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Description of the Impulse Response in Rods by Fractional Derivatives
Author(s) -
Schäfer I.,
Seifert H. J.
Publication year - 2002
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200206)82:6<423::aid-zamm423>3.0.co;2-h
Subject(s) - viscoelasticity , impulse (physics) , fractional calculus , impulse response , rod , coincidence , mathematics , mathematical analysis , mechanics , calculus (dental) , materials science , physics , classical mechanics , composite material , medicine , alternative medicine , dentistry , pathology
For an impulse response in a viscoelastic rod experimental data are compared with a calculation using fractional derivatives for modelling viscoelastic damping. For the material under consideration (teflon) the coincidence is excellent. The calculation is done for an ideal impulse as well as for a realistic exciting force; it displays also the numerical and theoretical advantages of the residue calculus.