Covariance modeling method for use in compliant assembly tolerance analysis

Michael R. Tonks; Ken W. Chase

doi:10.1115/detc2004-57066

Covariance modeling method for use in compliant assembly tolerance analysis

Michael R. Tonks, Ken W. Chase

Materials Research Institute (MRI)

Research output: Contribution to conference › Paper › peer-review

10 Scopus citations

Abstract

In assemblies involving compliant parts, springback and residual stress are caused when geometric variation in the assembly requires the parts be deformed to allow for assembly. A method is needed to predict the deformation due to the geometric variations. Researchers in the areas of Statistical Tolerance Analysis and Stochastic Finite Element Analysis have developed methods to account for statistical variation of parameters in a finite element model. A new statistical method uses an orthogonal polynomial-based covariance model to account for surface variation of the compliant parts over a wide range of wavelengths. The method has been demonstrated to match the accuracy of Monte Carlo simulation with a single calculation, and accurately model covariance data taken from real parts.

Original language	English (US)
Pages	49-55
Number of pages	7
DOIs	https://doi.org/10.1115/detc2004-57066
State	Published - 2004
Event	2004 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Salt Lake City, UT, United States Duration: Sep 28 2004 → Oct 2 2004

Other

Other	2004 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Country/Territory	United States
City	Salt Lake City, UT
Period	9/28/04 → 10/2/04

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Mechanical Engineering
Computer Science Applications
Computer Graphics and Computer-Aided Design

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10.1115/detc2004-57066

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abstract = "In assemblies involving compliant parts, springback and residual stress are caused when geometric variation in the assembly requires the parts be deformed to allow for assembly. A method is needed to predict the deformation due to the geometric variations. Researchers in the areas of Statistical Tolerance Analysis and Stochastic Finite Element Analysis have developed methods to account for statistical variation of parameters in a finite element model. A new statistical method uses an orthogonal polynomial-based covariance model to account for surface variation of the compliant parts over a wide range of wavelengths. The method has been demonstrated to match the accuracy of Monte Carlo simulation with a single calculation, and accurately model covariance data taken from real parts.",

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doi = "10.1115/detc2004-57066",

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AU - Chase, Ken W.

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AB - In assemblies involving compliant parts, springback and residual stress are caused when geometric variation in the assembly requires the parts be deformed to allow for assembly. A method is needed to predict the deformation due to the geometric variations. Researchers in the areas of Statistical Tolerance Analysis and Stochastic Finite Element Analysis have developed methods to account for statistical variation of parameters in a finite element model. A new statistical method uses an orthogonal polynomial-based covariance model to account for surface variation of the compliant parts over a wide range of wavelengths. The method has been demonstrated to match the accuracy of Monte Carlo simulation with a single calculation, and accurately model covariance data taken from real parts.

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T2 - 2004 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference

Y2 - 28 September 2004 through 2 October 2004

ER -

Covariance modeling method for use in compliant assembly tolerance analysis

Abstract

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