TY - EJOUR
PY - 2023
DA - November
TI - Determination of the amplitude-frequency for strongly nonlinear oscillator by two approximate analytical techniques
T2 - Journal of Theoretical and Applied Physics
VL - 7
L1 - https://oiccpress.com/journal-of-theoretical-and-applied-physics/article/determination-of-the-amplitude-frequency-for-strongly-nonlinear-oscillator-by-two-approximate-analytical-techniques/
DO - 10.1186/2251-7235-7-38
N2 - AbstractIn this paper, we investigate two of the analytical approximate techniques, energy balance method and amplitude-frequency formulation, and these approximate techniques are applied to solve the strongly nonlinear differential equation of a mass attached to the center of a stretched elastic wire. We present a comparative study between the energy balance method and amplitude-frequency formulation with exact solution. The approximate results reveal that these methods are very effective and convenient for determining the frequencies of nonlinear dynamical systems.
IS - 1
PB - OICC Press
KW - Nonlinear differential equation, Nonlinear oscillator, Amplitude, Energy balance method, Exact solution, Frequency formulation 
EN -