Response analysis of rigid structures rocking on viscoelastic foundation

Earthquake Engineering and Structural Dynamics

Volumn 37, Issue 7, 2008, Pages 1039-1063

  Palmeri, Alessandro ^a   Makris, Nicos ^b  

^a UNIVERSITY OF BRADFORD   (United Kingdom)

^b UNIVERSITY OF PATRAS   (Greece)

Author keywords

Overturning; Rocking; Seismic stability; Stepping bridges; Uplifting; Viscoelastic foundation

Indexed keywords

DAMPING; EQUATIONS OF MOTION; FOUNDATIONS; IMPULSE RESPONSE; NONLINEAR ANALYSIS; STIFFNESS;

ROCKING RESPONSE; SLENDER/RIGID STRUCTURES; VISCOELASTIC FOUNDATION;

SEISMIC RESPONSE;

BRIDGE; DAMPING; DYNAMIC RESPONSE; FOUNDATION; GROUND MOTION; NONLINEARITY; OVERTURN; RESPONSE ANALYSIS; STABILITY ANALYSIS; STRONG MOTION; STRUCTURAL RESPONSE; UPLIFT; VISCOELASTICITY;

EID: 43749101150     PISSN: 00988847     EISSN: 10969845     Source Type: Journal    
DOI: 10.1002/eqe.800     Document Type: Article

References (33)

1. 1 Beck JL, Skinner RI. The seismic response of a reinforced concrete bridge pier designed to step. Earthquake Engineering and Structural Dynamics 1974 ; 2: 343–358.
2. 2 Yashinsky M, Karshenas MJ. Fundamental of seismic protection for bridges. EERI Monograph MNO‐9, 2003.
3. 3 Dowdell DJ, Hamersley BA. Lions Gate Bridge North approach—seismic retrofit. In Behaviour of Steel Structures in Seismic Areas—STESSA 2000. Proceedings of the Third International Conference, Montreal, Canada, Mazzolani FM, Tremblay R (eds). 2000; 319–326.
4. 4 Housner GW. The behaviour of inverted pendulum structures during earthquakes. Bulletin of the Seismological Society of America 1963 ; 53: 404–417.
5. 5 Yim CK, Chopra AK, Penzien J. Rocking response of rigid blocks to earthquakes. Earthquake Engineering and Structural Dynamics 1980 ; 8: 565–587.
6. 6 Ishiyama Y. Motion of rigid bodies and criteria for overturning by earthquake excitations. Earthquake Engineering and Structural Dynamics 1982 ; 10: 635–650.
7. 7 Aslam M, Godden WG, Scalise DT. Earthquake rocking response of rigid bodies. Journal of the Engineering Mechanics Division (ASCE) 1980 ; 106: 377–392.
8. 8 Psycharis IN. Dynamic behavior of rocking structures allowed to uplift. Report No. EEERL 81‐02, 1981.
9. 9 Spanos PD, Koh AS. Rocking of rigid blocks due to harmonic shaking. Journal of the Engineering Mechanics Division (ASCE) 1984 ; 110: 1627–1642.
10. 10 Hogan SJ. On the dynamics of rigid‐block motion under harmonic forcing. Proceedings of the Royal Society of London, Series A 1989 ; 425: 441–476.
11. 11 Shenton III HW. Criteria for initiation of slide, rock and slide–rock rigid‐body modes. Journal of Engineering Mechanics (ASCE) 1996 ; 122: 690–693.
12. 12 Shi B, Anooshehpoor A, Zeng Y, Brune JN. Rocking and overturning of precariously balanced rocks by earthquakes. Bulletin of the Seismological Society of America 1996 ; 86: 1364–1371.
13. 13 Makris N, Roussos Y. Rocking response of rigid blocks under near source ground motions. Geotechnique 2000 ; 50: 243–262.
14. 14 Zhang J, Makris N. Rocking response and overturning of free‐standing blocks under cycloidal pulses. Journal of Engineering Mechanics (ASCE) 2001 ; 127: 473–483.
15. 15 Psycharis IN, Jennings PC. Rocking of slender rigid bodies allowed to uplift. Earthquake Engineering and Structural Dynamics 1983 ; 11: 57–76.
16. 16 Yim CK, Chopra AK. Dynamics of structures on two‐spring foundation allowed to uplift. Journal of Engineering Mechanics (ASCE) 1984 ; 110: 1124–1146.
17. 17 Gazetas G. Overturning and settlement in Adapazari during the 1999 Izmit (Turkey) Earthquake. Proceedings of the 1st International Conference on the Kocaeli Earthquake of 17 August 1999, Instabul, Turkey, 1999.
18. 18 Apostolou M, Gazetas G, Garini E. Seismic response of slender rigid structures with foundation uplifting. Soil Dynamics and Earthquake Engineering 2007 ; 27: 642–654.
19. 19 An T, Kiyomiya O. Dynamic response analyses and model vibration tests on seismic isolating foundation of bridge pier. Structural Engineering/Earthquake Engineering (JSCE) 2006 ; 23: 195s–214s.
20. 20 Chen Y‐H, Liao W‐H, Lee C‐L, Wang Y‐P. Seismic isolation of viaduct piers by means of a rocking mechanism. Earthquake Engineering and Structural Dynamics 2006 ; 35: 713–736.
21. 21 Cheng C‐T. Energy dissipation in rocking bridge piers under free vibration tests. Earthquake Engineering and Structural Dynamics 2007 ; 36: 503–518.
22. 22 Palmeri A, Makris N. Response analysis of rigid structures rocking on viscoelastic foundation. Report No. EEAM 2005‐02, 2005.
23. 23 Palmeri A, Makris N. Linearization and first‐order expansion of the rocking motion of rigid blocks stepping on viscoelastic foundation. Earthquake Engineering and Structural Dynamics 2008 ; DOI: 10.1002/eqe.799.
24. 24 Velestos AS, Newmark NM, Chelepati CV. Deformation spectra for elastic and elastoplastic systems subjected to ground shock and earthquake motions. Proceedings of the 3rd World Conference on Earthquake Engineering, vol. 2, Wellington, New Zealand, 1965 ; 663–682.
25. 25 Hall JF, Heaton TH, Halling MW, Wald DJ. Near‐source ground motion and its effects on flexible buildings. Earthquake Spectra 1995 ; 11: 569–605.
26. 26 Makris N, Chang SP. Effect of viscous, viscoplastic and friction damping on the response of seismic isolated structures. Earthquake Engineering and Structural Dynamics 2000 ; 29: 85–107.
27. 27 Makris N, Black CJ. Dimensional analysis of rigid‐plastic and elastoplastic structures under pulse‐type excitations. Journal of Engineering Mechanics (ASCE) 2004 ; 130: 1006–1018.
28. 28 Makris N, Black CJ. Dimensional analysis of bilinear oscillators under pulse‐type excitations. Journal of Engineering Mechanics (ASCE) 2004 ; 130: 1019–1031.
29. 29 Makris N, Black CJ. Evaluation of peak ground velocity as a ‘good’ intensity measure for near‐source ground motions. Journal of Engineering Mechanics (ASCE) 2004 ; 130: 1032–1044.
30. 30 Mavroeidis GP, Papageorgiou AS. A mathematical representation of near‐fault ground motions. Bulletin of the Seismological Society of America 2003 ; 93: 1099–1131.
31. 31 Psycharis IN, Jennings PC. Upthrow of objects due to horizontal impulse excitation. Bulletin of the Seismological Society of America 1985 ; 75: 543–561.
32. 32 Kelly JM. Earthquake‐resistant Design with Rubber. Springer: London, U.K., 1997.
33. 33 Martinez‐Rodrigo MD, Luco JE. Seismic base‐isolation by use of a telescopic stepping mechanism. Earthquake Engineering and Structural Dynamics 2005 ; 34: 227–245.