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Free rocking: numerical and experimental analysis of restitution and post-impact behaviour

Free rocking of a prismatic rigid block is analysed and a numerical procedure based on precise contact detection is developed and tested. In addition, a comprehensive parametric study of free rocking of blocks of different slenderness and size is conducted experimentally. Post-impact behaviour and 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. [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 ; restitution coefficient ; energy loss ; rigid block ; free rocking ; post-impact patterns of motion ; slenderness effect

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