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Structural Dynamic Modification to Predict Modal Parameters of Multiple Beams

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Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 8

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Abstract

An Impulse Response Function (IRF) matrix for a cantilever beam with No response points and Ni excitation points is obtained from simulated data. The Unified Matrix Polynomial Approach (UMPA) is employed to estimate its modal parameters. The scaled mode shapes to a unity Modal-A matrix are calculated and used to formulate a modal model for the beam. This model is used in a Structural Dynamics Modification (SDM) technique combined with the Component Mode Synthesis (CMS) to predict the modal parameters of connected beams with additional lumped masses attached to them, and with additional linear springs and dampers between the beams and between each beam and the ground. On the other hand, the impedance method is used to generate the Frequency Response Function (FRF) matrix of the two-beam system with the additional masses, springs, and dampers. The FRF matrix of the original beam, are used to synthesize the FRF matrix of the new structure. Time and frequency domain UMPA algorithms are employed to extract the modal parameters of the system. Results from both modal modeling and impedance modeling are compared with the corresponding theoretical results.

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Acknowledgement

This work has been carried out during the author’s stay at University of Cincinnati Structural Dynamics Research Lab. (UC-SDRL) while on a sabbatical leave from Jordan University of Science & Technology (JUST) The author acknowledges the financial support provided by JUST, as well as the valuable discussions with Dr. David Brown, Dr. Randal Allemang, and Dr. Allyn Phillips from UC-SDRL.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Jordan University of Science & Technology, 3030, 22110, Irbid, Jordan

    Naim Khader

Authors
  1. Naim Khader
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Correspondence to Naim Khader .

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Editors and Affiliations

  1. Università Politecnica delle Marche, Ancona, Italy

    Marco Rossi

  2. Università Politecnica delle Marche, Ancona, Italy

    Marco Sasso

  3. University of Joseph Fourier, Grenoble, France

    Nathanael Connesson

  4. Oklahoma State University, Tulsa, Oklahoma, USA

    Raman Singh

  5. Hill Engineering, LLC, Rancho Cordova, California, USA

    Adrian DeWald

  6. National Research Council Canada, Ottawa, Canada

    David Backman

  7. Cummins, Inc., Columbus, Indiana, USA

    Paul Gloeckner

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© 2014 The Society for Experimental Mechanics, Inc.

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Khader, N. (2014). Structural Dynamic Modification to Predict Modal Parameters of Multiple Beams. In: Rossi, M., et al. Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 8. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-00876-9_45

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  • DOI: https://doi.org/10.1007/978-3-319-00876-9_45

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-00875-2

  • Online ISBN: 978-3-319-00876-9

  • eBook Packages: EngineeringEngineering (R0)

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