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A Novel Method to Correlate a Rocket Launcher Finite Element Model Using Experimental Modal Test Measurements and Identification Algorithms

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Shock & Vibration, Aircraft/Aerospace, Energy Harvesting, Acoustics & Optics, Volume 9

Abstract

The structural dynamics of a launcher system used to guide the initial trajectory of target test missiles is considered. Launcher induced body rates alter the trajectories of target vehicles at egress which can detrimentally affect the successful execution of flight test missions. As a result, flight mission analysts must have the capability to accurately reproduce the dynamic response of the launcher system to evaluate its effect on launch vehicle egress. Accurately reproducing this response requires a high fidelity finite element model that is correlated to modal survey test data. An experimental modal survey of a modified Nike-Hercules launch system is conducted and modal parameters are determined using conventional and output-only methodologies. A model correlation procedure is proposed and utilized that incorporates these experimentally determined modal parameters in conjunction with a set of correlation criteria to improve the accuracy of a high-fidelity launcher finite element model. After several iterations of the model correlation procedure, the model is able to accurately reproduce the dominant dynamic behaviors observed in the modal survey tests, especially at the key location of the launcher tip. This approach provides a basis for future launcher simulation and modeling efforts.

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Abbreviations

DFT:

Discrete Fourier transform

ERA:

Eigensystem realization algorithm

FE:

Finite element

FRF:

Frequency response function

FRM:

Frequency response matrix

IRF:

Impulse response function

IRM:

Impulse response matrix

MAC:

Modal assurance criterion

POD:

Proper orthogonal decomposition

POM:

Proper orthogonal modes

POV:

Proper orthogonal values

References

  1. Mottershead, J.E., Friswell, M.I.: Model updating in structural dynamics: a survey. J. Sound Vib. 167(2), 347–375 (1993)

    Article  MATH  Google Scholar 

  2. Zarate, B.A., Caicedo, J.M.: Finite element model updating: multiple alternatives. Eng. Struct. 30, 3724–3730 (2008)

    Article  Google Scholar 

  3. Juang, J., Pappa, R.S.: An eigensystem realization algorithm for modal parameter identification and model reduction. AIAA J. Guid. Control Dyn. 8(5), 620–627 (1985)

    Article  MATH  Google Scholar 

  4. Maia, S.: Theoretical and Experimental Modal Analysis Research Studies Press LTD (1997)

    Google Scholar 

  5. Pappa, R.S., Elliott, K.B., Schenk, A.: Consistent-mode indicator for the eigensystem realization algorithm. J. Guid. Control Dyn. 16(5), 852–858 (1993)

    Article  MATH  Google Scholar 

  6. Pappa, R.S., James III, G.H., Zimmerman, D.C.: Autonomous modal identification of the space shuttle tail rudder. J. Spacecr. Rocket. 35(2), 163–169 (1998)

    Article  Google Scholar 

  7. Juang, J.-n., Cooper, J.E., Wright, J.R.: An eigensystem realization algorithm using data correlations (ERA/DC) for modal parameter identification. Control-Theory Adv. Tech. 4(1), 5–14 (1988)

    MathSciNet  Google Scholar 

  8. Chiang, D.-Y., Lin, C.-S.: Identification of modal parameters from ambient vibration data using eigensystem realization algorithm with correlation technique. Mech. Sci. Tech. 24(12), 2377–2382 (2010)

    Article  Google Scholar 

  9. Feeny, B.F.: On proper orthogonal co-ordinates as indicators of modal activity. J. Sound Vib. 255(5), 805–817 (2002)

    Article  Google Scholar 

  10. Feeny, B.F., Caldwell, R.A.: Reduced mass-weighted proper orthogonal decomposition of an experimental non-uniform beam. In: Proceedings of the 2010 Inverse Problems Symposium Conference, 2010

    Google Scholar 

  11. Feeny, B.F., Caldwell, R.A.: Output only modal analysis of a non-uniform beam experiment by using decomposition methods. In: ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 2011

    Google Scholar 

  12. Allemang, R.J.: The modal assurance criterion - twenty years of use and abuse. J. Sound Vib. 37, 14–21 (2003)

    Google Scholar 

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Acknowledgments

The authors would like to thank Dr. Brian Feeny for his guidance on Output Only modal identification methodologies and Mrs. Heather Borowski for her work on the launcher finite element model.

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Correspondence to Ronald N. Couch .

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Couch, R.N., Radcliffe, E.J., Caldwell, R.A. (2016). A Novel Method to Correlate a Rocket Launcher Finite Element Model Using Experimental Modal Test Measurements and Identification Algorithms. In: Brandt, A., Singhal, R. (eds) Shock & Vibration, Aircraft/Aerospace, Energy Harvesting, Acoustics & Optics, Volume 9. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-30087-0_14

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  • DOI: https://doi.org/10.1007/978-3-319-30087-0_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30086-3

  • Online ISBN: 978-3-319-30087-0

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