Estimation of the Rotational Terms of the Dynamic Response Matrix
The dynamic response of a structure can be described by both its translational and rotational receptances. The latter ones are frequently not considered because of the difficulties in applying a pure moment excitation or in measuring rotations. However, in general, this implies a reduction up to 75%...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2004/780837 |
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| author | D. Montalvão A.M.R. Ribeiro N.M.M. Maia J.M.M. Silva |
| author_facet | D. Montalvão A.M.R. Ribeiro N.M.M. Maia J.M.M. Silva |
| author_sort | D. Montalvão |
| collection | DOAJ |
| description | The dynamic response of a structure can be described by both its translational and rotational receptances. The latter ones are frequently not considered because of the difficulties in applying a pure moment excitation or in measuring rotations. However, in general, this implies a reduction up to 75% of the complete model. On the other hand, if a modification includes a rotational inertia, the rotational receptances of the unmodified system are needed. In one method, more commonly found in the literature, a so called T-block is attached to the structure. Then, a force, applied to an arm of the T-block, generates a moment together with a force at the connection point. The T-block also allows for angular displacement measurements. Nevertheless, the results are often not quite satisfactory. In this work, an alternative method based upon coupling techniques is developed, in which rotational receptances are estimated without the need of applying a moment excitation. This is accomplished by introducing a rotational inertia modification when rotating the T-block. The force is then applied in its centroid. Several numerical and experimental examples are discussed so that the methodology can be clearly described. The advantages and limitations are identified within the practical application of the method. |
| format | Article |
| id | doaj-art-1fc1262d6d1d4af589d101e044e48589 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-1fc1262d6d1d4af589d101e044e485892025-02-03T01:10:22ZengWileyShock and Vibration1070-96221875-92032004-01-01113-433335010.1155/2004/780837Estimation of the Rotational Terms of the Dynamic Response MatrixD. Montalvão0A.M.R. Ribeiro1N.M.M. Maia2J.M.M. Silva3Department of Mechanical Engineering, Escola Superior de Tecnologia, Polytechnic Institute of Setúbal Campus do IPS, Estefanilha, 2910-761 Setúbal, PortugalDepartment of Mechanical Engineering, Instituto Superior Técnico, Technical University of Lisbon Av. Rovisco Pais, 1049-001 Lisboa, PortugalDepartment of Mechanical Engineering, Instituto Superior Técnico, Technical University of Lisbon Av. Rovisco Pais, 1049-001 Lisboa, PortugalDepartment of Mechanical Engineering, Instituto Superior Técnico, Technical University of Lisbon Av. Rovisco Pais, 1049-001 Lisboa, PortugalThe dynamic response of a structure can be described by both its translational and rotational receptances. The latter ones are frequently not considered because of the difficulties in applying a pure moment excitation or in measuring rotations. However, in general, this implies a reduction up to 75% of the complete model. On the other hand, if a modification includes a rotational inertia, the rotational receptances of the unmodified system are needed. In one method, more commonly found in the literature, a so called T-block is attached to the structure. Then, a force, applied to an arm of the T-block, generates a moment together with a force at the connection point. The T-block also allows for angular displacement measurements. Nevertheless, the results are often not quite satisfactory. In this work, an alternative method based upon coupling techniques is developed, in which rotational receptances are estimated without the need of applying a moment excitation. This is accomplished by introducing a rotational inertia modification when rotating the T-block. The force is then applied in its centroid. Several numerical and experimental examples are discussed so that the methodology can be clearly described. The advantages and limitations are identified within the practical application of the method.http://dx.doi.org/10.1155/2004/780837 |
| spellingShingle | D. Montalvão A.M.R. Ribeiro N.M.M. Maia J.M.M. Silva Estimation of the Rotational Terms of the Dynamic Response Matrix Shock and Vibration |
| title | Estimation of the Rotational Terms of the Dynamic Response Matrix |
| title_full | Estimation of the Rotational Terms of the Dynamic Response Matrix |
| title_fullStr | Estimation of the Rotational Terms of the Dynamic Response Matrix |
| title_full_unstemmed | Estimation of the Rotational Terms of the Dynamic Response Matrix |
| title_short | Estimation of the Rotational Terms of the Dynamic Response Matrix |
| title_sort | estimation of the rotational terms of the dynamic response matrix |
| url | http://dx.doi.org/10.1155/2004/780837 |
| work_keys_str_mv | AT dmontalvao estimationoftherotationaltermsofthedynamicresponsematrix AT amrribeiro estimationoftherotationaltermsofthedynamicresponsematrix AT nmmmaia estimationoftherotationaltermsofthedynamicresponsematrix AT jmmsilva estimationoftherotationaltermsofthedynamicresponsematrix |