Impulsive Dirac-delta forces in the rocking motion

Earthquake Engineering and Structural Dynamics

Volumn 33, Issue 7, 2004, Pages 839-857

  Prieto, F ^a   Lourenco P B ^a   Oliveira, C S ^b  

^a UNIVERSITY OF MINHO   (Portugal)

^b INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

Dirac delta force; Rocking block motion

Indexed keywords

COMPUTATIONAL METHODS; DATA REDUCTION; EARTHQUAKES; MATHEMATICAL MODELS;

DIRAC-DELTA FORCES; ROCKING MOTION;

STRUCTURAL ANALYSIS;

EARTHQUAKE ENGINEERING; GROUND MOTION;

EID: 2542423109     PISSN: 00988847     EISSN: None     Source Type: Journal    
DOI: 10.1002/eqe.381     Document Type: Article

References (17)

1. Housner WG. The behavior of inverted pendulum structures during earthquakes. Bulletin of the Seismological Society of America 1963; 53:403-417.
2. Hogan SJ. On the dynamics of rigid block motion under harmonic forcing. Proceedings of the Royal Society, London - Series A 1989; 425:441-476.
3. Hogan SJ. Heteroclinic bifurcations in damped rigid block motion. Proceedings of the Royal Society, London - Series A 1992; 439:155-162.
4. Spanos PD, Koh AS. Rocking of rigid blocks due to harmonic shaking. Journal of the Engineering Mechanics Division (ASCE) 1984; 110:1627-1642.
5. Yim SCS, Lin H. Nonlinear impact and chaotic response of slender rocking objects. Journal of Engineering Mechanics (ASCE) 1991; 117:2079-2100.
6. Augusti G, Sinopoli A. Modelling the dynamics of large block structures. Meccanica 1992; 27:195 211.
7. Zhang J, Makris N. Rocking response of free-standing blocks under cycloidal pulses. Journal of Engineering Mechanics (ASCE) 2001; 127:473-483.
8. Yim CS, Chopra AK, Penzien J. Rocking response of rigid blocks to earthquakes. Earthquake Engineering and Structural Dynamics 1980; 8:565-587.
9. Makris N, Roussos YS. Rocking response of rigid blocks under near-source ground motions. Geotéchnique 1999; 50:243-262.
10. Psycharis IN. Dynamic behaviour of rocking two-block assemblies. Earthquake Engineering and Structural Dynamics 1990; 19:555-575.
11. Lipscombe PR. Dynamics of rigid block structures. PhD Thesis, 1990. University of Cambridge, U.K.
12. Liberatore D et al. Rocking of slender blocks subjected to seismic motion of the base. Proceedings of the 12th European Conference on Earthquake Engineering, Ref. (760), 2002. (CD-ROM) Elsevier Science Ltd.
13. Aslam M, Godden WG, Scalise DT. Earthquake rocking response of rigid bodies. Journal of the Structural Division (ASCE) 1980; 106:377-392.
14. Tso WK, Wong CM. Steady state rocking response of rigid blocks. Part 1: Analysis. Earthquake Engineering and Structural Dynamics 1989; 18:89-106.
15. Wong CM, Tso WK. Steady state rocking response of rigid blocks. Part 2: Experiment. Earthquake Engineering and Structural Dynamics 1989; 18:107-120.
16. Kaplan W. Advanced Calculus. 4th Edition. Addison-Wesley: New York, 1991.
17. Arfken GB, Weber HJ. Mathematical Methods for Physicists. 4th Edition. Academic Press: New York, 1995.