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Experimental Modal Analysis and Operational Deflection Shape Analysis of a Cantilever Plate in a Wind Tunnel with Finite Element Model Verification

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Abstract

This work explores the response of a cantilever plate attached to a cylinder in a wind tunnel under an impact excitation. A detailed computer-aided design (CAD) model and the finite element analysis (FEA) modal simulation of the experimental setup are introduced. Two experimental techniques are thoroughly discussed: an accelerometer-based experimental modal analysis (EMA) method, and a non-contact, full-field, high-speed digital image correlation (DIC)-based operational deflection shape (ODS) analysis method. The experimental and FEA results of the first seven natural frequencies, mode shapes, and ODSs of the cantilever plate are presented and compared. The percent differences between the EMA and FEA natural frequency results are less than 4.8%, and the modal assurance criterion (MAC) values between the EMA and FEA mode shapes are at least 0.845. The percent differences between the ODS analysis and FEA natural frequency results are less than 3.4%, while the MAC values between the ODS analysis ODSs and FEA mode shapes are at least 0.728. The percent differences between the EMA and ODS analysis natural frequency results are less than 3.5%, and the MAC values between the EMA mode shapes and ODS analysis ODSs are at least 0.505. There are two sets of two different mode shapes and ODSs with relatively high correlation. One set is a set of two closely spaced modes and ODSs approximately 20 Hz apart with obvious similarities in shape. The other set is a set of two modes and ODSs approximately 100 Hz apart that share less obvious similarities in shape.

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  • 02 December 2023

    The SEM member information has been updated in the article.

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Acknowledgements

The authors would like to thank the National Science Foundation for their support under grant numbers 1763024 and 2117732, the latter of which allowed the authors to purchase a high-speed DIC system. They would also like to thank Frank Poradek, Chris Sensor, and Peter Schaldenbrand at Siemens for their technical support with the LMS International SCADAS III and Testlab 18.2 software. The authors would like to thank Alistair Tofts and Micah Simonsen at Correlated Solutions, Inc. for their training and technical assistance with high-speed DIC testing. The authors would also like to thank Northrop Grumman Corporation for allowing them to use the Siemens NX CAD software for this research.

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  1. Department of Mechanical Engineering, University of Maryland, Baltimore County, 1000 Hilltop Circle, Baltimore, MD, 21250, USA

    D. T. Will & W. D. Zhu

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  1. D. T. Will
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  2. W. D. Zhu
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Contributions

All authors contributed to the study conception and design. Project administration, funding acquisition, provision of resources, and supervision were performed by Weidong Zhu. Material preparation, data collection, and analysis were performed by David T. Will. The first draft of the manuscript was written by David T. Will and it was revised by Weidong Zhu. All authors read and approved the final manuscript.

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Correspondence to W. D. Zhu.

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D. T. Will and W. D. Zhu are members of SEM.

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Will, D.T., Zhu, W.D. Experimental Modal Analysis and Operational Deflection Shape Analysis of a Cantilever Plate in a Wind Tunnel with Finite Element Model Verification. Exp Tech (2023). https://doi.org/10.1007/s40799-023-00682-w

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