Rotation Response of a Rigid Body under Seismic Excitation

After the 1994 Sanriku-Haruka-Oki, Japan, earthquake, rotation of tombstones along the vertical axis occurred in a graveyard about 34m from the Japan Meteorological Agency Hachinohe Observatory where strong motion was recorded. The properties of seismic motion that make a rigid rectangular solid body rotate are discussed. Shaking table tests were conducted to reproduce the rotation response of Japanese-style tombstones which typically consist of several stone blocks whose shapes are rectangular solids. Data obtained from those tests were used to calibrate a numerical model by the three-dimensional distinct element method. Results of the shaking tests and numerical analyses showed that rotation of a rigid rectangular solid body may be caused by the combination of the rocking of the body and particle motion of the input acceleration. Rotation behavior of an actual tombstone was simulated based on the observed accelerogram. Findings show that one or two cycles of particle motion near peak acceleration caused the rotation.