Task‐specific measurement uncertainty budget of Curvic‐coupling using analytical methods

Bekim V. Gashi; Trevor Toman; Ranveer S. Matharu

doi:10.1051/metrology/201909007

Task‐specific measurement uncertainty budget of Curvic‐coupling using analytical methods

Bekim V. Gashi
, Trevor Toman
, Ranveer S. Matharu

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding › peer-review

102 Downloads (Pure)

Abstract

A number of Industrial reference components manufactured by grinding to achieve tight dimensional tolerances. In this paper, we present an uncertainty budget of a reference forty-tooth # Curvic measured using an accurate Coordinate Measuring Machine (CMM) in a temperature-controlled laboratory. A number of measurements conducted on Curvicto assess measurement repeatability and reproducibility. Expanded uncertainty budget evaluated from twenty-one Influencing factors, giving8.7 µm (7.1 µm from Type A) and 11 µm (9.6 µm from Type A), respectively, for repeatability and reproducibility test (k >2). Measurement uncertainty due to steady-state thermal effects is 2.2 µm. An adaptable model is presented to evaluate transient thermal effects, a factor often neglected in measurement uncertainty. Thermal time constant uncertainty associated with transient thermal effects is evaluated u(τ)= ±398 s, which corresponds to ±15 % of thermal time constant expanded uncertainty, u(τ)= ±2570 s. # Curvic® (Curvic is a trademark of The Gleason Works, 1000 University Avenue, Rochester, NY, 14603, USA)

Original language	English
Title of host publication	International Congress of Metrology
Publisher	EDP Sciences
Number of pages	22
Volume	2019
DOIs	https://doi.org/10.1051/metrology/201909007
Publication status	Published - 23 Sept 2019
Event	19th International Metrology Congress - Paris Porte de Versailles Exhibition Hall 4, Paris, France Duration: 24 Sept 2019 → 26 Sept 2019 Conference number: 19 http://www.cim2019.com/programme-congress-international-metrology.html

Conference

Conference	19th International Metrology Congress
Abbreviated title	CIM 2019
Country/Territory	France
City	Paris
Period	24/09/19 → 26/09/19
Internet address	http://www.cim2019.com/programme-congress-international-metrology.html

Bibliographical note

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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title = "Task‐specific measurement uncertainty budget of Curvic‐coupling using analytical methods",

abstract = " A number of Industrial reference components manufactured by grinding to achieve tight dimensional tolerances. In this paper, we present an uncertainty budget of a reference forty-tooth \# Curvic measured using an accurate Coordinate Measuring Machine (CMM) in a temperature-controlled laboratory. A number of measurements conducted on Curvicto assess measurement repeatability and reproducibility. Expanded uncertainty budget evaluated from twenty-one Influencing factors, giving8.7 µm (7.1 µm from Type A) and 11 µm (9.6 µm from Type A), respectively, for repeatability and reproducibility test (k >2). Measurement uncertainty due to steady-state thermal effects is 2.2 µm. An adaptable model is presented to evaluate transient thermal effects, a factor often neglected in measurement uncertainty. Thermal time constant uncertainty associated with transient thermal effects is evaluated u(τ)= ±398 s, which corresponds to ±15 \% of thermal time constant expanded uncertainty, u(τ)= ±2570 s. \# Curvic{\textregistered} (Curvic is a trademark of The Gleason Works, 1000 University Avenue, Rochester, NY, 14603, USA) ",

author = "Gashi, \{Bekim V.\} and Trevor Toman and Matharu, \{Ranveer S.\}",

note = "This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.; 19th International Metrology Congress, CIM 2019 ; Conference date: 24-09-2019 Through 26-09-2019",

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AU - Gashi, Bekim V.

AU - Toman, Trevor

AU - Matharu, Ranveer S.

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PY - 2019/9/23

Y1 - 2019/9/23

N2 - A number of Industrial reference components manufactured by grinding to achieve tight dimensional tolerances. In this paper, we present an uncertainty budget of a reference forty-tooth # Curvic measured using an accurate Coordinate Measuring Machine (CMM) in a temperature-controlled laboratory. A number of measurements conducted on Curvicto assess measurement repeatability and reproducibility. Expanded uncertainty budget evaluated from twenty-one Influencing factors, giving8.7 µm (7.1 µm from Type A) and 11 µm (9.6 µm from Type A), respectively, for repeatability and reproducibility test (k >2). Measurement uncertainty due to steady-state thermal effects is 2.2 µm. An adaptable model is presented to evaluate transient thermal effects, a factor often neglected in measurement uncertainty. Thermal time constant uncertainty associated with transient thermal effects is evaluated u(τ)= ±398 s, which corresponds to ±15 % of thermal time constant expanded uncertainty, u(τ)= ±2570 s. # Curvic® (Curvic is a trademark of The Gleason Works, 1000 University Avenue, Rochester, NY, 14603, USA)

AB - A number of Industrial reference components manufactured by grinding to achieve tight dimensional tolerances. In this paper, we present an uncertainty budget of a reference forty-tooth # Curvic measured using an accurate Coordinate Measuring Machine (CMM) in a temperature-controlled laboratory. A number of measurements conducted on Curvicto assess measurement repeatability and reproducibility. Expanded uncertainty budget evaluated from twenty-one Influencing factors, giving8.7 µm (7.1 µm from Type A) and 11 µm (9.6 µm from Type A), respectively, for repeatability and reproducibility test (k >2). Measurement uncertainty due to steady-state thermal effects is 2.2 µm. An adaptable model is presented to evaluate transient thermal effects, a factor often neglected in measurement uncertainty. Thermal time constant uncertainty associated with transient thermal effects is evaluated u(τ)= ±398 s, which corresponds to ±15 % of thermal time constant expanded uncertainty, u(τ)= ±2570 s. # Curvic® (Curvic is a trademark of The Gleason Works, 1000 University Avenue, Rochester, NY, 14603, USA)

U2 - 10.1051/metrology/201909007

DO - 10.1051/metrology/201909007

M3 - Conference proceeding

VL - 2019

BT - International Congress of Metrology

PB - EDP Sciences

T2 - 19th International Metrology Congress

Y2 - 24 September 2019 through 26 September 2019

ER -

Task‐specific measurement uncertainty budget of Curvic‐coupling using analytical methods

Abstract

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