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Exploiting knowledge of jump-up and jump-down frequencies to determine the parameters of a Duffing oscillator
(2016-08-01)
This work concerns the application of certain non-linear phenomena - jump frequencies in a base-excited Duffing oscillator - to the estimation of the parameters of the system. First, approximate analytical expressions are ...
Using nonlinear jumps to estimate cubic stiffness nonlinearity: An experimental study
(2016-12-01)
Attempts are being made to improve mechanical design by using nonlinearity rather than eliminating it, especially in the area of vibration control and in energy harvesting. In such systems, there is a need to both predict ...
Analytical study of the nonlinear behavior of a shape memory oscillator: Part II-resonance secondary
(Springer, 2010-06-01)
In Part II of this work, we investigated the dynamics of the shape memory oscillator, in the particular case of the secondary resonances. We used the equation of motion developed in Part I (Piccirillo et al., Nonlinear ...
Analytical study of the nonlinear behavior of a shape memory oscillator: Part II-resonance secondary
(Springer, 2010-06-01)
In Part II of this work, we investigated the dynamics of the shape memory oscillator, in the particular case of the secondary resonances. We used the equation of motion developed in Part I (Piccirillo et al., Nonlinear ...
Nonlinear resonances phenomena in a modified Josephson junction model
(2020-12-01)
In this paper, the equivalent circuit of the non-autonomous Josephson junction (JJ) is presented and the effect of the proper frequency on the phase φ is studied. We also study nonlinear resonance phenomena in the oscillations ...
Analytical study of the nonlinear behavior of a shape memory oscillator: Part I-primary resonance and free response at low temperatures
(Springer, 2010-03-01)
In this work, the response of a single-degree-of-freedom shape memory oscillator subjected to the excitation harmonic has been investigated. Equation of motion is formulated assuming a polynomial constitutive model to ...
Analytical study of the nonlinear behavior of a shape memory oscillator: Part I-primary resonance and free response at low temperatures
(Springer, 2010-03-01)
In this work, the response of a single-degree-of-freedom shape memory oscillator subjected to the excitation harmonic has been investigated. Equation of motion is formulated assuming a polynomial constitutive model to ...