Description of the impulse response in rods by fractional derivatives

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 82, Issue 6, 2002, Pages 423-427

  Schafer I ^a   Seifert, H J ^a  

^a HELMUT SCHMIDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23044534419     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/1521-4001(200206)82:6<423::AID-ZAMM423>3.0.CO;2-H     Document Type: Article

References (10)

1. ACHENBACH, J. D.: Wave propagation in elastic solids. North-Holland Publishing Company, Amsterdam 1973.
2. BEYER, H.; KEMPFLE, S.: Physically consistent damping laws. ZAMM 75 (1995) 8, 623-635.
3. GAUL, L.; KLEIN, P.; KEMPFLE, S.: Impulse response function of an oscillator with fractional derivative in damping description. Mech. Res. Commn. 16 (1989) 5, 297-305.
4. GRAFF, K. F.: Wave motion in elastic solids. Clarendon Press, Oxford 1975.
5. KEMPFLE, S.; BEYER, H.: Global and causal solutions of fractional linear differential equations. Transform Methods & Special Functions, IMI-BAS (1998), 210-226.
6. KLOTTER, K.: Technische Schwingungslehre. Springer-Verlag, Berlin 1980.
7. OLDHAM, K. B.; SPANIER, J.: The fractional calculus. Academic Press, New York 1975.
8. PODLUBNY, I.: Fractional differential equations. Academic Press, New York 1999.
9. SCHÄFER, I.: Beschreibung der Dämpfung in Stäben mittels fraktionaler Zeitableitungen. ZAMM 80 (2000) 5, 356-360.
10. SNOWDON, J. C.: Vibration and shock in damped mechanical systems. John Wiley & Sons Inc., New York 1968.