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Dynamics of Civil Structures, Volume 4 pp 7–18Cite as

Cable Parameters for Homogenous Cable-Beam Models for Space Structures

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Abstract

In this paper, a method to determine the effective homogenous beam parameters for a stranded cable is presented. There is not yet a predictive model for quantifying the structural impact of cable harnesses on space flight structures, and towards this goal, the authors aim to predict cable damping and resonance behavior. Cables can be modeled as shear beams, but the shear beam model assumes a homogenous, isotropic material, which a stranded cable is not. Thus, the cable-beam model requires calculation of effectively homogenous properties, including density, area, bending stiffness, and modulus of rigidity to predict the natural frequencies of the cable. Through a combination of measurement and correction factors, upper and lower bounds for effective cable properties are calculated and shown to be effective in a cable-beam model for natural frequency prediction.

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Abbreviations

A :

Cross-sectional area

c :

Viscous damping coefficient

D :

Cable outer diameter

d :

Individual wire diameter

E :

Elastic modulus

EI :

Cable bending stiffness

F s :

Transfer function matrix for use in distributed transfer function method

G :

Shear modulus

G(s):

Hysteretic damping function

I :

Moment area of inertia

k :

Spring stiffness, varies by cable size

L :

Beam length

M, N :

Left and right boundary condition matrices for distributed transfer function method

r :

Layer diameter

Sys m :

System matrix

s :

Laplace transformed time coordinate

T :

Axial tension in cable

T m :

Transformation matrix

t :

Time coordinate

V :

Volume fraction

w :

Beam displacement as a function of time and distance

x :

Spatial coordinate; distance along the beam in the axial direction

β :

Lay angle

η :

State space vector of displacement solution and derivatives for distributed transfer function method

κ :

Shear coefficient

ν :

Poisson’s ratio

ρ :

Density

ϕ :

Angle between cable neutral axis and individual wire, as viewed from cable end

ψ :

Total beam rotation

References

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Acknowledgements

This work was supported by a NASA Office of the Chief Technologist’s Space Technology Research Fellowship. Cables for experimental validation were provided at cost by Southern California Braiding Co. The third author gratefully acknowledges the support of AFOSR Grant number FA9550-10-1-0427 monitored by Dr. David Stargel. Part of this research was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration.

Author information

Authors and Affiliations

  1. Virginia Tech, Blacksburg, VA, USA

    Kaitlin Spak

  2. Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USA

    Gregory Agnes

  3. Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA

    Daniel Inman

Authors
  1. Kaitlin Spak
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  2. Gregory Agnes
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  3. Daniel Inman
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Corresponding author

Correspondence to Kaitlin Spak .

Editor information

Editors and Affiliations

  1. Engineering Department, University of Central Florida, Orlando, Florida, USA

    Fikret Necati Catbas

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© 2014 The Society for Experimental Mechanics, Inc.

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Spak, K., Agnes, G., Inman, D. (2014). Cable Parameters for Homogenous Cable-Beam Models for Space Structures. In: Catbas, F. (eds) Dynamics of Civil Structures, Volume 4. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-04546-7_2

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  • DOI: https://doi.org/10.1007/978-3-319-04546-7_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-04545-0

  • Online ISBN: 978-3-319-04546-7

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