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Trigonometric simplification of a class of conservative nonlinear oscillators
Nonlinear normal modes Stability Trigonometrification
2015/8/27
Thispaperdealswithaclassofconservative nonlinear oscillators of the form ¨ x(t) + f (x(t)) = 0,where f (x) is analytic. A transformation of time fromt to a new time coordinate τ is defined such that p...
Application of He's amplitude - frequency formulation for periodic solution of nonlinear oscillators
Nonlinear Oscillators He’s Amplitude-Frequency Formulation
2010/11/25
In this paper, a powerful analytical method, called He’s amplitude-frequency formulation (HAFF) is used to obtain a periodic solution of nonlinear oscillators differential equation that governs the os...