Comments on ‘ A finite extensibility nonlinear oscillator ’ Applied Mathematics
نویسندگان
چکیده
The aim of this comment is to extend the study of the dynamics of a finite extensibility nonlinear oscillator conducted by Febbo [M. Febbo, A finite extensibility nonlinear oscillator, Applied Mathematics and Computation 217 (2011) 6464-6475]. We show that the linearized harmonic balance method is not sufficiently adequate for this oscillator and that the harmonic balance method without linearization provides better results. We also discuss what happens when the oscillation amplitude approaches 1 and why the harmonic balance method does not give optimum results. For these values of the oscillation amplitude the periodic solution becomes markedly anharmonic and is almost straight between the turning points. Finally, a 'heuristic' solution is proposed which is adequate for the whole amplitude range 0 < A < 1.
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