Mathematical model of temperature field distribution in thin plates during polishing with a free abrasive

The purpose of this paper is to estimate the dynamic characteristics of the heating process of thin plates during polishing with a free abrasive. A mathematical model of the temperature field distribution in space and time according to the plate thickness is based on Lagrange equation of the second...

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Bibliographic Details
Main Authors: Avilov, Alex, Syrovatka, Vladimir, Hubiev, Rustam, Baryshnikova, Olga
Format: Conference Proceeding
Language:English
Subjects:
Dynamic characteristics
Elasticity
Euler-Lagrange equation
Irreversible processes
Linearity
Mathematical analysis
Mathematical models
Membranes
Polishing
Product design
Radio signals
Signal reflection
Temperature distribution
Thin plates
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Summary:The purpose of this paper is to estimate the dynamic characteristics of the heating process of thin plates during polishing with a free abrasive. A mathematical model of the temperature field distribution in space and time according to the plate thickness is based on Lagrange equation of the second kind in the thermodynamics of irreversible processes (variation principle Bio). The research results of thermo elasticity of thin plates (membranes) will allow to correct the modes of polishing with a free abrasive to receive the exact reflecting surfaces of satellites reflector, to increase temperature stability and the ability of radio signal reflection, satellite precision guidance. Calculations of temperature fields in thin plates of different thicknesses (membranes) is held in the Excel, a graphical characteristics of temperature fields in thin plates (membranes) show non-linearity of temperature distribution according to the thickness of thin plates (membranes).
ISSN:2261-236X
2274-7214
2261-236X
DOI:10.1051/matecconf/201710201004