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Structural Dynamics of a Frame Including Axial Load Effects

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Dynamics of Civil Structures, Volume 4

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Abstract

This paper considers the free vibration of a plane, rectangular, portal frame consisting of slender members. Natural frequencies and mode shapes are influenced by the addition of mass at the corners of the frame. The members are sufficiently slender that axial effects occur, and may ultimately lead to buckling. The results from both theoretical and experimental studies are presented.

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References

  1. N.A.J. Lieven and P.D. Greening. Effect of Experimental Pre-stress and Residual Stress on Modal Behavior.Philosophical Transactions of the Royal Society of London, 359:97–111, 2001.

    MATH  Google Scholar 

  2. D.J. Mead. Free Vibrations of Self-Strained Assemblies of Beams. Journal of Sound and Vibration, 249:101–127, 2002.

    Article  Google Scholar 

  3. ANSYS, Software Package, Ver. 11.0, ANSYS, Inc. Canonsburg, PA, 2007[4] FRAME3DD, Software Package. http://frame3dd.sourceforge.net, 2009[5] W. Nowacki. Dynamics of Elastic Systems, John Wiley & Sons. Inc., 1963.

  4. J.S. Przemieniecki. Theory of Matrix Structural Analysis, McGraw-Hill, 1968.

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  5. A. Kassimali. Matrix Analysis of Structures. Brooks/Cole Publishing Company, Pacific Grove, California, 1999.

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  6. L.N. Virgin. Vibration of Axially Loaded Structures, Cambridge University Press, 2007.

    Google Scholar 

  7. ME’scopeVES, Software Package, Ver. 3.0, Vibrant Technology, Inc., Jamestown, CA, 2001

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering and Material Science, Duke University, Durham, NC, 27708, USA

    L. N. Virgin (Professor) & T. C. Lyman (Graduate Student)

Authors
  1. L. N. Virgin
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  2. T. C. Lyman
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Editor information

Editors and Affiliations

  1. The Society for Experimental Mechanics,, 7 School Street, Bethel, 06801-1405, USA

    Tom Proulx

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© 2011 Springer Science+Business Media, LLC

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Virgin, L.N., Lyman, T.C. (2011). Structural Dynamics of a Frame Including Axial Load Effects. In: Proulx, T. (eds) Dynamics of Civil Structures, Volume 4. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9831-6_14

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  • DOI: https://doi.org/10.1007/978-1-4419-9831-6_14

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-9830-9

  • Online ISBN: 978-1-4419-9831-6

  • eBook Packages: EngineeringEngineering (R0)

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