In many cases, the dynamic behavior of a rotating system is strongly influenced by
support parameters. The use of viscoelastic supports is a feasible solution for
vibration control in rotating machinery. This article sets out to describe
how to design an optimal viscoelastic supports for a flexible rotor, while
the concept of the fractional order derivative has been applied to the
construction of parametric models for viscoelastic supports. The motion
equations for the flexible rotor model mounted on viscoelastic supports are
derived and the approximately analytical solution is obtained. The optimal
parameters of the fractional-order supports are analytically studied for the
and
optimization
criteria. The
optimum parameters such as fractional coefficient and order are obtained based
on the classical fixed-points theory to minimize the rotor amplitudes. The
and
optimization parameters to minimize the total vibration energy of the flexible rotor
over the whole-frequency range are also determined. The system optimization design
can effectively improve the resonant vibration response as the results show.
Consequently, the maximum rotor amplitude of the system can be reduced
by more than 50% for both optimization procedures, while the optimum
parameters are used. It could be concluded that the fractional viscoelastic
support has superiority in vibration engineering, and fractional-order element
could replace the traditional damper and spring simultaneously in some
cases.
