This work presents an analytic technique aimed at designing the external excitation of linear and nonlinear oscillators so that a prescribed form of their steady-state response can be achieved. The technique exploits the exact analytic solutions of the oscillator response having quadratic and/or cubic nonlinearities. Both single-frequency and multi-frequency responses are considered. Examples of possible applications are provided in terms of virtual experiments.
Helmholtz, Duffing and Helmholtz-Duffing Oscillators: Exact Steady-State Solutions
Gatti G.
2020-01-01
Abstract
This work presents an analytic technique aimed at designing the external excitation of linear and nonlinear oscillators so that a prescribed form of their steady-state response can be achieved. The technique exploits the exact analytic solutions of the oscillator response having quadratic and/or cubic nonlinearities. Both single-frequency and multi-frequency responses are considered. Examples of possible applications are provided in terms of virtual experiments.File in questo prodotto:
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