One-Step FE Model Updating Using Local Correspondence and Mode Shape Orthogonality
In this paper, it is described how the matrix mixing model updating technique can be combined with the local correspondence (LC) mode shape expansion algorithm, to give a new finite element (FE) model updating method. The matrix mixing method uses that the inverse mass and stiffness matrices can be...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/1362954 |
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| author | Martin Ø. Ø. Jull Sandro D. R. Amador Anders Skafte Jannick B. Hansen Manuel L. Aenlle Rune Brincker |
| author_facet | Martin Ø. Ø. Jull Sandro D. R. Amador Anders Skafte Jannick B. Hansen Manuel L. Aenlle Rune Brincker |
| author_sort | Martin Ø. Ø. Jull |
| collection | DOAJ |
| description | In this paper, it is described how the matrix mixing model updating technique can be combined with the local correspondence (LC) mode shape expansion algorithm, to give a new finite element (FE) model updating method. The matrix mixing method uses that the inverse mass and stiffness matrices can be expressed as a linear combination of outer products of FE mode shape vectors, where the low-frequency part of these sums are substituted with expanded test modes. The approach is meant to update FE models in one-step and is exact, except for the following two approximations: the mode shape smoothing and the mass scaling of the expanded experimental mode shapes. A simulation study illustrates the errors from the two approximations and shows the ability of the technique to improve the modal assurance criterion (MAC) values so that they get very close to unity. Finally, the performance of the proposed updating method is assessed by means of an application example in which the FE model is updated based on the test modes of a real structure. |
| format | Article |
| id | doaj-art-e7b157b57d06433aac947e7d70e234eb |
| institution | OA Journals |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-e7b157b57d06433aac947e7d70e234eb2025-08-20T02:22:15ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/13629541362954One-Step FE Model Updating Using Local Correspondence and Mode Shape OrthogonalityMartin Ø. Ø. Jull0Sandro D. R. Amador1Anders Skafte2Jannick B. Hansen3Manuel L. Aenlle4Rune Brincker5Brincker and Georgakis ApS, Department of Engineering, Inge Lehmanns Gade 10, 8000 Aarhus, DenmarkTechnical University of Denmark, Department of Civil Engineering, Brovej, Building 118, DK-2800 Kongens Lyngby, DenmarkAarhus University School of Engineering, Department of Engineering, Inge Lehmanns Gade 10, 8000 Aarhus, DenmarkAarhus University School of Engineering, Department of Engineering, Inge Lehmanns Gade 10, 8000 Aarhus, DenmarkUniversity of Oviedo, Department of Construction and Manufacturing Engineering, C/ Pedro Puig Adam, s/n, 33204 Gijón, SpainTechnical University of Denmark, Department of Civil Engineering, Brovej, Building 118, DK-2800 Kongens Lyngby, DenmarkIn this paper, it is described how the matrix mixing model updating technique can be combined with the local correspondence (LC) mode shape expansion algorithm, to give a new finite element (FE) model updating method. The matrix mixing method uses that the inverse mass and stiffness matrices can be expressed as a linear combination of outer products of FE mode shape vectors, where the low-frequency part of these sums are substituted with expanded test modes. The approach is meant to update FE models in one-step and is exact, except for the following two approximations: the mode shape smoothing and the mass scaling of the expanded experimental mode shapes. A simulation study illustrates the errors from the two approximations and shows the ability of the technique to improve the modal assurance criterion (MAC) values so that they get very close to unity. Finally, the performance of the proposed updating method is assessed by means of an application example in which the FE model is updated based on the test modes of a real structure.http://dx.doi.org/10.1155/2019/1362954 |
| spellingShingle | Martin Ø. Ø. Jull Sandro D. R. Amador Anders Skafte Jannick B. Hansen Manuel L. Aenlle Rune Brincker One-Step FE Model Updating Using Local Correspondence and Mode Shape Orthogonality Shock and Vibration |
| title | One-Step FE Model Updating Using Local Correspondence and Mode Shape Orthogonality |
| title_full | One-Step FE Model Updating Using Local Correspondence and Mode Shape Orthogonality |
| title_fullStr | One-Step FE Model Updating Using Local Correspondence and Mode Shape Orthogonality |
| title_full_unstemmed | One-Step FE Model Updating Using Local Correspondence and Mode Shape Orthogonality |
| title_short | One-Step FE Model Updating Using Local Correspondence and Mode Shape Orthogonality |
| title_sort | one step fe model updating using local correspondence and mode shape orthogonality |
| url | http://dx.doi.org/10.1155/2019/1362954 |
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