Open AccessDEFINITION OF THERMAL DISPLACEMENTS IN SHAPING OF MANUFACTURING EQUIPMENT UNITS
Author(s) -
Сергей Иванников,
С. Н. Иванников,
И. В. Манаенков,
И. В. Манаенков,
М. В. Крутякова,
Artem Opalnitskiy,
Александр Шурпо,
Alexandr Shurpo
Publication year - 2019
Publication title -
vestnik brânskogo gosudarstvennogo tehničeskogo universiteta
Language(s) - English
Resource type - Journals
ISSN - 1999-8775
DOI - 10.30987/article_5d2d9231bc8960.93315126
Subject(s) - computation , displacement (psychology) , polynomial , thermal , factorization , reliability (semiconductor) , basis (linear algebra) , computer science , mechanical engineering , mathematics , engineering , mathematical analysis , algorithm , geometry , physics , psychology , power (physics) , quantum mechanics , meteorology , psychotherapist
The paper is devoted to the development of a method for the thermal displacement definition of spindle units having the most significant impact upon parameter reliability of manufacturing equipment used in modern mechanical engineering.
Investigation methods: thermal displacement measurements of spindle units at fixed timing according to a special procedure; the approximation of thermal displacement functions obtained in an experimental way by a polynomial of the fourth degree through the least-squares method with the factor computation based on the use of matrix factorization.
On the basis of experimental and theoretical investigations there is formed a semi-empirical polynomial mathematical model for the thermal displacement definition of spindle units in manufacturing equipment by a calculation method.