Dynamics of in-plane arch rocking: An energy approach

Proceedings of the Institution of Civil Engineers: Engineering and Computational Mechanics

Volumn 163, Issue 3, 2010, Pages 179-186

  Dejong, Matthew J ^a   Ochsendorf, John A ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Dynamics; Mathematical modeling; Seismic engineering

Indexed keywords

ANALYTICAL MODEL; ENERGY APPROACH; EXPERIMENTAL INVESTIGATIONS; GROUND MOTIONS; HIGHLY SENSITIVE; IN-PLANE; MASONRY ARCHES; MATHEMATICAL MODELING; RATE-OF-ENERGY; ROCKING RESPONSE; SEISMIC ENGINEERING; SEISMIC LOADINGS; TIME HISTORY;

AMPLIFICATION; BEHAVIORAL RESEARCH; COMPUTER SIMULATION; MASONRY BRIDGES; MASONRY CONSTRUCTION; MASONRY MATERIALS; MATHEMATICAL MODELS; MODELS; SEISMOLOGY;

ARCHES;

EID: 79958232406     PISSN: 17550777     EISSN: 17470785     Source Type: Journal    
DOI: 10.1680/eacm.2010.163.3.179     Document Type: Article

References (18)

1. Clemente P (1998) Introduction to dynamics of stone arches. Earthquake Engineering & Structural Dynamics 27(5): 513-522.
2. DeJong MJ (2009) Seismic Assessment Strategies for Masonry Structures. PhD dissertation, Massachusetts Institute of Technology, Cambridge, MA.
3. DeJong MJ, De Lorenzis L and Ochsendorf J (2008) Rocking stability of masonry arches in seismic regions. Earthquake Spectra 24(4): 847-865.
4. De Lorenzis L, DeJong MJ and Ochsendorf J (2007) Failure of masonry arches under impulse base motion. Earthquake Engineering & Structural Dynamics 36(14): 2119-2136.
5. Gasparini DA and Vanmarcke EH (1976) Simulated Earthquake Motions Compatible with Prescribed Response Spectra. Massachusetts Institute of Technology, Cambridge, MA, Civil engineering research report R76-4.
6. Hogan SJ (1990) The many steady state responses of a rigid block under harmonic forcing. Earthquake Engineering & Structural Dynamics 19(7): 1057-1071.
7. Housner GW (1963) The behavior of inverted pendulum structures during earthquakes. Bulletin of the Seismological Society of America 53(2): 403-417.
8. Lenci S and Rega G (2006) A dynamical systems approach to the verturning of rocking blocks. Chaos, Solitons & Fractals 28(2): 527-542.
9. Makris N and Roussos Y (2000) Rocking response of rigid blocks under near-source ground motions. Géotechnique 50(3): 243-262.
10. Oppenheim IJ (1992) The masonry arch as a four-link mechanism under base motion. Earthquake Engineering & Structural Dynamics 21(11): 1005-1017.
11. Pompei A, Scalia A and Sumbatyan MA (1998) Dynamics of rigid blocks due to horizontal ground motion. ASCE Journal of Engineering Mechanics 124(7): 713-717.
12. Rao SS and Sundararajan V (1969) In-plane vibration of circular rings. ASME Journal of Applied Mechanics 36(3): 620-625.
13. Shenton HW (1996) Criteria for initiation of slide, rock, and slide-rock rigid-body modes. ASCE Journal of Engineering Mechanics 122(7): 690-693.
14. Sokolov VY (2002) Seismic intensity and Fourier acceleration spectra: revised relationship. Earthquake Spectra 18(1): 161-187.
15. Spanos PD and Koh A (1984) Rocking of rigid blocks due to harmonic shaking. ASCE Journal of Engineering Mechanics 110(11): 1627-1642.
16. Tso WK and Wong CM (1989) Steady state rocking response of rigid blocks, Part I: Analysis. Earthquake Engineering & Structural Dynamics 18(1): 89-106.
17. Tüfekçi E and Arpaci A (1998) Exact solution of in-plane vibrations of circular arches with account taken of axial extension, transverse shear, and rotatory inertia effects. Journal of Sound and Vibration 209(5): 845-856.
18. Zhang J and Makris N (2001) Rocking response of freestanding blocks under cycloidal pulses. ASCE Journal of Engineering Mechanics 127(5): 473-483.