TY - GEN
T1 - Uncertainty in Power Flow Due to Measurement Errors in Virtual Point Transformation for Frequency-Based Substructuring
AU - Young, Jon
AU - Myers, Kyle
N1 - Publisher Copyright:
© 2023, The Society for Experimental Mechanics, Inc.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85135093380&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85135093380&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-04094-8_1
DO - 10.1007/978-3-031-04094-8_1
M3 - Conference contribution
AN - SCOPUS:85135093380
SN - 9783031040931
T3 - Conference Proceedings of the Society for Experimental Mechanics Series
SP - 1
EP - 9
BT - Dynamic Substructures, Volume 4 - Proceedings of the 40th IMAC, A Conference and Exposition on Structural Dynamics, 2022
A2 - Allen, Matthew
A2 - D’Ambrogio, Walter
A2 - Roettgen, Dan
PB - Springer
T2 - 40th IMAC, A Conference and Exposition on Structural Dynamics, 2022
Y2 - 7 February 2022 through 10 February 2022
ER -