Improved five-parameter fractional derivative model for elastomers

• Autorzy: Dinzart F. , Lipiński P.
• Języki publikacji: EN

Abstrakty

EN

The dynamic behaviour of elastomers is assumed to follow a constitutive differential equation of non-integral (fractional) order. In order to describe the peculiar frequency response of the loss factor, the constitutive equation has been refined by introducing the fifth parameter to the classical fourth-order equation. The asymmetry of the loss factor in the frequency domain comes from the different time-derivative orders of the stress and strain. Either smooth asymmetry or stabilization by a plateau at high frequency can be modelled by suitable difference between the two orders of the time derivatives. The physical validity of the model is discussed and a parametrical analysis is conducted on diagrams relating the height and the width of the loss factor.

Słowa kluczowe

EN

loss factor; fractional derivative; damping; elastomers; viscoelasticity

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2009
• Tom: Vol. 61, nr 6
• Strony: 459--474
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Dinzart F.

autor

Lipiński P.

• Laboratoire de Mecanique Biomecanique, Polymere et Structures Ecole Nationale d'Ingenieurs de Metz Ile du Saulcy 57045 Metz Cedex 01, France,

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