Rocking motion of slender elastic body on rigid floor
A single degree of freedom (SDOF) model is presented to describe the rocking behaviour of a slender elastic body on a rigid floor. This model assumes the vibration mode to be a linear combination of flexural and rocking modes. A finite element analysis is also presented, in which following features are observed to support the assumptions of the proposed SDOF model: (1) There exists a simple relationship between the magnitudes of flexural and rocking modes, which relation can be derived from the equilibrium of moment. (2) Angular momentum is conserved at the instances of uplifting and landing.
Architectural Institute of Japan, Report on the Damage by 1978 Miyagi-ken-oki Earthquake (in Japanese), Tokyo, Japan, 1980, p.838.
Aslam, H,, Godden, W.G. and Scalise, D.T., "Earthquake Rocking Response of Rigid Bodies", Journal of the Structural Division, ASCE, Vol. 106, No. ST2, February 1980, pp. 377-392.
Clough, R. and Penzien, J., Dynamics of Structures, McGraw-Hill Inc., New York, N.Y., 1975, pp. 301-314.
Housner, G.W., "The Behavior of Inverted Pendulum Structures during Earthquakes", Bulletin of the Seismological Society of America, Vol. 53, No.2, February 1963, pp. 403-417.
Ichinose, T., Murakami, M., Ohami, K. and Hosokawa, Y., "Behavior of Stacked Crates during Earthquake", Proceedings of 8th World Conference on Earthquake Engineering, Vol. 5, July 1984, PP. 1229-1236.
Ishiyama, Y., "Motion of Rigid Bodies and Criteria for Overturning by Earthquake Excitations", Bulletin of the New Zealand National Society for Earthquake Engineering, Vol. 17, No. 1, March 1984 pp. 24-37.
Copyright (c) 1986 T. Ichinose
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