论文信息 - An Approximate Solution for One-Dimensional Weakly Nonlinear Oscillations

An Approximate Solution for One-Dimensional Weakly Nonlinear Oscillations

A combination of a perturbation method, variational iteration method, method of variation of constants and averaging method to establish an approximate solution of one-degree-of-freedom weakly non-linear system is presented. This method is a powerful tool for determination of general or periodic solutions of a non-linear equation of motion. We distinguish between two cases: "nonresonance" and "resonance" cases. These analytical research are verified with numerical examples and a very good agreement is found, which shows the applicability of the method.

V. Marinca | V. Marinca

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