Numerical Method to Calculate the Deformation of Thin Rings during Turning Operation and its Influence on the Roundness Tolerance

M. Estrems; M. Arizmendi; A. J. Zabaleta; Alain Gil

doi:10.1016/j.proeng.2015.12.572

Numerical Method to Calculate the Deformation of Thin Rings during Turning Operation and its Influence on the Roundness Tolerance

M. Estrems^*
, M. Arizmendi
, A. J. Zabaleta
, Alain Gil

^*Corresponding author for this work

Public University of Navarre

Research output: Contribution to journal › Conference article › peer-review

10 Citations (Scopus)

Abstract

This paper presents a model to estimate the total deformation of turned rings. It takes into account the clamping forces values at different angular positions of the workpiece, and the cutting forces during machining. The model is based on the Castigliano Theorem and uses the Chebyshev polynomials to get a stable solution to the differential equation of deformation. Cutting tests were conducted in a lathe and resultant roundness profiles were measured. The results showed good agreement with the model predictions.

Original language	English
Pages (from-to)	872-879
Number of pages	8
Journal	Procedia Engineering
Volume	132
DOIs	https://doi.org/10.1016/j.proeng.2015.12.572
Publication status	Published - 2015
Externally published	Yes
Event	Manufacturing Engineering Society International Conference, MESIC 2015 - Barcelona, Spain Duration: 22 Jul 2015 → 24 Jul 2015

Keywords

Castigliano Theorem
Chebyshev polynomials
Clamping Forces
Roundness Error
Turned Rings

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10.1016/j.proeng.2015.12.572

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title = "Numerical Method to Calculate the Deformation of Thin Rings during Turning Operation and its Influence on the Roundness Tolerance",

abstract = "This paper presents a model to estimate the total deformation of turned rings. It takes into account the clamping forces values at different angular positions of the workpiece, and the cutting forces during machining. The model is based on the Castigliano Theorem and uses the Chebyshev polynomials to get a stable solution to the differential equation of deformation. Cutting tests were conducted in a lathe and resultant roundness profiles were measured. The results showed good agreement with the model predictions.",

keywords = "Castigliano Theorem, Chebyshev polynomials, Clamping Forces, Roundness Error, Turned Rings",

author = "M. Estrems and M. Arizmendi and Zabaleta, \{A. J.\} and Alain Gil",

note = "Publisher Copyright: {\textcopyright} 2015 The Authors. Published by Elsevier Ltd.; Manufacturing Engineering Society International Conference, MESIC 2015 ; Conference date: 22-07-2015 Through 24-07-2015",

year = "2015",

doi = "10.1016/j.proeng.2015.12.572",

language = "English",

volume = "132",

pages = "872--879",

journal = "Procedia Engineering",

issn = "1877-7058",

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TY - JOUR

T1 - Numerical Method to Calculate the Deformation of Thin Rings during Turning Operation and its Influence on the Roundness Tolerance

AU - Estrems, M.

AU - Arizmendi, M.

AU - Zabaleta, A. J.

AU - Gil, Alain

PY - 2015

Y1 - 2015

N2 - This paper presents a model to estimate the total deformation of turned rings. It takes into account the clamping forces values at different angular positions of the workpiece, and the cutting forces during machining. The model is based on the Castigliano Theorem and uses the Chebyshev polynomials to get a stable solution to the differential equation of deformation. Cutting tests were conducted in a lathe and resultant roundness profiles were measured. The results showed good agreement with the model predictions.

AB - This paper presents a model to estimate the total deformation of turned rings. It takes into account the clamping forces values at different angular positions of the workpiece, and the cutting forces during machining. The model is based on the Castigliano Theorem and uses the Chebyshev polynomials to get a stable solution to the differential equation of deformation. Cutting tests were conducted in a lathe and resultant roundness profiles were measured. The results showed good agreement with the model predictions.

KW - Castigliano Theorem

KW - Chebyshev polynomials

KW - Clamping Forces

KW - Roundness Error

KW - Turned Rings

UR - https://www.scopus.com/pages/publications/84962800129

U2 - 10.1016/j.proeng.2015.12.572

DO - 10.1016/j.proeng.2015.12.572

M3 - Conference article

AN - SCOPUS:84962800129

SN - 1877-7058

VL - 132

SP - 872

EP - 879

JO - Procedia Engineering

JF - Procedia Engineering

T2 - Manufacturing Engineering Society International Conference, MESIC 2015

Y2 - 22 July 2015 through 24 July 2015

ER -

Numerical Method to Calculate the Deformation of Thin Rings during Turning Operation and its Influence on the Roundness Tolerance

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Keywords

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