Overturning of rocking rigid bodies under transient ground motions

Structural Engineering and Mechanics

Volumn 22, Issue 3, 2006, Pages 293-310

  Sorrentino, Luigi ^a   Masiani, Renato ^a   Decanini, Luis D ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Ground motion parameters; Natural accelerograms; Response measure; Rocking rigid body; Scale effect; Structural dynamics

Indexed keywords

ACCELERATION; MECHANICAL PROPERTIES; MOTION ESTIMATION; SEISMOLOGY;

GROUND MOTION PARAMETERS; NATURAL ACCELEROGRAMS; RESPONSE MEASURE; ROCKING RIGID BODY; SCALE EFFECT; STRUCTURAL DYNAMICS;

STRUCTURAL DESIGN;

EID: 33645287296     PISSN: 12254568     EISSN: None     Source Type: Journal    
DOI: 10.12989/sem.2006.22.3.293     Document Type: Article

References (49)

1. Allen, R.H. and Duan, X. (1995), "Effects of linearizing on rocking-block toppling", J. Struct. Eng., ASCE, 121(7), 1146-1149.
2. Allen, R.H., Oppenheim, I.J., Parker, A.R. and Bielak, J. (1986), "On the dynamic response of rigid body assemblies", Earthq. Eng. Struct., 14(6), 861-876.
3. Anderson, J.C. and Bertero, V.V. (1987), "Uncertainties in establishing design earthquakes", J. Struct. Eng., ASCE, 113(8), 1709-1724.
4. Anooshehpoor, A., Heaton, T.H., Shi, B. and Brune, J.N. (1999), "Estimates of the ground accelerations at Point Reyes Station during the 1906 San Francisco earthquake", B. Seismol. Soc. Am., 89(4), 845-853.
5. Araya, R. and Saragoni, G.R. (1984), "Earthquake accelerogram destructiveness potential factor", Proc. of the 8th World Conf. on Earthquake Engineering, San Francisco, CA, USA.
6. Arias, A. (1970), "A measure of earthquake intensity", Hansen RJ (ed), Seismic Design for Nuclear Power Plants. Massachusetts Institute of Technology Press, Cambridge, MA, USA.
7. Aslam, M., Godden, W.G. and Scalise, T. (1980), "Earthquake rocking response of rigid bodies", J. Struct. Div., ASCE, 106(ST2), 377-392.
8. Augusti, G. and Sinopoli, A. (1992), "Modelling the dynamics of large block structures", Meccanica, 27(3), 195-211.
9. Casolo, S. (2001), "Significant ground motion parameters for evaluation of the seismic performance of slender masonry towers", J. Earthq. Eng., 5(2), 187-204.
10. Chen, W.F. and Scawthorn, C. (2003), Earthquake Engineering Handbook, CRC Press, Boca Raton, FL, USA.
11. de Felice, G. and Giannini, R. (2001), "Out-of-plane seismic resistance of masonry walls", J. Earthq. Eng., 5(2), 253-271.
12. Decanini, L.D. and Mollaioli, F. (1998a), "Formulation of elastic earthquake input energy spectra", Earthq. Eng. Struct., 27(12), 1503-1522.
13. Decanini, L.D. and Mollaioli, F. (1998b), "Parameters to be considered in the establishment of the design earthquake based on energy concepts", Structural Engineering World Wide, Elsevier, New York, NY, USA.
14. Fajfar, P., Vidic, T. and Fischinger, M. (1989), "Seismic demand in medium- and long-period structures", Earthq. Eng. Struct., 18(8), 1133-1144.
15. Gregor, N.J. and Bolt, B.A. (1997), "Peak strong motion attenuation relations for horizontal and vertical ground displacements", J. Earthq. Eng., 1(2), 275-292.
16. Hogan, S.J. (1992a), "The effect of damping on rigid block motion under harmonic forcing", Proc. R. Soc. Lon. Ser.-A, 437(1899), 97-108.
17. Hogan, S.J. (1992b), "Heteroclinic bifurcations in damped rigid block motion", Proc. R. Soc. Lon. Ser, 439(1905), 155-162.
18. Housner, G.W. (1963), "The behavior of inverted pendulum structures during earthquakes", B. Seismol. Soc. Am., 53(2), 403-417.
19. Housner, G.W. and Jennings, P.C. (1964), "Generation of artificial earthquakes", J. Eng. Mech. Div, ASCE, 90(EM1), Proceedings Paper 3806.
20. Ishiyama, Y. (1982), "Motions of rigid bodies and criteria for overturning by earthquake excitations", Earthq. Eng. Struct., 10(5), 635-650.
21. Ishiyama, Y. (1984), "Motions of rigid bodies and criteria for overturning by earthquake excitations", Bulletin of the New Zealand National Society for Earthquake Engineering, 17(1), 24-37.
22. Iyengar, R.N. and Manohar, C.S. (1991), "Rocking response of rectangular rigid blocks under random noise base Excitations", Int. J. Nonlinear Mech., 26(6), 885-892.
23. Koh, A.S. and Mustafa, G. (1990), "Free rocking of cylindrical structures", J. Eng. Mech., ASCE, 116(1), 35-54.
24. Liberatore, D. and Spera, G (2001a). "Response of slender blocks subjected to seismic motion of the base: Experimental results and numerical analyses", Proc. of the 5th Int. Symposium on Computer Methods in Structural Masonry, Rome, Italy, April.
25. Liberatore, D. and Spera, G. (2001b). "Oscillazioni di blocchi snelli: valutazione sperimentale della dissipazione di energia durante gli urti", Proc. of the X Convegno Nazionale "L'Ingegneria Sismica in Italia", Potenza-Matera, Italy, September.
26. Lipscombe, PR. and Pellegrino, S. (1989), "'Rocking' of rigid-block systems under dynamic loads", Allison, I.M. and Ruiz, C. (eds), Applied Solid Mechanics 3, Elsevier, New York, NY, USA.
27. Lipscombe, P.R. and Pellegrino, S. (1993), "Free rocking of prismatic blocks", J. Eng. Mech., ASCE, 119(7), 1387-1410.
28. Makris, N. and Black, C. (2002), "Uplifting and overturning of equipment anchored to a base foundation", Earthquake Spectra, 18(14), 631-661.
29. Makris, N. and Konstantinidis, D. (2003), "The rocking spectrum and the limitations of practical design methodologies", Earthq. Eng. Struct., 32(2), 265-289.
30. Miranda, E. and Ruiz-Garcia, J. (2002), "Influence of stiffness degradation on strength demands of structures built on soft soil sites", Eng. Struct., 24(10), 1271-1281.
31. Mollaioli, F., Bruno, S. and Decanini, L.D. (2002). "Damage potential of severe long duration acceleration pulses in near-fault records", Proc. of the 12th European Conf. on Earthquake Engineering, London, UK, September.
32. Ojeda, A. and Escallon, J. (2000), "Comparison between different techniques for evaluation of predominant periods using strong ground motion records and microtremors in Pereira Colombia", Soil Dyn. Earthq. Eng., 20(1-4), 137-143.
33. Omori, F. (1900), Seismic Experiments on the Fracturing and Overturning of Columns. Publications of the Earthquake Investigations Committee in Foreign Languages, Tokyo, Japan, n.4.
34. Papantonopoulos, C., Psycharis, I.N., Papastamatiou, D.Y., Lemos, J.V. and Mouzakis, H.P. (2002), "Numerical prediction of the earthquake response of classical columns using the distinct element method", Earthq. Eng. Struct., 31(9), 1699-1717.
35. Park, Y.J., Ang, H.S. and Wen, Y.K. (1985), "Seismic damage analysis of reinforced concrete buildings", J. Struct. Eng., ASCE, 111(4), 740-757.
36. Flaut, R.H., Fielder, W.T. and Virgin, L.N. (1996), "Fractal behavior of an asymmetric rigid block overturning due to harmonic motion of a tilted foundation", Chaos Soliton. Fract., 7(2), 177-196.
37. Pompei, A., Scalia, A. and Sumbatyan, M.A. (1998), "Dynamics of rigid block due to horizontal ground motion", J. Eng. Mech., ASCE, 124(7), 713-717.
38. Psycharis, I.N., Papastamatiou, D.Y. and Alexandris, A.P. (2000), "Parametric investigation of the stability of classical columns under harmonic and earthquake excitations", Earthq. Eng. Struct., 29(8), 1093-1109.
39. Shenton, H.W. III (1996), "Criteria for initiation of slide, rock, and slide-rock rigid-body modes", J. Eng. Mech., ASCE, 122(7), 690-693.
40. Shenton, H.W. III and Jones, N.P. (1991), "Base excitation of rigid bodies. I: Formulation", J. Eng. Mech., ASCE, 117(10), 2286-2306.
41. Shi, B., Anooshehpoor, A., Zeng, Y. and Brune, J.N. (1996), "Rocking and overturning of precariously balanced rocks by earthquakes", B. Seismol. Soc. Am., 86(5), 1364-1371.
42. Sinopoli, A. (1987), "Dynamics and impact in a system with unilateral constraints. The relevance of dry friction", Meccanica, 22(3), 210-215.
43. Sinopoli, A. and Sepe, V. (1993), "Coupled motion in the dynamic analysis of a three block structure", Appl. Mech. Rev., ASME, 46(11), S185-S197.
44. Suherman, S., Plaut, R.H., Watson, L.T. and Thompson, S. (1997), "Effect of human response time on rocking instability of a two-wheeled suitcase", J. Sound Vib., 207(5), 617-625.
45. The MathWorks Inc. (2003), MATLAB, Natick, MA, USA.
46. Tocci, C. (1996), "Dinamica Delle Structure a Blocchi Sovrapposti. Le Colonne Isolate", Ph.D. Dissertation, Università "La Sapienza", Rome, Italy.
47. Trifunac, M.D. and Brady, A.G (1975), "A study on the duration of strong earthquake ground motion", B. Seismol. Soc. Am., 65(3), 581-626.
48. Virgin, L.N., Fielder, W.T. and Plaut, R.H. (1996), "Transient motion and overturning of a rocking block on a seesawing foundation", J. Sound Vib., 191(1), 177-187.
49. Yim, C.S., Chopra, A.K. and Penzien, J. (1980), "Rocking response of rigid blocks to earthquakes", Earthq. Eng. Struct., 8(6), 565-587.