Time-domain response of linear hysteretic systems to deterministic and random excitations

Earthquake Engineering and Structural Dynamics

Volumn 34, Issue 9, 2005, Pages 1129-1147

  Muscolino, G ^a   Palmeri, A ^a   Ricciardelli, F ^b  

^a UNIVERSITY OF MESSINA   (Italy)

^b UNIVERSITY MEDITERRANEA OF REGGIO CALABRIA   (Italy)

Author keywords

Biot model; Earth structures; Laguerre polynomial approximation; Linear hysteretic damping; Random vibration; Seismic analysis

Indexed keywords

DAMPING; HYSTERESIS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS;

DYNAMIC BEHAVIOR; RANDOM GROUND MOTION; RATE INDEPENDENT BEHAVIOR;

TIME DOMAIN ANALYSIS;

EARTHQUAKE ENGINEERING;

EID: 21844461592     PISSN: 00988847     EISSN: None     Source Type: Journal    
DOI: 10.1002/eqe.471     Document Type: Article

References (26)

1. Myklestad NO. The concept of complex damping. Journal of Applied Mechanics 1952; 19:284-286.
2. Bishop RED. The treatment of damping forces in vibration theory. Journal of the Royal Aeronautical Society 1955; 59:738-742.
3. Reid TJ. Free vibration and hysteric damping. Journal of the Royal Aeronautical Society 1956; 60:283.
4. Lancaster P. Free vibration and hysteric damping. Journal of the Royal Aeronautical Society 1960; 64:229.
5. Caughey TK. Vibration of dynamic systems with linear hysteretic damping (linear theory). Proceedings of the 4th US National Congress of Applied Mechanics, ASCE, 1962, Berkeley, U.S.A., 1:87-97.
6. Crandall SH. The role of damping in vibration theory. Journal of Sound and Vibration 1970; 11(1):3-18.
7. Gaul L, Bohlen S, Kempfle S. Transient and forced oscillations of systems with constant hysteretic damping. Mechanics Research Communications 1985; 12(4):187-201.
8. Milne HK. The impulse response function of a single degree of freedom system with hysteretic damping. Journal of Sound and Vibration 1985; 100(4):590-593.
9. Inaudi JA, Kelly JM. Linear hysteretic damping and the Hilbert transform. Journal of Engineering Mechanics (ASCE) 1995; 121 (5):626-632.
10. Chen JT, You DW. Hysteretic damping revisited. Advances in Engineering Software 1997; 28:165-171.
11. Chen JT, You DW. An integral-differential equation approach for the free vibration of a SDoF system with hysteretic damping. Advances in Engineering Software 1999; 30:43-48.
12. Inaudi JA, Makris N. Time-domain analysis of linear hysteretic damping. Earthquake Engineering and Structural Dynamics 1996; 25: 529-545.
13. Inaudi JA. Analysis of hysteretic damping using analytical signals. Journal of Engineering Mechanics (ASCE) 1997; 123(7):743-745.
14. Makris N. Stiffness, flexibility, impedance, mobility and hidden delta function. Journal of Engineering Mechanics (ASCE) 1997; 123 (11):1202-1208.
15. Makris N. Causal hysteretic element. Journal of Engineering Mechanics (ASCE) 1997; 123(11):1209-1214.
16. Biot MA. Linear thermodynamics and the mechanics of solids. Proceedings of the 3rd US National Congress of Applied Mechanics, ASCE, 1958, Providence, U.S.A., 1-18.
17. Makris N. Zhang J. Time domain viscoelastic analysis of earth structures. Earthquake Engineering and Structural Dywainics 2000; 29:745-768.
18. Spanos PD, Tsavachidis S. Deterministic and stochastic analyses of a nonlinear system with a Biot visco-elastic element. Earthquake Engineering and Structural Dynamics 2001; 30:595-612.
19. Spanos PD, Zeldin BA. Pitfalls of deterministic and random analyses of systems with hysteresis. Journal of Engineering Mechanics (ASCE) 2000; 126(10):1108-1110.
20. Palmeri A, Ricciardelli F, De Luca A, Muscolino G. State space formulation for linear viscoelastic dynamic systems with memory. Journal of Engineering Mechanics (ASCE) 2003; 129(7):715-724.
21. Palmeri A, Ricciardelli F, Muscolino G, De Luca A. Effects of viscoelastic memory on the buffeting response of tall buildings. Wind and Structures 2004; 7(2):89-106.
22. Palmeri A, Ricciardelli F, Muscolino G, De Luca A. Random vibration of systems with viscoelastic memory. Journal of Engineering Mechanics (ASCE) 2004; 130(9):1052-1061.
23. Muscolino G. Dynamically modified linear structures: deterministic and stochastic response. Journal of Engineering Mechanics (ASCE) 1996; 122(11):1044-1051.
24. Dakoulas P, Gazetas G. A class of inhomogeneous shear models for seismic response of dams and embankments. Soil Dynamics and Earthquake Engineering 1985; 4(4):166-182.
25. Makris N. Rigidity-plasticity-viscosity: can electrorheological dampers protect base-isolated structures from near-source ground motions? Earthquake Engineering and Structural Dynamics 1997; 26:571-591.
26. Fan FG, Ahmadi G. Nonstationarity Kanai-Tajimi models for El Centro 1940 and Mexico City 1985 earthquakes. Probabilistic Engineering Mechanics 1990; 5(4):171-181.