Summary
In this paper, a new asymptotic calculation method is presented for a class of nonlinear nonautonomous vibration systems with multiple external periodic interferences. Simple calculation formulae of an asymptotic solution for resonance and off-resonance vibration are derived. The paper is concerned with a vibration system representing a class of nonlinear oscillators. Consequently, the calculation of a class of nonlinear oscillators is routinized. Two different Duffing equations are verified which shows that the results are completely in accordance with the solutions of references [3, 4, 6]. The derivation of solutions of Duffing equations becomes easier and simpler. In addition, some errors in reference [6] are pointed out.
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Wang, R., Kusumoto, S. Response of a non-linear system with strong damping to multifrequency excitations. Arch. Appl. Mech. 66, 343–356 (1996). https://doi.org/10.1007/BF00795251
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DOI: https://doi.org/10.1007/BF00795251