Dynamic Influence of Spindle Wobble in a Lathe on the Workpiece Geometry

The influence of spindle wobble in a lathe on the geometry of the machined surface is not direct. The intermediate stages involve conversion of the wobble to forces and elastic deformations. Together with the elastic deformation, wobble modifies the shaping trajectories, which are mainly responsible...

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Bibliographic Details
Published in:Russian engineering research 2018-09, Vol.38 (9), p.723-725
Main Authors: Zakovorotny, V. L., Gvindzhiliya, V. E.
Format: Article
Language:English
Subjects:
Dynamical systems
DYNAMICS
Elastic deformation
ELASTICITY
ENGINEERING
Engineering Design
GEOMETRY
LATHES
LIMIT CYCLE
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
Periodic variations
SHAPE
SURFACES
TORI
Toruses
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Summary:The influence of spindle wobble in a lathe on the geometry of the machined surface is not direct. The intermediate stages involve conversion of the wobble to forces and elastic deformations. Together with the elastic deformation, wobble modifies the shaping trajectories, which are mainly responsible for the geometry of the final product. Wobble induces periodic variation in the parameters of the dynamic system. It leads not only to parametric self-excitation but also, in a nonlinear dynamic system, to the formation of various attractive deformational-displacement sets. The present work is devoted to mathematical modeling of the influence of wobble on the workpiece geometry. Cases in which various types of attractive sets are formed in the system (such as limit cycles, invariant tori, and chaotic attractors) are considered.
ISSN:1068-798X
1934-8088
DOI:10.3103/S1068798X18090307