Simulation of periodic mono-sized hard sphere systems under different vibration conditions and resulting compaction

Then, the symmetric vibration is replaced by a random vibration in which particles attempt to perform alternatively random upwards and downwards displacements whose inclination with the vertical axis follows a normal distribution. It is shown that in these conditions, the vibration still allows transforming the initial packing into a partial “suspension” but the proportion of vibrating particles is lower than for the symmetric vibration previously used. However, the “suspension model” can be extended with a reasonable agreement to this kind of vibration.