MATHEMATICAL DESCRIPTION OF STRESS-STRAIN CONDITION OF BALL MILL’S PIN UNDER THE FORCE OF GRAVITY AND ROTATION
| Autor: | Yuliya Bondarenko, Sergey Hanin, Olga Bestuzheva |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
0209 industrial biotechnology Stress–strain curve 0211 other engineering and technologies Pharmaceutical Science 02 engineering and technology Mechanics Rotation Gravitation 020901 industrial engineering & automation Complementary and alternative medicine 021105 building & construction Pharmacology (medical) Ball mill |
| Zdroj: | Bulletin of Belgorod State Technological University named after. V. G. Shukhov. 4:128-133 |
| ISSN: | 2071-7318 |
| DOI: | 10.34031/article_5ca1f6356f67c4.15287599 |
| Popis: | The article discusses the pin of a ball mill under the action of constant loads of the body with grinding material, the simultaneous action of gravity and rotation due to the moment of external forces. During the operation of a ball mill, a dangerous section of the bottoms is the place where the cylindrical part of the trunnion becomes conical. The stress-strain condition of the ball mill’ pin is estimated on the basis of a mathematical model that includes a complete system of equilibrium equations, defining ratios of elastoplastic deformation. It takes into account the effects of cyclic loading of the material, with the corresponding initial and boundary conditions. The dynamic load that occurs during rotation is taken into account, according to the D'Alembert's principle, which means inertia forces are added to all acting external forces. The bend equation of pin's axle is obtained; it considers the action of inertia forces. The dependences of the deflection, deflection curvature and stress on the longitudinal coordinate under the action of gravity and rotation on the pin’s axle are obtained. The value of the shear stress from the action of torque is determined. The general expression of equivalent stress is examined. It includes the complex stress-strain condition of the ball mill’s pin, which experiences tensile stress from bending loads and shear stress of torque. |
| Databáze: | OpenAIRE |
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