Corrigendum to “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 used to normalize the mode shapes, and its magnitude depends on the number of degrees of freedom (DOFs) used to discretize the mod...

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Main Authors: M. Aenlle, Martin Juul, R. Brincker
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2021/9821852
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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 used to normalize the mode shapes, and its magnitude depends on the number of degrees of freedom (DOFs) 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.
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spelling doaj-art-2cbd682316104dceb276aa466de2fad02025-08-20T03:55:12ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/98218529821852Corrigendum to “Modal Mass and Length of Mode Shapes in Structural Dynamics”M. 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 used to normalize the mode shapes, and its magnitude depends on the number of degrees of freedom (DOFs) 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/10.1155/2021/9821852
spellingShingle M. Aenlle
Martin Juul
R. Brincker
Corrigendum to “Modal Mass and Length of Mode Shapes in Structural Dynamics”
Shock and Vibration
title Corrigendum to “Modal Mass and Length of Mode Shapes in Structural Dynamics”
title_full Corrigendum to “Modal Mass and Length of Mode Shapes in Structural Dynamics”
title_fullStr Corrigendum to “Modal Mass and Length of Mode Shapes in Structural Dynamics”
title_full_unstemmed Corrigendum to “Modal Mass and Length of Mode Shapes in Structural Dynamics”
title_short Corrigendum to “Modal Mass and Length of Mode Shapes in Structural Dynamics”
title_sort corrigendum to modal mass and length of mode shapes in structural dynamics
url http://dx.doi.org/10.1155/2021/9821852
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