This work first presents an analytical technique on how to exploit exact solutions for the response of certain oscillators to design specific external excitation and get a desired form of the exact steady-state response, both in the undamped and damped systems. Related benefits are then discussed, which include: (i) producing the response of free nonlinear oscillators by exciting a linear system in a particular way, (ii) determining the multi-term excitations of nonlinear oscillators to produce a single-term harmonic response, and (iii) tuning nonlinearities in a system excited by certain two-term excitation to produce a single-term harmonic response. Illustrations of these applications are presented in terms of physical and computer-aided experiments.

Some benefits of using exact solutions of forced nonlinear oscillators: Theoretical and experimental investigations

Gatti, Gianluca
2018

Abstract

This work first presents an analytical technique on how to exploit exact solutions for the response of certain oscillators to design specific external excitation and get a desired form of the exact steady-state response, both in the undamped and damped systems. Related benefits are then discussed, which include: (i) producing the response of free nonlinear oscillators by exciting a linear system in a particular way, (ii) determining the multi-term excitations of nonlinear oscillators to produce a single-term harmonic response, and (iii) tuning nonlinearities in a system excited by certain two-term excitation to produce a single-term harmonic response. Illustrations of these applications are presented in terms of physical and computer-aided experiments.
Duffing-type oscillators; External excitation; Simple harmonic oscillator; Tuning; Condensed Matter Physics; Mechanics of Materials; Acoustics and Ultrasonics; Mechanical Engineering
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/290862
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