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Equation of free oscillation is solved approximately in the form that the velocity is a function of the displacement. For velocity a functional form which contains a polynomial with undetermined coeff...icients is assumed, and these coefficients determined by the method of moments. The approximations is fairly accurate either when the non-linear term is small or when the number of coefficients is large. To secure good approximation in cases of intermediate non-linearity, the necessary increase of the number of coefficients is replaced by a sucessive approximation method, which consists of the calculation of correction terms for velocity and amplitude, linearizing the equation by reason of the smallness of corrections. As examples non-linear damped oscillation and the Van der Pol's self-excited oscillation are treated with good accuracies.続きを見る
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1. Method of approximation.
2. Damped oscillation.
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Mendeley出力
