Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-10T06:39:25.119Z Has data issue: false hasContentIssue false
  • English
  • Français

A Simple Model Representing Internal Damping in Solid Materials

Published online by Cambridge University Press:  07 June 2016

H. K. P. Neubert
H. K. P. Neubert*
Affiliation:
Royal Aircraft Establishment, Farnborough
Get access

Summary

Based on earlier theories of mechanical, electrical and magnetic relaxation phenomena, the paper discusses a simple mathematical model representing qualitatively the basic characteristics of “internal” damping in solid materials. The model is assessed with respect to variation with frequency of stiffness and loss factor at simple harmonic oscillations, and is applied to oscillatory systems with discrete parameters and to continua.

Type
Research Article
Information
Aeronautical Quarterly , Volume 14 , Issue 2 , May 1963 , pp. 187 - 210
Copyright
Copyright © Royal Aeronautical Society. 1963

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Boltzmann, L. Zur Theorie der elastischen Nachwirkung. Annalen der Physik, Supplement, Vol. 7, p. 624, 1876.Google Scholar
2. Wagner, K. W. Zur Theorie der unvollkommenen Dielektrika. Annalen der Physik (4), Vol. 40, p. 817, 1913.Google Scholar
3. Becker, R. and Döring, W. Ferromagnetismus, Chap. 19. Springer, Berlin, 1939.Google Scholar
4. Freudekthal, A. M. and Geiringer, H. The Mathematical Theory of the Inelastic Continuum. Handbuch der Physik, Vol. VI, pp. 229–433.Springer, Berlin, 1958.Google Scholar
5. Neumark, S. Concept of Complex Stiffness Applied to Problems of Oscillations with Viscous and Hysteretic Damping. R.&M. 3269, 1957.Google Scholar
6. Siegel, S. and Quimby, S. L. The Variation of Young's Modulus with Magnetisation and Temperature in Nickel. Physical Review, Vol. 49, p. 663, 1936.CrossRefGoogle Scholar
Becker, R. and Kornetzki, M. Einige magneto-elastische Torsionsversuche. Zeitschrift für Physik, Vol. 88, p. 634, 1934.CrossRefGoogle Scholar
7. Thomson, W.(Lord Kelvin). Elasticity. Encyclopaedia Britannica, 1875.Google Scholar
Voight, W. Lehrbuch der Krystalphysik. Teubner, Leipzig, 1910.Google Scholar
8. Maxwell, J. C. On the Dynamical Theory of Gases. Philosophical Magazine (4), Vol. 35, p. 129, 1868.Google Scholar
9. Cole, K. S. and Cole, R. H. Dispersion and Absorption in Dielectrics. Journal of Chemical Physics, Vol. 9, p. 341, 1941.CrossRefGoogle Scholar
10. Rayleigh, Lord. Theory of Sound, Vol. II. Chaps. 247, 348 and 349. Macmillan, London, 1896.Google Scholar
11. Kneser, H.O. Zur Dispersionstheorie des Schalles. Annalen der Physik, Vol. 11, p. 761, 1931.Google Scholar
12. Kimball, A. L. and Lovell, D. E. Internal Friction in Solids. Physical Review, Vol. 30, p. 948, 1927.Google Scholar
Becker, E. and Föppl, O. Dauerversuche zur Bestimmung der Festigkeitseigenschaften, Beziehungen zwischen Baustoffdampfung und Verformungsgeschwindigkeit. Forschung aus dem Gebiete des Ingenieurwesens, V.D.I. No. 304, 1928. ﹛Also, Royal Aircraft Establishment Library Translation 627).Google Scholar
13. Wiechert, E. Gesetze der elastischen Nachwirkung für konstante Temperatur. Annalen des Physik und Chemie, Vol. 50, p. 335 and p. 546, 1893.CrossRefGoogle Scholar
14. Flügge, W. Four-place Tables of Transcendental Functions, p. 115. Pergamon Press, Oxford, 1954.Google Scholar
15. Richter, G. Über die mechanische und die magnetische Nachwirkung des Carbonyleisens. Annalen der Physik (5), Vol. 32, p. 683, 1938.CrossRefGoogle Scholar
16. Lazan, B. J. Energy Dissipation Mechanisms in Structures, with Particular Reference to Material Damping.Structural Damping. American Society of Mechanical Engineers Colloquium, Atlantic City, 1959. Pergamon Press, Oxford, 1960.Google Scholar
17. Becker, G. W. and Oberst, H. Über das dynamische Verhalten linearer, vernetzter und gefullter Kunststoffe. Kolloid Zeitschrift, Vol. 148, p. 6, 1956.Google Scholar
18. Lazan, B. J. and Goodman, L. E. Material and Interface Damping. Shock and Vibration Handbook, edited by Harris, C. and Crede, C., Vol. II, Chap. 36. McGraw-Hill, 1961.Google Scholar
19. Myklestad, N. O. The Concept of Complex Damping. Journal of Applied Mechanics, Vol. 19, p. 284, 1952.CrossRefGoogle Scholar
Bishop, R. E. D. and Johnson, D. C. The Mechanics of Vibrations, pp. 488–492. Cambridge University Press, 1960.Google Scholar