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Modelling of spatial variations in vibration analysis with application to an automotive windshield

Modelling of spatial variations in vibration analysis with application to an automotive windshield
Modelling of spatial variations in vibration analysis with application to an automotive windshield
This paper concerns the modelling of spatial variations using random fields and the implementation within existing finite element models. In addition, the application of the line-sampling technique to estimate the distribution and statistics of eigenfrequencies is presented, which can drastically reduce numerical costs. In particular, the vibration analysis of an automotive windshield with uncertain parameters is considered. The analysis is based on a finite element model of the baseline system and information about the related parameter uncertainties. The variation in the frequency response of the windshield is investigated for the cases of a free and constrained configuration of the windshield. Spatial variations are considered for the thicknesses of the five layers of the laminate windshield and for the properties of the glue-joint by which the windshield is mounted on the car. First, the theoretical background of random fields is reviewed and the implementation within a standard finite element code is discussed. A Monte Carlo simulation approach is used to estimate the response statistics. Next, a case study is performed to investigate the influence of the random field parameters. Finally, the application of the line-sampling technique to estimate the distribution and statistics of eigenfrequencies is presented.
finite element vibration analysis, spatial variations, random fields, uncertainty, monte-carlo sampling
0168-874X
55-62
Hinke, L.
1b075936-d622-409d-a3c0-f15473d06dba
Pichler, L.
b44c26a0-bd8a-49a7-a20a-0af7b8e12ab6
Pradlwarter, H.J.
8ad25a71-7eca-412b-905d-3c15479498a6
Mace, B.R.
cfb883c3-2211-4f3a-b7f3-d5beb9baaefe
Waters, T.P.
348d22f5-dba1-4384-87ac-04fe5d603c2f
Hinke, L.
1b075936-d622-409d-a3c0-f15473d06dba
Pichler, L.
b44c26a0-bd8a-49a7-a20a-0af7b8e12ab6
Pradlwarter, H.J.
8ad25a71-7eca-412b-905d-3c15479498a6
Mace, B.R.
cfb883c3-2211-4f3a-b7f3-d5beb9baaefe
Waters, T.P.
348d22f5-dba1-4384-87ac-04fe5d603c2f

Hinke, L., Pichler, L., Pradlwarter, H.J., Mace, B.R. and Waters, T.P. (2011) Modelling of spatial variations in vibration analysis with application to an automotive windshield. [in special issue: Uncertainty in Structural Dynamics] Finite Elements in Analysis and Design, 47 (1), 55-62. (doi:10.1016/j.finel.2010.07.013).

Record type: Article

Abstract

This paper concerns the modelling of spatial variations using random fields and the implementation within existing finite element models. In addition, the application of the line-sampling technique to estimate the distribution and statistics of eigenfrequencies is presented, which can drastically reduce numerical costs. In particular, the vibration analysis of an automotive windshield with uncertain parameters is considered. The analysis is based on a finite element model of the baseline system and information about the related parameter uncertainties. The variation in the frequency response of the windshield is investigated for the cases of a free and constrained configuration of the windshield. Spatial variations are considered for the thicknesses of the five layers of the laminate windshield and for the properties of the glue-joint by which the windshield is mounted on the car. First, the theoretical background of random fields is reviewed and the implementation within a standard finite element code is discussed. A Monte Carlo simulation approach is used to estimate the response statistics. Next, a case study is performed to investigate the influence of the random field parameters. Finally, the application of the line-sampling technique to estimate the distribution and statistics of eigenfrequencies is presented.

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More information

Published date: January 2011
Keywords: finite element vibration analysis, spatial variations, random fields, uncertainty, monte-carlo sampling
Organisations: Dynamics Group

Identifiers

Local EPrints ID: 202355
URI: http://eprints.soton.ac.uk/id/eprint/202355
ISSN: 0168-874X
PURE UUID: 671ce49e-d8aa-47e1-a418-dec3749aeab0
ORCID for B.R. Mace: ORCID iD orcid.org/0000-0003-3312-4918

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Date deposited: 07 Nov 2011 10:05
Last modified: 14 Mar 2024 04:24

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Contributors

Author: L. Hinke
Author: L. Pichler
Author: H.J. Pradlwarter
Author: B.R. Mace ORCID iD
Author: T.P. Waters

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