Finite element analysis of beams with constrained damping treatment modeled via fractional derivatives

Applied Mechanics Reviews

Volumn 50, Issue 11, 1997, Pages S216-S224

  Suárez, Luis E ^a   Shokooh, Arsalan ^a   Arroyo, José ^a  

^a UNIVERSITY OF PUERTO RICO   (Puerto Rico)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; DEGREES OF FREEDOM (MECHANICS); DYNAMIC RESPONSE; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; STRUCTURAL ANALYSIS; STRUCTURAL FRAMES; VISCOPLASTICITY;

CONSTRAINED DAMPING TREATMENT MODEL; FRACTIONAL DERIVATIVES;

BEAMS AND GIRDERS;

EID: 0031270474     PISSN: 00036900     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.3101839     Document Type: Article

References (17)

1. Nashif AD, Jones DIG, and Henderson, JP (1985), Vibration Damping, John Wiley & Sons, New York, NY.
2. Sun CT and Lu YP (1995), Vibration Damping of Structural Elements, Prentice Hall, Englewood Cliffs, NJ.
3. Bagley RL (1979), Applications of generalized derivatives to viscoelasticity, Technical report AFML-TR-79-4103, Air Force Materials Laboratory, Wright-Patterson Air Force Base, Ohio.
4. Rogers, L, (1983), Operators and fractional derivatives for viscoelastic constitutive equations, Journal of Rheology, 27(4), 351-372.
5. Torvik PJ and Bagley RL (1987), Fractional derivatives in the description of damping materials and phenomena, in The Role of Damping in Vibration and Noise Control, ASME-DE-5, 125-135.
6. Oldham KB and Spanier J (1974), The Fractional Calculus, Academic Press, New York, NY.
7. Bagley RL and Torvik PJ (1986), On the fractional calculus model of viscoelastic behavior, Journal of Rheology, 30(1), 133-155.
8. Bagley RL and Torvik, PJ (1979), A generalized derivative model for an elastomer damper, The Shock and Vibration Bulletin, 49 (2), 135-143.
9. Torvik PJ and Bagley RL (1984), On the appearance of the fractional derivative in the behavior of real materials, Journal of Applied Mechanics, 51, 294-298.
10. Bagley RL and Torvik PJ, (1983), A theoretical basis for the application of fractional calculus to viscoelasticity, Journal of Rheology, 27 (3), 201-210.
11. Bagley RL and Torvik, PJ, (1983), Fractional calculus - A different approach to the analysis of viscoelastically damped structures, AIAA Journal, 21 (5), 741-748.
12. Bagley RL and Torvik PJ (1985), Fractional calculus in the transient analysis of viscoelastically damped structures, AIAA Journal, 23(6), 918-925.
13. Rossikhin YA and Shitikova MV (1997), Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids, 50(1), 15-67.
14. Suarez LE, Shokooh, A, and Arroyo, J (1995), Finite element analysis of damping materials modeled by the fractional derivative method, Technical Report prepared for NASA Langley, University of Puerto Rico, Mayaguez, PR.
15. Suarez LE and Shokooh A (1997), An eigenvector expansion method for the solution of equations of motion with fractional derivatives, Journal of Applied Mechanics, in press.
16. Shokooh A and Suarez LE (1994), On the fractional derivative modeling of damping materials, Technical Report prepared for NASA Langley, University of Puerto Rico, Mayaguez, PR.
17. DiTaranto, RA (1965), Theory of vibratory bending for elastic and viscoelastic layered finite length beams, Journal of Applied Mechanics, 87, 881-886.