Real components always deviate from their ideal dimensions. This makes every component, even a serial production, unique. Although they look the same, differences can always be observed due to different scattering factors and variations in the manufacturing process. All these factors inevitably lead to parts that deviate from their ideal shape and, therefore, have different properties than the ideal component. Changing properties can lead to major problems or even failure during operation. It is necessary to specify the permitted deviations to ensure that every single product nevertheless meets its technical requirements. Furthermore, it is necessary to estimate the consequences of the permitted deviations, which is done via tolerance analysis. During this process, components are assembled virtually and varied with the uncertainties specified by the tolerances. A variation simulation is one opportunity to calculate these effects for geometric deviations. Since tolerance analysis enables engineers to identify weak points in an early design stage, it is important to know the contribution that every single tolerance has on a certain quality-relevant characteristic, to restrict or increase the correct tolerances. In this paper, a fuzzy-based method to calculate the sensitivity is introduced and compared with the commonly used extended Fourier amplitude sensitivity test (EFAST) method. Special focus of this work is the differentiation of the sensitivity for the total system and the sensitivities for the subsystems defined by the α-cuts of the fuzzy numbers. It discusses the impact of the number of evaluations and nonlinearity on sensitivity for EFAST and the fuzzy-based method.
Skip Nav Destination
Article navigation
March 2019
Research-Article
Fuzzy Sensitivity Analysis in the Context of Dimensional Management
Thomas Oberleiter,
Thomas Oberleiter
Applied Mechanics,
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: thomas.oberleiter@fau.de
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: thomas.oberleiter@fau.de
Search for other works by this author on:
Björn Heling,
Björn Heling
Engineering Design,
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: heling@mfk.fau.de
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: heling@mfk.fau.de
Search for other works by this author on:
Benjamin Schleich,
Benjamin Schleich
Engineering Design,
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: schleich@mfk.fau.de
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: schleich@mfk.fau.de
Search for other works by this author on:
Kai Willner,
Kai Willner
Applied Mechanics,
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: kai.willner@fau.de
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: kai.willner@fau.de
Search for other works by this author on:
Sandro Wartzack
Sandro Wartzack
Engineering Design,
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: wartzack@mfk.fau.de
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: wartzack@mfk.fau.de
Search for other works by this author on:
Thomas Oberleiter
Applied Mechanics,
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: thomas.oberleiter@fau.de
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: thomas.oberleiter@fau.de
Björn Heling
Engineering Design,
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: heling@mfk.fau.de
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: heling@mfk.fau.de
Benjamin Schleich
Engineering Design,
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: schleich@mfk.fau.de
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: schleich@mfk.fau.de
Kai Willner
Applied Mechanics,
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: kai.willner@fau.de
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: kai.willner@fau.de
Sandro Wartzack
Engineering Design,
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: wartzack@mfk.fau.de
Friedrich-Alexander-University
Erlangen-Nürnberg,
Erlangen 91058, Germany
e-mail: wartzack@mfk.fau.de
Manuscript received March 29, 2018; final manuscript received July 11, 2018; published online August 14, 2018. Assoc. Editor: Siu-Kui Au.
ASME J. Risk Uncertainty Part B. Mar 2019, 5(1): 011008 (7 pages)
Published Online: August 14, 2018
Article history
Received:
March 29, 2018
Revised:
July 11, 2018
Citation
Oberleiter, T., Heling, B., Schleich, B., Willner, K., and Wartzack, S. (August 14, 2018). "Fuzzy Sensitivity Analysis in the Context of Dimensional Management." ASME. ASME J. Risk Uncertainty Part B. March 2019; 5(1): 011008. https://doi.org/10.1115/1.4040919
Download citation file:
Get Email Alerts
Cited By
A Set of Estimation and Decision Preference Experiments for Exploring Risk Assessment Biases in Engineering Students
ASME J. Risk Uncertainty Part B
The Study of Artificial Intelligent in Risk-Based Inspection Assessment and Screening: A Study Case of ILI Inspection
ASME J. Risk Uncertainty Part B
Rolling Bearing Damage Evaluation by the Dynamic Process From Self-Induced Resonance to System Resonance of a Duffing System
ASME J. Risk Uncertainty Part B (March 2023)
Related Articles
On the Selection of Sensitivity Analysis Methods in the Context of Tolerance Management
J. Verif. Valid. Uncert (March,2019)
Semantic Tolerance Modeling With Generalized Intervals
J. Mech. Des (August,2008)
Computer Modeling of Geometric Variations in Mechanical Parts and Assemblies
J. Comput. Inf. Sci. Eng (March,2003)
Assessing Circularity in Three Dimensions
J. Manuf. Sci. Eng (February,2001)
Articles from Part A: Civil Engineering
Tolerance Analysis of a Deformable Component Using the Probabilistic Approach and Kriging-Based Surrogate Models
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering (September,2018)
Methodology for Global Sensitivity Analysis of Flexible Pavements in a Bayesian Back-Analysis Framework
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering (December,2016)
Sampling-Based Reliability Sensitivity Analysis Using Direct Differentiation
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering (June,2020)
Infrastructure Project Investment Decision Timing Using a Real Options Analysis Framework with Rainbow Option
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering (September,2020)
Related Proceedings Papers
Related Chapters
Personal Preassessment
Study Guide for Certification of Geometric Dimensioning and Tolerancing Professionals: Based on the ASME Y14.5.2-2000 and ASME Y14.5M-1994 Standards
Aircraft Winglet Assembly Tolerance Analysis and Scheme Comparison
International Conference on Control Engineering and Mechanical Design (CEMD 2017)
Assembly Modeling for Tolerance Analysis
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)