On vibrotransportation of a material on a surface performing rotary oscillations
| Autor: | V. B. Vasil’kov, Yu. A. Semenov, I. I. Blekhman |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Surface (mathematics) Centrifugal force Plane (geometry) Materials Science (miscellaneous) media_common.quotation_subject Motion (geometry) Harmonic (mathematics) Mechanics Inertia Industrial and Manufacturing Engineering Vibration Solid body Business and International Management media_common |
| Zdroj: | Vibroengineering PROCEDIA. 25:13-19 |
| ISSN: | 2538-8479 2345-0533 |
| DOI: | 10.21595/vp.2019.20745 |
| Popis: | The problem is formulated for the motion of a solid body (material particle) along a rough flat surface that performs rotary harmonic oscillations as a solid body around an axis lying in or outside the plane. This problem is of interest when designing new process machines to be used in the processing of natural and technogenic materials. It is also directly applicable to the problem of transportation of loose goods by sea in rolling conditions. The paper considers continuous motion of a particle along a vibrating surface without separation. The nonlinear differential equation obtained is significantly more complicated than the equation for the case of translational surface oscillations, which is well studied in the existing literature. This complication is due, in particular, to the presence of the centrifugal force of inertia and the Coriolis forces, as well as to the time dependence of the angle of inclination of the plane. The case when these forces may be neglected is considered in detail. It is shown that application of effective parameter values allows reducing the problem to the case of translational vibration. It is also shown that the motion laws for a body under rotary oscillations are significantly different from those applying to the motion under translational vibration. They must also be taken into account when analyzing the behavior of loose cargo on sea vessels in rolling conditions. |
| Databáze: | OpenAIRE |
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