Frequency Response Analysis of Perforated Shells with Uncertain Materials and Damage
1
Department of Mathematics and Systems Analysis, Aalto University, Otakaari 1, FI-00076 Aalto, Finland
2
Lappeenranta-Lahti University of Technology, School of Engineering Science, P.O. Box 20, FI-53851 Lappeenranta, Finland
*
Author to whom correspondence should be addressed.
Appl. Sci. 2019, 9(24), 5299; https://doi.org/10.3390/app9245299
Received: 31 October 2019 / Revised: 25 November 2019 / Accepted: 30 November 2019 / Published: 5 December 2019
(This article belongs to the Special Issue Vibration-Based Structural Health Monitoring)
In this paper, we give an overview of the issues one must consider when designing methods for vibration based health monitoring systems for perforated thin shells especially in relation to frequency response analysis. In particular, we allow either the material parameters or the structure or both to be random. The numerical experiments are computed using the standard high order finite element method with stochastic collocation for the cases with random material and Monte Carlo for those with damaged or random structures. The results display a wide range of responses over the experimental configurations. In perforated shell structures, the internal boundary layers can play an important role especially when damage is allowed within the penetration patterns. The computational methodology advocated here can be used to build statistical databases that are necessary for development of probabilistic damage identification methods.
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Keywords:
frequency response; eigenproblem; perforated shells; hp-version; uncertainty quantification
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MDPI and ACS Style
Hakula, H.; Laaksonen, M. Frequency Response Analysis of Perforated Shells with Uncertain Materials and Damage. Appl. Sci. 2019, 9, 5299. https://doi.org/10.3390/app9245299
AMA Style
Hakula H, Laaksonen M. Frequency Response Analysis of Perforated Shells with Uncertain Materials and Damage. Applied Sciences. 2019; 9(24):5299. https://doi.org/10.3390/app9245299
Chicago/Turabian StyleHakula, Harri; Laaksonen, Mikael. 2019. "Frequency Response Analysis of Perforated Shells with Uncertain Materials and Damage" Appl. Sci. 9, no. 24: 5299. https://doi.org/10.3390/app9245299
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