Brazil nut effect in a rectangular plate under horizontal vibration

An intruder to a group of identical small beads enclosed in a rectangular plate will gradually migrate to either the center or one side of the plate when the plate is subjected to a horizontal vibration. By considering probabilities for a bead to move into and off the space between the intruder and the near side of the plate, we predict that the size ratio and the mass ratio of the intruder to small bead have equal but opposite effects in determining the direction of migration. The prediction is confirmed by a molecular dynamics simulation

Brazil nut effect in annular containers

This paper investigates the motion of particles between two co-axial cylinders which are subjected to a sinusoidal vertical vibration. We measure the rising time of a large intruder from the bottom of the container to the free surface of the bed particles and find that the rising time as a function of intruder density decreases to a minimum and then increases monotonically. The result is qualitatively opposite to the previous findings in experiments using cylindrical containers where a maximal instead of minimal rising time in the small-density regime was found. The experimental results suggest that the topology of the container plays an important role in the Brazil nut effect

Distribution and density of the partition function zeros for the diamond-decorated Ising model

Exact renormalization map of temperature between two successive decorated lattices is given, and the distribution of the partition function zeros in the complex temperature plane is obtained for any decoration-level. The rule governing the variation of the distribution pattern as the decoration-level changes is given. The densities of the zeros for the first two decoration-levels are calculated explicitly, and the qualitative features about the densities of higher decoration-levels are given by conjecture. The Julia set associated with the renormalization map is contained in the distribution of the zeros in the limit of infinite decoration level, and the formation of the Julia set in the course of increasing the decoration-level is given in terms of the variations of the zero density.Comment: 8 pages,8figure

Bifurcations of subharmonics and chaotic motions of articulated towers

Engineering Structures102117-124ENST

Chaotic and periodic responses of a coupled wave-force and structure system

Computers and Structures304985-993CMST

Numerical modeling and subharmonic bifurcations of a compliant cylinder exposed to waves

Journal of Offshore Mechanics and Arctic Engineering111129-36JMOE

Dynamic instability of a parametrically excited ship rolling model

Proceedings of the Third (1993) International Offshore and Polar Engineering Conference640-64

Complex dynamics of a simple cylinder in regular waves

Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium18 th153-157PIOS

Inundation effect of wave forces on jack-up platforms

Proceedings of the International Offshore and Polar Engineering Conference3351-354POPE