This study focuses on the experimental response of free-standing hard limestone blocks
under free vibration. The campaign includes 120 tests, varying the block’s height-to-width
ratio and considering multiple specimens to account for the aleatoric variability of the
phenomenon. The study offers full reconstruction of the three-dimensional free-rocking
motion, giving insights into the influence of unintended geometrical asymmetries, as well
as material and interface irregularities on the response. The paper revisits the experimental
estimation of the angular Coefficient of Restitution (CoR) through different methodologies
based on the angular velocities, potential energy, and potential and frictional energies.
The results are compared with Housner’s theoretical model. Due to the sensitive nature of
rocking motion, a statistical approach is employed. The findings indicate that Housner’s
model provides statistically accurate predictions of energy losses for blocks of mediumto-
high slenderness (i.e. with aspect ratio 5 ≤ H/B ≤ 10 while it becomes statistically
inaccurate for very slender H/B > 10 and very stocky H/B < 5 blocks. Importantly,
the study demonstrates that all three experimentally estimated CoRs statistically depend
on the aspect ratio. Finally, the CoRs extracted from the potential energy and potential
and frictional energies are found statistically dependent on the rocking amplitude, while
the CoR extracted from the angular velocities show statistical independence. Overall, this
study offers a pathway for more systematic analyses and improved predictions of energy
losses during impacts.