The Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Nonlinear Oscillators
2018; Hindawi Publishing Corporation; Volume: 2018; Linguagem: Inglês
10.1155/2018/7487851
ISSN1687-0042
AutoresDang Van Hieu, Ninh Quang Hai, The-Hung Duong,
Tópico(s)Nonlinear Waves and Solitons
ResumoThe Equivalent Linearization Method (ELM) with a weighted averaging is applied to analyze five undamped oscillator systems with nonlinearities. The results obtained via this method are compared with the ones achieved by Parameterized Perturbation Method (PPM), Min–Max Approach (MMA), Variational Iteration Method (VIM), Homotopy Perturbation Method (HPM), Energy Balance Method (EBM), Harmonic Balance Method (HBM), 4th-Order Runge-Kutta Method, and the exact ones. The obtained results demonstrate that this method is very convenient for solving nonlinear equations and also can be successfully applied to a lot of practical engineering and physical problems.
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