A dynamical model of light fibrous materials

International Journal of Mechanical Sciences

Volumn 41, Issue 4-5, 1999, Pages 561-579

  Rice, H J ^a   Goransson P ^b  

^a TRINITY COLLEGE DUBLIN   (Ireland)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Dynamical model; Light fibrous materials

Indexed keywords

FINITE ELEMENT METHOD; FLOW MEASUREMENT; FUSELAGES; MATHEMATICAL MODELS; VACUUM APPLICATIONS;

FLOW RESISTIVITY MEASUREMENT;

THERMAL INSULATING MATERIALS;

EID: 0039136239     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7403(98)00082-4     Document Type: Article

References (25)

1. Cummings A, Wilson R, Rice H. Radiation damping in plates, induced by porous media. Proc ISMA21, Leuven, Belgium, 18-20 September, 1996;719-30.
2. Bolton JS, Green ER. Sound transmission through double panel constructions lined with elastic porous materials. AIAA-86-1907, 1986.
3. Rayleigh L. On porous bodies in relation to sound. Philosophical Magazine 11983;6:181-6.
4. Biot MA. Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low frequency range. Journal of the Acoustical Society of America 1956;28:168-78.
5. Biot, MA, Willis DG. The elastic coefficients of the theory of consolidation. Journal of Applied Mechanics 1957;24:594-601.
6. Pride SR, Gangi AF, Morgan FD. Deriving the equations of motion for porous isotropic media. Journal of the Acoustical Society of America 1992;92(6):3278-90.
7. Allard JF. Propagation of sound in porous media: modelling of sound absorbing materials. London: Chapman and Hall, 1996.
8. Ghaboussi J, Wilson EL. Variational formulation of dynamics of fluid saturated porous elastic solids. Proceedings ASCE 98, 1972;EM4:947-63.
9. Zienkiewicz OC, Shiomi T. Dynamic behaviour of saturated porous media; the generalised Biot formulation and its numerical solution. International Journal for Numerical and Analytical Methods in Geomechanics 1984;8:71-96.
10. Gajo A. Saetta A, Vitaliani R. Evaluation of three-and two-field finite element methods for the dynamic response of saturated soil. International Journal of Numerical Methods in Engineering 1994;37:1231-47.
11. Johanssen TF, Allard JF, Brouard B. Finite element method for predicting the acoustic properties of porous samples, Acta Acoustica 1995;3:487-91.
12. Göransson P. A 3D, symmetric, finite element formulation of the Biot equations for acoustic wave propagation through, linear, elastic porous medium. International Journal of Numerical Methods in Engineering 1998; 41:167-192.
13. Lesieutre GA. Finite elements for dynamic modelling of uniaxial rods with frequency dependent material properties. International Journal of Solids Structures 1992;29:1567-79.
14. Dovstam K. Augmented Hooke's law in frequency domain. A three dimensional, material damping formulation. International Journal of Solids Structures 1995;32:2835-52.
15. Dovstam K. Receptance model based isotropic damping functions and elastic displacement modes. Int. J Solids Structures 1997;34:2733-54.
16. Bagley RL, Torvik PJ. Fractional calculus-A different approach to the analysis of viscoelastically damped structures. AIAA J 1983;21:741-8.
17. Enelund M, Olsson P. Damping described by fading memory models. AIAA Paper #95-1181 1995.
18. Dovstam K, Dalenbring M. Damping function estimation based on modal receptance models and neural nets. Computational Mechanics 1997;19:271-86.
19. Pritz T. Frequency dependence of frame dynamic characteristics of mineral and glass wool materials, Journal of Sound and Vibration 1986;106:161-9.
20. Fung YC. Foundation of solid mechanics. London: Prentice-Hall, 1965.
21. Grogan KW. Identification of the non-linear dynamics of fibrous materials, MSc Thesis, University of Dublin, 1997.
22. Zwikker C, Kosten CW. Sound absorbing materials, New York: Elsevier, 1949.
23. Pritz Z. Non-linear of frame dynamic characteristics of mineral and glass wool materials, Journal of Sound and Vibration 1990;136:263-74.
24. Rice HJ, Torrance AA, Eikelman I. A model of stiffness non-linearity in fibrous damping materials, Journal of Sound and Vibration, 1997; To appear.
25. Cummings A. University of Hull, Personal communication, 1996.