Modal Mass and Length of Mode Shapes in Structural Dynamics
The literature about the mass associated with a certain mode, usually denoted as the modal mass, is sparse. Moreover, the units of the modal mass depend on the technique which is used to normalize the mode shapes, and its magnitude depends on the number of degrees of freedom (DOFs) which is used to...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2020/8648769 |
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| author | M. Aenlle Martin Juul R. Brincker |
| author_facet | M. Aenlle Martin Juul R. Brincker |
| author_sort | M. Aenlle |
| collection | DOAJ |
| description | The literature about the mass associated with a certain mode, usually denoted as the modal mass, is sparse. Moreover, the units of the modal mass depend on the technique which is used to normalize the mode shapes, and its magnitude depends on the number of degrees of freedom (DOFs) which is used to discretize the model. This has led to a situation where the meaning of the modal mass and the length of the associated mode shape is not well understood. As a result, normally, both the modal mass and the length measure have no meaning as individual quantities but only when they are combined in the frequency response function. In this paper, the problems of defining the modal mass and mode shape length are discussed, and solutions are found to define the quantities in such a way that they have individual physical meaning and can be estimated in an objective way. |
| format | Article |
| id | doaj-art-b77866e9f5aa47f6b6862943ae96d45d |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-b77866e9f5aa47f6b6862943ae96d45d2025-02-03T01:04:22ZengWileyShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/86487698648769Modal Mass and Length of Mode Shapes in Structural DynamicsM. Aenlle0Martin Juul1R. Brincker2Department of Construction and Manufacturing Engineering, University of Oviedo, Gijón 33204, SpainJE Electronic a/s, Maserativej 3, Vejle 7100, DenmarkDepartment of Civil Engineering, Technical University of Denmark, Kongens Lyngby 2800, DenmarkThe literature about the mass associated with a certain mode, usually denoted as the modal mass, is sparse. Moreover, the units of the modal mass depend on the technique which is used to normalize the mode shapes, and its magnitude depends on the number of degrees of freedom (DOFs) which is used to discretize the model. This has led to a situation where the meaning of the modal mass and the length of the associated mode shape is not well understood. As a result, normally, both the modal mass and the length measure have no meaning as individual quantities but only when they are combined in the frequency response function. In this paper, the problems of defining the modal mass and mode shape length are discussed, and solutions are found to define the quantities in such a way that they have individual physical meaning and can be estimated in an objective way.http://dx.doi.org/10.1155/2020/8648769 |
| spellingShingle | M. Aenlle Martin Juul R. Brincker Modal Mass and Length of Mode Shapes in Structural Dynamics Shock and Vibration |
| title | Modal Mass and Length of Mode Shapes in Structural Dynamics |
| title_full | Modal Mass and Length of Mode Shapes in Structural Dynamics |
| title_fullStr | Modal Mass and Length of Mode Shapes in Structural Dynamics |
| title_full_unstemmed | Modal Mass and Length of Mode Shapes in Structural Dynamics |
| title_short | Modal Mass and Length of Mode Shapes in Structural Dynamics |
| title_sort | modal mass and length of mode shapes in structural dynamics |
| url | http://dx.doi.org/10.1155/2020/8648769 |
| work_keys_str_mv | AT maenlle modalmassandlengthofmodeshapesinstructuraldynamics AT martinjuul modalmassandlengthofmodeshapesinstructuraldynamics AT rbrincker modalmassandlengthofmodeshapesinstructuraldynamics |