Measuring Strain Response Mode Shapes with a Continuous-Scan LDV
A continuous-scan LDV is a convenient means for measuring the response mode shape (ODS) of a vibrating surface, particularly in view of the fact that the ODS is automatically derived as a spatial polynomial series. Second spatial derivatives of the deflection equations are therefore easily derived,...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2002/543754 |
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| author | Anthony B. Stanbridge Milena Martarelli David J. Ewins |
| author_facet | Anthony B. Stanbridge Milena Martarelli David J. Ewins |
| author_sort | Anthony B. Stanbridge |
| collection | DOAJ |
| description | A continuous-scan LDV is a convenient means for measuring the response mode shape (ODS) of a vibrating surface, particularly in view of the fact that the ODS is automatically derived as a spatial polynomial series. Second spatial derivatives of the deflection equations are therefore easily derived, and these should, in principle, give curvature equations from which, for a beam or plate of known cross-section, stresses and strains can be obtained directly. Unfortunately, the stress and strain distributions depend critically on higher terms in the original ODS series, which are not accurately measured. This problem can be avoided by a method described here, which enables accurate stress and strain distributions to be derived, from a straight-line LDV scan along a uniform beam, using only five terms in the mode-shape polynomial series. A similar technique could be applied to uniform plates but the analysis and the governing equations are rather more complicated. |
| format | Article |
| id | doaj-art-d88eb1b568714e0aaf454fa2b67bec6a |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-d88eb1b568714e0aaf454fa2b67bec6a2025-02-03T06:44:35ZengWileyShock and Vibration1070-96221875-92032002-01-0191-2192710.1155/2002/543754Measuring Strain Response Mode Shapes with a Continuous-Scan LDVAnthony B. Stanbridge0Milena Martarelli1David J. Ewins2Department of Mechanical Engineering, Imperial College, London, UKDepartment of Mechanical Engineering, Imperial College, London, UKDepartment of Mechanical Engineering, Imperial College, London, UKA continuous-scan LDV is a convenient means for measuring the response mode shape (ODS) of a vibrating surface, particularly in view of the fact that the ODS is automatically derived as a spatial polynomial series. Second spatial derivatives of the deflection equations are therefore easily derived, and these should, in principle, give curvature equations from which, for a beam or plate of known cross-section, stresses and strains can be obtained directly. Unfortunately, the stress and strain distributions depend critically on higher terms in the original ODS series, which are not accurately measured. This problem can be avoided by a method described here, which enables accurate stress and strain distributions to be derived, from a straight-line LDV scan along a uniform beam, using only five terms in the mode-shape polynomial series. A similar technique could be applied to uniform plates but the analysis and the governing equations are rather more complicated.http://dx.doi.org/10.1155/2002/543754 |
| spellingShingle | Anthony B. Stanbridge Milena Martarelli David J. Ewins Measuring Strain Response Mode Shapes with a Continuous-Scan LDV Shock and Vibration |
| title | Measuring Strain Response Mode Shapes with a Continuous-Scan LDV |
| title_full | Measuring Strain Response Mode Shapes with a Continuous-Scan LDV |
| title_fullStr | Measuring Strain Response Mode Shapes with a Continuous-Scan LDV |
| title_full_unstemmed | Measuring Strain Response Mode Shapes with a Continuous-Scan LDV |
| title_short | Measuring Strain Response Mode Shapes with a Continuous-Scan LDV |
| title_sort | measuring strain response mode shapes with a continuous scan ldv |
| url | http://dx.doi.org/10.1155/2002/543754 |
| work_keys_str_mv | AT anthonybstanbridge measuringstrainresponsemodeshapeswithacontinuousscanldv AT milenamartarelli measuringstrainresponsemodeshapeswithacontinuousscanldv AT davidjewins measuringstrainresponsemodeshapeswithacontinuousscanldv |