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World Journal of Engineering
Research and Technology

( An ISO 9001:2015 Certified International Journal )

An International Peer Reviewed Journal for Engineering Research and Technology

ISSN 2454-695X

Impact Factor : 5.924

ICV : 79.45

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Indexing

Abstract

ESTABLISHING THE EQUATIONS THAT DETERMINE THE VIBRATION MOVEMENT OF THE SPINDLE IN LONGITUDINAL DIRECTION AT CNC LATHE

Dr. Daniel Popescu*

ABSTRACT

The paper presents a mathematical model for analysis of vibration movements in case of CNC lathes. It is a known fact that vibrations represent an important component in determining the precision of a CNC machine. The longitudinal direction movement equations are established using Lagrange equations which combined with the transversal movement equations create a complex image of the dynamic response of the system which under limit conditions influences the precision of the CNC lathe. An important aspect is that the proposed model takes into account most of the relevant working hypotheses. The proposed equations describe at the highest possible level the vibration stability of the main spindle of the machine tool. Additionally, the proposed mathematical model has a high generality degree allowing it to be used for dynamic analysis of other types of CNC machine tools as well.

[Full Text Article]