Uncertainty in Power Flow Due to Measurement Errors in Virtual Point Transformation for Frequency-Based Substructuring

Jon Young, Kyle Myers

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Experimental substructuring by means of virtual point transformation (VPT) can be utilized to implicitly account for rotational degrees of freedom (DOFs) at the coupling boundary of a given substructure. Measured frequency response functions (FRFs) are cast onto a “virtual” node containing three translational and three rotational DOFs via a projection matrix, which is determined by geometric relations between impact and response locations on the structure. In this study, the uncertainty of power flow due to measurement errors in the projection matrix and FRFs is quantified by means of Monte-Carlo simulation. This is performed on a numerical model of two beam structures and is then compared to experimentally obtained data using an impact modal test. Upper and lower bounds on the broadband power flow are created using these data. It is shown that closely space modes lead to high variability in the calculation of power flow near resonance even for small measurement errors. Metrics for analyzing the quality of the virtual point transformation are discussed, as well. This work is beneficial to understanding how experimental errors manifest in the calculation of power flow between coupled structures.

Original languageEnglish (US)
Title of host publicationDynamic Substructures, Volume 4 - Proceedings of the 40th IMAC, A Conference and Exposition on Structural Dynamics, 2022
EditorsMatthew Allen, Walter D’Ambrogio, Dan Roettgen
PublisherSpringer
Pages1-9
Number of pages9
ISBN (Print)9783031040931
DOIs
StatePublished - 2023
Event40th IMAC, A Conference and Exposition on Structural Dynamics, 2022 - Orlando, United States
Duration: Feb 7 2022Feb 10 2022

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
ISSN (Print)2191-5644
ISSN (Electronic)2191-5652

Conference

Conference40th IMAC, A Conference and Exposition on Structural Dynamics, 2022
Country/TerritoryUnited States
CityOrlando
Period2/7/222/10/22

All Science Journal Classification (ASJC) codes

  • General Engineering
  • Computational Mechanics
  • Mechanical Engineering

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