Cylindrical Shell with Junctions: Uncertainty Quantification of Free Vibration and Frequency Response Analysis
Numerical simulation of thin solids remains one of the challenges in computational mechanics. The 3D elasticity problems of shells of revolution are dimensionally reduced in different ways depending on the symmetries of the configurations resulting in corresponding 2D models. In this paper, we solve...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2018/5817940 |
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| _version_ | 1832565424275849216 |
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| author | Harri Hakula Vesa Kaarnioja Mikael Laaksonen |
| author_facet | Harri Hakula Vesa Kaarnioja Mikael Laaksonen |
| author_sort | Harri Hakula |
| collection | DOAJ |
| description | Numerical simulation of thin solids remains one of the challenges in computational mechanics. The 3D elasticity problems of shells of revolution are dimensionally reduced in different ways depending on the symmetries of the configurations resulting in corresponding 2D models. In this paper, we solve the multiparametric free vibration of complex shell configurations under uncertainty using stochastic collocation with the p-version of finite element method and apply the collocation approach to frequency response analysis. In numerical examples, the sources of uncertainty are related to material parameters and geometry representing manufacturing imperfections. All stochastic collocation results have been verified with Monte Carlo methods. |
| format | Article |
| id | doaj-art-158cb06b1acc4ff0a0b66b0953869bd2 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-158cb06b1acc4ff0a0b66b0953869bd22025-02-03T01:07:42ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/58179405817940Cylindrical Shell with Junctions: Uncertainty Quantification of Free Vibration and Frequency Response AnalysisHarri Hakula0Vesa Kaarnioja1Mikael Laaksonen2Aalto University, School of Science, Department of Mathematics and Systems Analysis, P.O. Box 11100, FI-00076 Aalto, FinlandAalto University, School of Science, Department of Mathematics and Systems Analysis, P.O. Box 11100, FI-00076 Aalto, FinlandAalto University, School of Science, Department of Mathematics and Systems Analysis, P.O. Box 11100, FI-00076 Aalto, FinlandNumerical simulation of thin solids remains one of the challenges in computational mechanics. The 3D elasticity problems of shells of revolution are dimensionally reduced in different ways depending on the symmetries of the configurations resulting in corresponding 2D models. In this paper, we solve the multiparametric free vibration of complex shell configurations under uncertainty using stochastic collocation with the p-version of finite element method and apply the collocation approach to frequency response analysis. In numerical examples, the sources of uncertainty are related to material parameters and geometry representing manufacturing imperfections. All stochastic collocation results have been verified with Monte Carlo methods.http://dx.doi.org/10.1155/2018/5817940 |
| spellingShingle | Harri Hakula Vesa Kaarnioja Mikael Laaksonen Cylindrical Shell with Junctions: Uncertainty Quantification of Free Vibration and Frequency Response Analysis Shock and Vibration |
| title | Cylindrical Shell with Junctions: Uncertainty Quantification of Free Vibration and Frequency Response Analysis |
| title_full | Cylindrical Shell with Junctions: Uncertainty Quantification of Free Vibration and Frequency Response Analysis |
| title_fullStr | Cylindrical Shell with Junctions: Uncertainty Quantification of Free Vibration and Frequency Response Analysis |
| title_full_unstemmed | Cylindrical Shell with Junctions: Uncertainty Quantification of Free Vibration and Frequency Response Analysis |
| title_short | Cylindrical Shell with Junctions: Uncertainty Quantification of Free Vibration and Frequency Response Analysis |
| title_sort | cylindrical shell with junctions uncertainty quantification of free vibration and frequency response analysis |
| url | http://dx.doi.org/10.1155/2018/5817940 |
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