Damping in rigid block dynamics contained between side-walls

Chaos, solitons and fractals

Volumn 11, Issue 4, 2000, Pages 495-506

  Hogan, S J ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; DIFFERENTIAL EQUATIONS; DYNAMICS; EARTHQUAKES; NUMERICAL ANALYSIS; OSCILLATORS (MECHANICAL); SEISMIC WAVES;

EARTHQUAKE MAGNITUDE; RIGID BLOCK DYNAMICS; SEISMIC EXCITATION;

FRACTALS;

EID: 0034159401     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(98)00211-2     Document Type: Article

References (31)

1. R.H. Allen, X. Duan, Effects of linearizing on rocking-block toppling, ASCE J. Struct. Engrg. 121 (1995) 1146-1149.
2. D. Capecchi, R. Giannini, R. Masiani, Motion of a rigid-body with a rounded base due to harmonic excitation, Int. J. Non-Linear Mech. 31 (1996) 175-191.
3. M. Di Bernardo, M.I. Feigin, S.J. Hogan and M.E. Homer, Local analysis of C-bifurcations in n-dimensionsal piecewise-smooth dynamical systems Chaos, Solitions and Fractals 10 (1999) 1881-1908.
4. W.T. Fielder, L.N. Virgin, R.H. Plaut, Experiments and simulation of overturning of an asymmetric rocking block on an oscillating foundation, Euro. J. Mech. A 16 (1997) 905-923.
5. R. Giannini, R. Masiani, Non-Gaussian solution for random rocking of slender rigid block, Prob. Engrg. Mech. 11 (1996) 87-96.
6. S.J. Hogan, On the dynamics of rigid block motion under harmonic forcing, Proc. Roy. Soc. Lond. A 425 (1989) 441-476.
7. S.J. Hogan, The many steady-state responses of a rigid block under harmonic forcing, Int. J. Earthquake Engrg. and Struct. Dyn. 19 (1990) 1057-1071.
8. S.J. Hogan, The effect of damping on rigid block motion under harmonic forcing, Proc. Roy. Soc. Lond. A 437 (1992) 97-108.
9. S.J. Hogan, On the motion of a rigid block tethered at one corner under harmonic forcing, Proc. Roy. Soc. Lond. A 439 (1992) 35-45.
10. S.J. Hogan, Heteroclinic bifurcations in damped rigid block motion, Proc. Roy. Soc. Lond. A 439 (1992) 155-162.
11. S.J. Hogan, Rigid block dynamics confined between side-walls, Phil. Trans. Roy. Soc. Lond. A 347 (1994) 411-419.
12. S.J. Hogan, Slender rigid block motion, ASCE J. Engrg. Mech. 120 (1994) 11-24.
13. S.J. Hogan, M.E. Homer, Graph theory and piecewise smooth dynamical systems of arbitrary dimension. Chaos, Solitons and Fractals, 10 (1999) 1869-1880.
14. G.W. Housner, The behaviour of inverted pendulum structures during earthquakes, Bull. Seism. Soc. Am. 53 (1963) 403-417.
15. R.N. Iyengar, D. Roy, Nonlinear dynamics of a rigid block on a rigid base, ASME J. Appl. Mech. 63 (1996) 55-61.
16. A.-S. Koh, Rocking of rigid blocks on randomly shaking foundations, Nucl. Engrg. Des. 97 (1986) 269-276.
17. H. Lin, S.C.S. Yim, Nonlinear rocking motions I: Chaos under noisy periodic excitations, ASCE J. Engrg. Mech. 122 (1996) 719-727.
18. H. Lin, S.C.S. Yim, Nonlinear rocking motions II: Overturning under random excitations, ASCE J. Engrg. Mech. 122 (1996) 728-735.
19. H. Lin, S.C.S. Yim, Deterministic and stochastic analyses of chaotic and overturning responses of a slender rocking object, Nonlinear Dynamics 11 (1996) 83-106.
20. J. Milne, Experiments in observational seismology, Trans. Seism. Soc. Japan 8 (1881) 12-64.
21. A.B. Nordmark, Non-periodic motion caused by grazing incidence in an impact oscillator, J. Sound Vib. 145 (1991) 279-297.
22. I.J. Oppenheim, The masonry arch as a four-link mechanism under base motion, Int. J. Earthquake Engrg. Struct. Dyn. 21 (1992) 1005-1017.
23. J. Perry, Note on the rocking of a column, Trans. Seism. Soc. Japan 3 (1881) 103-106.
24. R.H. Plaut, W.T. Fielder, L.N. Virgin, Fractal behaviour of an asymmetric rigid block overturning due to harmonic motion of a tilted foundation, Chaos Solitons and Fractals 7 (1996) 177-196.
25. A. Pompei, A. Scalia, M.A. Sumbatyan, Dynamics of rigid block due to horizontal ground motion, ASCE J. Engrg. Mech. 124 (1998) 713-717.
26. A. Scalia, M.A. Sumbatyan, Slide rotation of rigid bodies subjected to a horizontal ground motion, Int. J. Earthquake Engrg. Struct. Dyn. 25 (1996) 1139-1149.
27. L.N. Virgin, W.T. Fielder, R.H. Plaut, Transient motion and overturning of a rocking block on a seesawing foundation, J. Sound Vib. 191 (1996) 177-187.
28. T. Winkler, K. Meguro, F. Yamazaki, Response of rigid-body assemblies to dynamic excitation, Int. J. Earthquake Engrg. Struct. Dyn. 24 (1995) 1389-1408.
29. C.M. Wong, W.K. Tso, Steady state rocking response of rigid blocks. Part 2: Experiment, Int. J. Earthquake Engrg. Struct. Dyn. 18 (1989) 107-120.
30. M.V. Zakrzhevsky, Y.M. Ivanov, V.Y. Frolov, NLO: Universal software for global analysis of nonlinear dynamics and chaos, in: Proceedings of the Second European Nonlinear Oscillations Conference, 9-13, September 1996, Prague.
31. S.J. Hogan, Slender rigid block motion - closure. ASCE J. Eng. Mech. 121 (1995) 584-585.