Numerical Approach for Detecting the Resonance Effects of Drilling during Assembly of Aircraft Structures

This paper is devoted to the development of a numerical approach that allows quick detection of the conditions favorable for the beginning of noticeable vibrations during drilling. The main novelty of the proposed approach lies in taking into account the deviations of the assembled compliant parts d...

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Autores principales:	Alexey Vasiliev, Sergey Lupuleac, Julia Shinder
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	assembly simulation dynamic contact problem Guyan reduction nonstationary load drilling vibrations Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/2650fdf1f97b490c8c5c35cbec977362
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spelling	oai:doaj.org-article:2650fdf1f97b490c8c5c35cbec9773622021-11-25T18:17:18ZNumerical Approach for Detecting the Resonance Effects of Drilling during Assembly of Aircraft Structures10.3390/math92229262227-7390https://doaj.org/article/2650fdf1f97b490c8c5c35cbec9773622021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2926https://doaj.org/toc/2227-7390This paper is devoted to the development of a numerical approach that allows quick detection of the conditions favorable for the beginning of noticeable vibrations during drilling. The main novelty of the proposed approach lies in taking into account the deviations of the assembled compliant parts during non-stationary contact analysis by means of variation simulation. The approaches to stationary analysis of assembly quality are expanded and generalized for modeling such non-stationary effects as vibration and resonance. The numerical procedure is based on modeling the stress–strain state of the assembled structures by solving the corresponding transient contact problem. The use of Guyan reduction, the node-to-node contact model and the application of the generalized α method allow the reformulation of the contact problem in terms of a series of quadratic programming problems. The algorithm is thoroughly tested and validated with commercial software. The efficiency of the developed numerical procedure is illustrated by analysis of the test joints of two aircraft panels. The unsteady process of drilling the panels with periodic drilling force was simulated. The influence of deviations in the shape of the parts on the non-stationary interlayer gap was modeled by setting different initial gaps between parts. It is shown that the oscillation amplitudes of the interlayer gap depend on the initial gaps and do not correlate with the mean value of the stationary residual gap. Thus, non-stationary analysis provides new information about the quality of the assembly process, and it should be applied if the assembly process includes periodic impact on the assembled parts.Alexey VasilievSergey LupuleacJulia ShinderMDPI AGarticleassembly simulationdynamic contact problemGuyan reductionnonstationary loaddrilling vibrationsMathematicsQA1-939ENMathematics, Vol 9, Iss 2926, p 2926 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	assembly simulation dynamic contact problem Guyan reduction nonstationary load drilling vibrations Mathematics QA1-939
spellingShingle	assembly simulation dynamic contact problem Guyan reduction nonstationary load drilling vibrations Mathematics QA1-939 Alexey Vasiliev Sergey Lupuleac Julia Shinder Numerical Approach for Detecting the Resonance Effects of Drilling during Assembly of Aircraft Structures
description	This paper is devoted to the development of a numerical approach that allows quick detection of the conditions favorable for the beginning of noticeable vibrations during drilling. The main novelty of the proposed approach lies in taking into account the deviations of the assembled compliant parts during non-stationary contact analysis by means of variation simulation. The approaches to stationary analysis of assembly quality are expanded and generalized for modeling such non-stationary effects as vibration and resonance. The numerical procedure is based on modeling the stress–strain state of the assembled structures by solving the corresponding transient contact problem. The use of Guyan reduction, the node-to-node contact model and the application of the generalized α method allow the reformulation of the contact problem in terms of a series of quadratic programming problems. The algorithm is thoroughly tested and validated with commercial software. The efficiency of the developed numerical procedure is illustrated by analysis of the test joints of two aircraft panels. The unsteady process of drilling the panels with periodic drilling force was simulated. The influence of deviations in the shape of the parts on the non-stationary interlayer gap was modeled by setting different initial gaps between parts. It is shown that the oscillation amplitudes of the interlayer gap depend on the initial gaps and do not correlate with the mean value of the stationary residual gap. Thus, non-stationary analysis provides new information about the quality of the assembly process, and it should be applied if the assembly process includes periodic impact on the assembled parts.
format	article
author	Alexey Vasiliev Sergey Lupuleac Julia Shinder
author_facet	Alexey Vasiliev Sergey Lupuleac Julia Shinder
author_sort	Alexey Vasiliev
title	Numerical Approach for Detecting the Resonance Effects of Drilling during Assembly of Aircraft Structures
title_short	Numerical Approach for Detecting the Resonance Effects of Drilling during Assembly of Aircraft Structures
title_full	Numerical Approach for Detecting the Resonance Effects of Drilling during Assembly of Aircraft Structures
title_fullStr	Numerical Approach for Detecting the Resonance Effects of Drilling during Assembly of Aircraft Structures
title_full_unstemmed	Numerical Approach for Detecting the Resonance Effects of Drilling during Assembly of Aircraft Structures
title_sort	numerical approach for detecting the resonance effects of drilling during assembly of aircraft structures
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/2650fdf1f97b490c8c5c35cbec977362
work_keys_str_mv	AT alexeyvasiliev numericalapproachfordetectingtheresonanceeffectsofdrillingduringassemblyofaircraftstructures AT sergeylupuleac numericalapproachfordetectingtheresonanceeffectsofdrillingduringassemblyofaircraftstructures AT juliashinder numericalapproachfordetectingtheresonanceeffectsofdrillingduringassemblyofaircraftstructures
_version_	1718411370072899584

Numerical Approach for Detecting the Resonance Effects of Drilling during Assembly of Aircraft Structures

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