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Rocking stability: numerical and experimental investigation on prismatic blocks

Rocking of prismatic rigid blocks is analysed and a numerical procedure based on precise contact detection is developed and tested. First, a parametric study of free rocking of blocks of different slenderness and size is conducted experimentally. Energy loss in relation to existing restitution models (Housner’s classical model [1] and the improved model by Kalliontzis et al. [2]) is investigated in detail. Based on the numerically and experimentally obtained results, the use of the improved model is strongly encouraged, and a procedure to estimate the unknown parameter in the improved formula is suggested. Secondly, stability full time response due to a single sine- or cosine-wave acceleration excitation is obtained numerically, where the improved restitution model [2] with the suggested estimated parameter is used. Finally, a chosen set of numerical cases is validated experimentally using a specifically designed set of experiments involving shaking tables and optical measurement equipment. REFERENCES [1] G. W. Housner, “The behavior of inverted pendulum structures during earthquakes, ” Bull. Seismol. Soc. Am., vol. 53, no. 2, pp. 403–417, 1963. [2] D. Kalliontzis, S. Sritharan, and A. Schultz, “Improved Coefficient of Restitution Estimation for Free Rocking Members, ” J. Struct. Eng., vol. 142, no. 12, 2016.

rocking ; numerical analysis ; experimental investigation

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