Fractal behavior of an asymmetric rigid block overturning due to harmonic motion of a tilted foundation

作者: R.H. Plaut , W.T. Fielder , L.N. Virgin

DOI: 10.1016/0960-0779(95)00059-3

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摘要: Abstract The motion of a slender rigid block with flat or concave base resting on and foundation is analyzed. may be symmetric asymmetric, the horizontal tilted. oscillates harmonically for finite period time, exhibits planar motion: it rotate about either its bottom corners, rock from one corner to other, overturn. Sliding bouncing are not considered. Energy lost during impact when point rotation switches other. number impacts prior overturning computed, results acceleration plotted in plane excitation amplitude versus frequency. boundaries separating regions associated different numbers impacts, particular boundary between nonoverturning regions, fractal.

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