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Zbl 1079.70020
Ingman, D.; Suzdalnitsky, J.
Control of damping oscillations by fractional differential operator with time-dependent order. (English)
[J] Comput. Methods Appl. Mech. Eng. 193, No. 52, 5585-5595 (2004). ISSN 0045-7825

Summary: The aim is an application of a differential operator of variable order to constitutive relations for viscoelastic materials. This operator is used for studying the vibrations of a one-degree-of-freedom oscillator in which the viscoelastic deformation is governed by a servo-order function. A method for numerical determination of the eigenfrequency of the fractional differential equation is proposed.

MSC 2000:: *70Q05 Control of mechanical systems
70J35 Forced motions
93C15 Control systems governed by ODE
74D05 Linear constitutive equations

Keywords: viscoelastic materials; servo-order function; eigenfrequency

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