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Causality and the complex modulus model of damping. (English) Zbl 0868.70009

Summary: A formal proof is presented showing why the complex modulus model, one of the most popular models of material damping found in the literature, invalidates the law of causality.

MSC:

70J99 Linear vibration theory
74Hxx Dynamical problems in solid mechanics
Full Text: DOI

References:

[1] Scanlan, Linear damping models and causality in vibrations, J. Sound. Vibrat 4 pp 499– (1970)
[2] Crandall, The roie of damping in vibration theory, J. Sound Vibrat. 11 pp 3– (1970) · Zbl 0187.21901
[3] Bert, Material damping: an introductory review of mathematical models, mease and experimental techniques, J. Sound. Vibrat. 29 (2) pp 129– (1973) · Zbl 0276.73041
[4] Theodorsen , T. Garrick , I. Mechanism of flutter-a theoretical and experimer investigation of the flutter problem
[5] Phillips , E. Functions of a complex variable with applications 1975
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