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Computing Effective Mass Using the Modal Craig Bampton Framework

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Abstract

Effective mass models are a powerful framework in mechanical design and qualification. They are a specialized modal model that use a base-acceleration input to yield the response of a base-mounted structure in single-axis dynamic environments. Applications include the computation of reaction forces of each mode of the base-mounted payload, the identification of the most “important” modes for loads analysis, and many others. Originally derived from a finite element model of the structure, many experimental techniques for computing effective mass models have also been developed. This work describes the derivation of a novel technique which utilizes the Craig-Bampton Modal framework to extract an effective mass model from a modal test and provides a much simpler formulation than previous methods while maintaining the accuracy of the computed effective mass model. Analytical and experimental demonstrations are provided along with practical recommendations for successful implementation.

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Correspondence to B. R. Pacini.

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The authors declare they have no financial interests, however they do work at the same company as an editor for the Society of Experimental Mechanics’ Experimental Techniques Journal.

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B.R. Pacini and R.L. Mayes are members of SEM.

This article has been authored by an employee of National Technology & Engineering Solutions of Sandia, LLC under Contract No. DE-NA0003525 with the U.S. Department of Energy (DOE). The employee owns all right, title and interest in and to the article and is solely responsible for its contents. The United States Government retains and the publisher, by accepting the article for publication, acknowledges that the United States Government retains a non-exclusive, paid-up, irrevocable, world-wide license to publish or reproduce the published form of this article or allow others to do so, for United States Government purposes. The DOE will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan https://www.energy.gov/downloads/doe-public-access-plan. This paper describes objective technical results and analysis. Any subjective views or opinions that might be expressed in the paper do not necessarily represent the views of the U.S. Department of Energy or the United States Government.

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Pacini, B.R., Mayes, R.L. Computing Effective Mass Using the Modal Craig Bampton Framework. Exp Tech (2024). https://doi.org/10.1007/s40799-024-00699-9

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