Modal Mass and Length of Mode Shapes in Structural Dynamics

M. Aenlle*, Martin Juul, Rune Brincker

*Corresponding author for this work

    Research output: Contribution to journalJournal articleResearchpeer-review

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    Abstract

    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.
    Original languageEnglish
    Article number864876
    JournalShock and Vibration
    Volume2020
    Number of pages16
    ISSN1070-9622
    DOIs
    Publication statusPublished - 2020

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