KVAZISTATYCHNYY THERMOELASTICITY INHOMOGENOUS ELEMENTS MACHINES AND MECHANISMS IN MODERN FOOD TECHNOLOGY


  • B. R. Tsizh LNU of Veterinary Medicine and Biotechnologies; Kazimierz Wielki University in Bydgoszcz
  • Yu. Yu. Varyvoda LNU of Veterinary Medicine and Biotechnologies
  • V. O. Volos LNU of Veterinary Medicine and Biotechnologies
  • M. I. Chokhan LNU of Veterinary Medicine and Biotechnologies
  • Ya. Ya. Mahola LNU of Veterinary Medicine and Biotechnologies
  • F. M. Gonchar Lviv Polytechnic National University
Keywords: the components of the displacement vector and the stress tensor, thermoelastic state bodies inhomogeneous structure, unsteady heat conduction, hypothesis of immutable norms of relations Dyugamelya- Neumann, the temperature coefficient of linear expansion

Abstract

There was suggested the investigation method of the influence of the presented non-stationary environment temperature conditions on the course of physical and mechanical processes in heterogeneous plate and cylinder structures of the working equipment, hardware tools and machinery of modern food production. Following this aim there was formulated a corresponding quasistatic problem of thermoelasticity for inhomogeneous and piecewise homogeneous structures and compound bodies or bodies in the form of basic matrices containing foreign (the through or non-through) inclusions of various shapes and species. These are new problems (mainly three-dimensional) of thermomechanics inhomogeneous structures. Therefore on output of the corresponding Dyugamelya – Neumann's relations there is taken into account that the whole complex of physical-mechanical, thermalphysical and geometric characteristics of the inhomogeneous structure bodies as a single unit (Lame’s coefficients, Young's modulus and shear modulus, Poisson's ratio and the temperature coefficient of linear expansion) are functions of cylindrical coordinates. On the basis of additional hypotheses and assumptions the construction of such layered and composite environment models allows to consider the microstructure of the material and to determine the macroscopic parameters; that is, to solve problems of thermomechanics multicomponent media. Taking into account the hypothesis of immutable rules in the work there were derived examples for the components of the stress tensor and interconnection of differential equations system of second order thermoelasticity in partial derivatives for displacements vector components.

 

Author Biographies

B. R. Tsizh, LNU of Veterinary Medicine and Biotechnologies; Kazimierz Wielki University in Bydgoszcz
PhD, Professor
Yu. Yu. Varyvoda, LNU of Veterinary Medicine and Biotechnologies
PhD, Associate Professor
V. O. Volos, LNU of Veterinary Medicine and Biotechnologies
PhD, Associate Professor
M. I. Chokhan, LNU of Veterinary Medicine and Biotechnologies
PhD, Associate Professor
Ya. Ya. Mahola, LNU of Veterinary Medicine and Biotechnologies
bachelor
F. M. Gonchar, Lviv Polytechnic National University
PhD, Associate Professor

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Published
2015-04-07
How to Cite
Tsizh, B. R., Varyvoda, Y. Y., Volos, V. O., Chokhan, M. I., Mahola, Y. Y., & Gonchar, F. M. (2015). KVAZISTATYCHNYY THERMOELASTICITY INHOMOGENOUS ELEMENTS MACHINES AND MECHANISMS IN MODERN FOOD TECHNOLOGY. Scientific Messenger of LNU of Veterinary Medicine and Biotechnologies. Series: Food Technologies, 17(4), 179-186. Retrieved from https://nvlvet.com.ua/index.php/food/article/view/3271
Section
Technological ensuring of production, processing of products of animal origin