Of Motion ◽  
Nonlinear Oscillators ◽  
Transformation Method ◽  
Degree Of Freedom ◽  
Nonlinear Transformation ◽  
Equivalent Representation ◽  
Representation Form ◽  
Two Degree Of Freedom

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.

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