Vibrostability of the Milling Process Described by the Time-Variable Parameter Model

Abstract

This paper presents a method for vibrostability prognosis using a non-stationary model of the machine tool-cutting process system. The method employs Liapunov-Floquet theory. The method is illustrated by the example of the determination of limit cutting parameters using appropriate model reduction methods.

Stability analysis in milling of flexible parts based on operational modal analysis

“…Such an approach is justified when the immersion is larger than a quarter of the cutter diameter [16]. Otherwise a method that considers the time variation of the milling process needs to be considered as, for instance [17][18][19]. In order to build this matrix, specific cutting coefficients for machined material -cutting tool are required.…”

“…where DxðtÞ ¼ xðtÞ À xðt À tÞ; DyðtÞ ¼ yðtÞ À yðt À tÞ Substituting (19) for f z sin(w) into the formula (12) and dropping edge constants terms one obtains dynamic components of the local cutting forces. Transformation of local cutting forces into feed and cross-feed global forces (13) and rearranging the resulting expression in matrix form yields:…”

Development of a computational model of a lightweight vertical lathe with the use of superelements

“…Thanks to the new, better optimized software, a design department can indicate the weak links of the machine tool. The use of dynamic analyzes and the use of dynamic models of the cutting process in machine tool models [1,3,5,15] gives the opportunity to determine maximum parameters of the technological process in which a virtual machine can work.…”

Implementation of an Algorithm to Prevent Chatter Vibration in a CNC System

“…The occurrence of self-excited chatter vibrations is one of the main reasons for limiting the efficiency of machining. Performing cutting with chatter is unacceptable due to the traces left on the workpiece surface (so-called chatter marks), the noise, the risk of damage to the tool, or even the machine tool subassemblies [1]. The problem of chatter vibrations is particularly troublesome while machining the workpieces with low stiffness [2,3].…”