The Equivalent Linearization Method with a Weighted Averaging for Analyzing of Nonlinear Vibrating Systems
2017; Brazilian Society of Mechanical Sciences and Engineering; Volume: 14; Issue: 9 Linguagem: Inglês
10.1590/1679-78253488
ISSN1679-7825
AutoresNguyen Dong Anh, Ninh Quang Hai, Dang Van Hieu,
Tópico(s)Bladed Disk Vibration Dynamics
ResumoIn this paper, the Equivalent Linearization Method (ELM) with a weighted averaging, which is proposed by Anh (Anh, 2015), is applied to analyze some vibrating systems with nonlinearities. The strongly nonlinear Duffing oscillator with third, fifth, and seventh powers of the amplitude, the other strongly nonlinear oscillators and the cubic Duffing with discontinuity are considered. The results obtained via this method are compared with the ones achieved by the Min-Max Approach (MMA), the Modified Lindstedt - Poincare Method (MLPM), the Parameter - Expansion Method (PEM), the Homotopy Perturbation Method (HPM) and 4th order Runge-Kutta method. The obtained results demonstrate that this method is very convenient for solving nonlinear equations and also can be successfully exerted to a lot of practical engineering and physical problems.
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