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Coupled Axial, In Plane and Out of Plane Bending Vibrations of Cable Harnessed Space Structures

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Recent Advances in Mathematical and Statistical Methods (AMMCS 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 259))

Abstract

A distributed parameter model is presented to study the effect of a cable harness on the vibration characteristics of space structures. A cable is attached at an offset distance along the beam. Positioning the cable at an offset position induces coupling between various coordinates of motion such as the in plane bending, out of plane bending and the axial modes. The system is modeled using energy methods and the governing coupled partial differential equations of the cable harnessed beam are developed using the Extended Hamilton’s principle. The natural frequencies obtained from the coupled and decoupled partial differential equations are compared to the natural frequencies obtained from the Finite Element Analysis formulation.

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Author information

Authors and Affiliations

  1. University of Waterloo, Waterloo, ON, N2L 3G1, Canada

    Karthik Yerrapragada & Armaghan Salehian

Authors
  1. Karthik Yerrapragada
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  2. Armaghan Salehian
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Corresponding author

Correspondence to Karthik Yerrapragada .

Editor information

Editors and Affiliations

  1. Department of Mathematics & MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, ON, Canada

    D. Marc Kilgour

  2. Department of Mathematics & Statistics, University of Guelph, Guelph, ON, Canada

    Herb Kunze

  3. Department of Mathematics & MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, ON, Canada

    Roman Makarov

  4. Department of Mathematics & MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, ON, Canada

    Roderick Melnik

  5. Department of Mathematics & MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, ON, Canada

    Xu Wang

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Yerrapragada, K., Salehian, A. (2018). Coupled Axial, In Plane and Out of Plane Bending Vibrations of Cable Harnessed Space Structures. In: Kilgour, D., Kunze, H., Makarov, R., Melnik, R., Wang, X. (eds) Recent Advances in Mathematical and Statistical Methods . AMMCS 2017. Springer Proceedings in Mathematics & Statistics, vol 259. Springer, Cham. https://doi.org/10.1007/978-3-319-99719-3_23

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