Oscillations of Viscoelastic Mechanical Systems with Finite Freedom
DOI:
https://doi.org/10.22105/kmisj.v2i3.100Keywords:
Mechanical systems, Non-stationary oscillations, Movements, Decrement of damping, Finite number of degrees of freedomAbstract
The study investigates the natural and externally excited oscillations of viscoelastic mechanical systems possessing a finite number of degrees of freedom. Based on Lagrange’s second-order equations, the dynamical model of systems with dissipation was derived. Particular attention is paid to periodic as well as transient forced vibrations in multi-degree-of-freedom structures. The system of equations of motion is written in matrix form relative to the Matrix-column The characteristic parameters were found, where and are real numbers called damping coefficients. The attenuation decrement ratio was also determined. Non-stationary oscillations of mechanical systems are solved by the Fourier transform method.
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