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- W2029691799 abstract "A general (applicable to arbitrary nonlinearity) linearization method above the phase curve is detailed in this paper. It is shown that the proposed method – based on the first harmonic approximation provided by the method itself – is capable of establishing the amplitudes of higher-order harmonics in order to improve the accuracy of the first approximation. The applicability of our method is demonstrated through the analytical–numerical analysis of well-known (cubic truly-nonlinear (TNL) and van der Pol) single-degree-of-freedom (SDOF), harmonically-forced nonlinear systems. The obtained results are compared with solutions in the literature that are considered to be exact. This comparison demonstrates the accuracy, efficiency and applicability of the proposed linearization procedure to arbitrary periodically-forced nonlinear vibrations. Thus, on the whole, the relevance of the method is justified." @default.
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- W2029691799 date "2003-07-01" @default.
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- W2029691799 title "A combined equivalent linearization and averaging perturbation method for non-linear oscillator equations" @default.
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