A New Mechanical Model for Particle Transport by Surface Waves and Applications

Mathematical Problems in Engineering ◽

10.1155/2009/731358 ◽

2009 ◽

Vol 2009 ◽

pp. 1-17

Author(s):

Minvydas Ragulskis ◽

Edita Sakyte ◽

Jesús M. Seoane ◽

Miguel A. F. Sanjuán

Keyword(s):

Numerical Analysis ◽

Surface Waves ◽

Particle Transport ◽

Mechanical Model ◽

Common Property ◽

Initial Conditions ◽

Period Doubling ◽

Practical Applications ◽

Control Techniques ◽

Ball Problem

We present a study of the behavior of a ball under the influence of gravity on a platform. A propagating surface wave travels on the surface of the platform while the platform remains motionless. This is a modification of the classical bouncing ball problem and describes the transport of particles by surface waves. Phase and velocity maps cannot be expressed in the explicit form due to implicit formulations, and no formal analytical analyses is possible. Numerical analysis shows that the transition to chaos is produced via a period doubling route which is a common property for classical bouncers. These numerical analysis have been carried out for the conservative and for the viscous cases and also for elastic and for inelastic collisions. The bouncing process can be sensitive to the initial conditions and can be useful for control techniques which can dramatically increase the effectiveness of particle transport in practical applications. Finally, we also consider the mechanical model of a particle sliding on a surface which is also important because it has important physical implications such as the transportation of thin films in biomedical applications, among others.

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Particle transport by angular momentum on three-dimensional standing surface waves

Physical Review Letters ◽

10.1103/physrevlett.67.2650 ◽

1991 ◽

Vol 67 (19) ◽

pp. 2650-2653 ◽

Cited By ~ 7

Author(s):

Makoto Umeki

Keyword(s):

Angular Momentum ◽

Surface Waves ◽

Particle Transport ◽

Three Dimensional

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Study on the Screening Effectiveness of Vibration Isolation Trench

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.71-78.4444 ◽

2011 ◽

Vol 71-78 ◽

pp. 4444-4448 ◽

Cited By ~ 1

Author(s):

X. M. Zhang ◽

J. Li ◽

J. S. Yang

Keyword(s):

Surface Waves ◽

Mechanical Model ◽

Vibration Isolation ◽

Coupling Effect ◽

Rapid Development ◽

Noise Pollution ◽

Vibration Energy ◽

Residual Vibration ◽

Screening Effectiveness

With the rapid development of industry and transportation, the awareness of environmental problems such as noise pollution and vibration pollution and so on, has led to an increasing interest in methods for noise and vibration isolation. The dynamic mechanical model for forging hammer foundation is analyzed firstly. Through the choice of the scheme of vibration isolation, one vibration isolation trench coupling the piles in rows was design. Grouting piles used as exterior protected structure for vibration isolation trench, which have a role of rigid vibration isolation. Soft material in-filled in the trench, which has a function of flexible isolation, can absorb the residual vibration energy penetrating through the piles in rows. It indicated by the site measurements that the surface waves should be hold back and diffracted effectively by the coupling effect of flexible isolation of the in-filled material and the rigid isolation of piles in rows.

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