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A three dimensional DEM model was developed for a single multiblock Corinthian column from the Roman temple of Jupiter in Baalbek and used to investigate the response of the full size column as well as 0.5 m and 1 m reduced models that are used in shaking table experiments. 25 cycles of harmonic pulses of varying periods and accelerations were applied until collapse was observed. The critical combinations causing collapse were identified. The displacement history of the top column block was plotted alongside the harmonic excitation signal applied to the base of the column in order to visualize the rocking and/or wobbling response. The in-plane rocking and the out-of-plane wobbling were identified. Numerical stability charts were plotted showing safe-unsafe boundaries. Column responses included stable and unstable rocking of the whole column, stable and unstable multi-block rocking with toppling of upper blocks and combinations of rocking and wobbling. The type of column response, resulting structural disorder and collapse modes are shown to be dependent on the excitation period. The reliability of the results and the predictive capabilities of the model are discussed.