Impulse responses of fractional damped systems. (English) Zbl 1097.70016

Schäfer, Ingo; Kempfle, Siegmar

Nonlinear Dyn. 38, No. 1-4, 61-68 (2004).

Summary: Considered are systems of single-mass oscillators with different fractional damping behaviour. Similar to the classical model, where the damping terms are represented by first derivatives, the eigensystem can be used to decompose the fractional system in frequency domain, if mass, stiffness and damping matrices are linearly dependent. The solution appears as a linear combination of single-mass oscillators. This is true even in the general case such that stability and causality are insured by the same argumentation as used in the linearly dependent case.

MSC:

70J35	Forced motions in linear vibration theory
26A33	Fractional derivatives and integrals

Keywords:

single-mass oscillators; eigensystem

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