Main Article Content
The paper presents the topic of the representation of the hysteretic loops raised on the basis of the variation of the linear viscoelastic force depending on the variation of the instantaneous displacement x = x(t) of the linear dynamic system m, c, k dynamically excited with a harmonic excitation force F = F(t) = F0 sinwt. The linear Voigt-Kelvin dynamic model is characterized by the mass m, the viscous amortization c and the elastic constant k, being driven by the harmonic force in the F0 amplitude and the w pulsation. The representation of the Q - x hysteretic loop is made by an ellipse both by numerical testing and by experimental testing.
In order to optimize the energy dissipation capacity in the dissipative element, linear with the amortization constant c, representations of the parameterized ellipse families are required. Thus, we have to keep in mind that in the technological processes activated by vibration, the physical and mechanical parameters of the processed material may be modified, for example c, k, as well as the w pulsation of the dynamic excitation.
It emerges that an analytical and graphic evaluation is required in order to highlight the parametric changes on the dynamic response and of the dissipated energy.
Consequently, for some real cases of processing in industry and constructions, the values of the physical and mechanical parameters were chosen, as well as the modality of their variation so as to be able to illustrate, as realistically as possible, the dynamic behaviour of the linear elastic system m, c, k dynamically excited with the given harmonic force.
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