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- W1981005412 abstract "Abstract An alternative to the linearization technique in oscillator problems of the type x + f(x) = 0 is studied in which these equations are approximated by others of cubic type x + a 3 x 3 = 0 using a weighted mean-square method. This “cubication” method is checked by studying the period, energy and solution for several examples. For all forces with odd polynomials and a positive largest coefficient, cubication is more accurate than linearization for large amplitudes, and for all amplitudes if f(x) has a cubic and no linear term. For the softening-hardening cubic forces, cubication gives better results than linearization. However, for the softening cubic forces and the flattening springs examined here, linearization is more suitable than cubication." @default.
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- W1981005412 date "1989-11-01" @default.
- W1981005412 modified "2023-10-02" @default.
- W1981005412 title "A weighted mean-square method of “cubication” for non-linear oscillators" @default.
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- W1981005412 doi "https://doi.org/10.1016/0022-460x(89)90567-1" @default.
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