Random vibration of systems with viscoelastic memory

Journal of Engineering Mechanics

Volumn 130, Issue 9, 2004, Pages 1052-1061

  Palmeri, A ^a   Ricciardelli, F ^b   Muscolino, G ^a   De Luca, A ^c  

^a UNIVERSITY OF MESSINA   (Italy)

^b UNIVERSITY MEDITERRANEA OF REGGIO CALABRIA   (Italy)

^c UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; VISCOELASTICITY;

RANDOM VIBRATION; VISCOELASTIC MEMORY;

VIBRATIONS (MECHANICAL);

DYNAMIC ANALYSIS; VIBRATION;

EID: 4444233368     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (37)

1. Agrawal, O. P. (2001). "Stochastic analysis of dynamic systems containing fractional derivatives." J. Sound Vib., 247(5), 927-938.
2. Agrawal, O. P. (2002). "Stochastic analysis of a 1-D system with fractional damping of order 1/2." J. Vibr. Acoust., 124, 454-460.
3. Amaniampong, G., and Ariaratnam, S. T. (1998). "Reliability of linear viscoelastic systems excited by a Gaussian process." J. Eng. Mech., 124(3), 245-251.
4. Bagley, R. L., and Torvik, P. J. (1983). "Fractional calculus-A different approach to the analysis of viscoelastically damped structures." AIAA J., 21(5), 741-748.
5. Bagley, R. L., and Torvik, P. J. (1985). "Fractional calculus in the transient analysis of viscoelastic damped structures." AIAA J., 23(6), 918-925.
6. Bellman, R. (1997). Introduction to matrix analysis, 2nd Ed., SIAM, Philadelphia.
7. Biot, M. A. (1958). "Linear thermodynamics and the mechanics of solids." Proc., 3rd US National Congress of Applied Mechanics, ASCE, New York.
8. Borino, G., and Muscolino, G. (1986). "Mode-superposition methods in dynamic analysis of classically and non classically damped linear systems." Earthquake Eng. Struct. Dyn., 14, 705-717.
9. Cacciola, P., Colajanni, P., and Muscolino, G. (2004). "Combination of modal responses consistent with seismic input representation." J. Struct. Eng., 130(1), 47-55.
10. Carlson, G. E. (1998). Signal and linear system analysis, 2nd Ed., Wiley, New York.
11. De Luca, A., Muscolino, G., Palmeri, A., and Ricciardelli, F. (2002). "Response of SDoF systems with linear viscoelastic memory to random excitation." Structural Dynamics-EURODYN 2002, H. Grundman and G. I. Schuëller, eds., Vol. 2, 761-766.
12. Di Paola, M. (1988). "Moments of non-linear systems." Probabilistic Methods in Civil Engineering-Proc., 5th ASCE Special Conf., P. D. Spanos, ed., ASCE, New York, 285-288.
13. Drozdov, A. D. (1998). Viscoelastic structures-Mechanics of growth and aging, Academic, San Diego.
14. EuroCode 8 (1994). Design provisions for earthquake resistance of structures, ENV 1998-Part 1.1, CEN European Committee for Standardisation, Brussels, Belgium.
15. Falsone, G. (1994). "Cumulants and correlations for linear systems under non-stationary delta-correlated processes." Probab. Eng. Mech., 12, 189-196.
16. Gradshteyn, I. S., and Ryzhik, I. M. (1994). Table of integrals, series, and products A. Jeffrey, ed., Academic, San Diego.
17. Inaudi, J., and Kelly, N. (1995). "Linear hysteretic damping and the Hilbert transform." J. Eng. Mech., 121(5), 626-632.
18. Inaudi, J., and Makris, N. (1996). "Time-domain analysis of linear hysteretic damping." Earthquake Eng. Struct. Dyn., 25, 529-545.
19. Jennings, P. C., Housner, G. W., and Tsai, C. (1969). "Simulated earthquake motion for design purpose." Proc., 4th World Conf. on Earthquake Engineering, Santiago, Chile, Vol. A(1), 145-160.
20. Koh, C. G., and Kelly, J. M. (1990). "Application of fractional derivatives to seismic analysis of base-isolated models." Earthquake Eng. Struct. Dyn., 19, 229-241.
21. Lakes, R. S. (1998). Viscoelastic solids, CRC, Boca Raton, Fla.
22. Lee, H. H. (1997). "Stochastic analysis for offshore structures with added mechanical dampers." Ocean Eng., 24(9), 817-834.
23. Locket, F. J. (1972). Nonlinear viscoelastic solids, Academic, London, U.K.
24. Makris, N. (1997). "Causal hysteretic element. II: Application." J. Eng. Mech., 123(11), 1209-1214.
25. Makris, N., and Constantinou, M. C. (1991). "Fractional-derivative Maxwell model for viscous dampers." J. Eng. Mech., 117(9), 2708-2724.
26. Makris, N., Constantinou, M. C., Dargush, G. F. (1993). "Analytical model of viscoelastic fluid dampers." J. Struct. Eng., 119(11), 3310-3325.
27. Makris, N., and Zhang, J. (2000). "Time-domain viscoelastic analysis of earth structures." Earthquake Eng. Struct. Dyn., 29, 745-768.
28. Nashif, A. D., Jones, D. I. G., and Henderson, J. P. (1985). Vibration damping, Wiley, New York.
29. Palmeri, A., Ricciardelli, F., De Luca, A., and Muscolino, G. (2003). "State space formulation for linear viscoelastic dynamic systems with memory." J. Eng. Mech., 129(7), 715-724.
30. Palmeri, A., Ricciardelli, F., Muscolino, G. and De Luca, A. (2004). "Effects of viscoelastic memory on the buffeting response of tall buildings." Wind Struct., 7(2), 89-106.
31. Soong, T. T., and Dargush, G. F. (1997). Passive energy dissipation systems in structural engineering, Wiley, Chichester, U.K.
32. Spanos, P. D., and Tsavachidis, S. (2001). "Deterministic and stochastic analyses of a nonlinear system with Biot visco-elastic element." Earthquake Eng. Struct. Dyn., 30, 595-612.
33. Spanos, P. D., and Zeldin, B. A. (1997). "Random vibration of systems with frequency-dependent parameters or fractional derivatives." J. Eng. Mech., 123(3), 290-292.
34. Sun, C. T., and Lu, Y. P. (1995). Vibration damping of structural elements, Prentice Hall, Englewood Cliffs, N.J.
35. Szidarovszky, F., and Bahill, A. T. (1998). Linear systems theory, 2nd Ed., CRC, Boca Raton, Fla.
36. Tseitlin, A. I., and Kusainov, A. A. (1990). Role of internal damping in dynamic analysis of structures, A. A. Balkema, Rotterdam, The Netherlands.
37. Yuan, L., and Agrawal, O. P. (2002). "A numerical scheme for dynamic systems containing fractional derivatives." J. Vibr. Acoust., 124, 321-324.