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- W2027277684 abstract "Abstract Combining Krylov–Bogoliubov–Mitropolskii (KBM) and harmonic balance methods, an analytical technique is presented to determine approximate solutions of nonlinear oscillatory systems with damping. The first approximate perturbation solutions in which the unperturbed solutions contain two harmonic terms agree with numerical solutions nicely even if the damping force is significant. With suitable examples it has been shown that the combination of classical KBM and harmonic balance methods sometimes fails to measure satisfactory results; but the combination of extended KBM method (by Popov) and harmonic balance method always give the desired results. The method is illustrated by several examples and the solutions are compared to some existing solutions." @default.
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- W2027277684 date "2011-06-01" @default.
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- W2027277684 title "An analytical technique to find approximate solutions of nonlinear damped oscillatory systems" @default.
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- W2027277684 doi "https://doi.org/10.1016/j.jfranklin.2011.03.001" @default.
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