Damping Models for Shear Beams with Applications to Spacecraft Wiring Harnesses

    Authors

    J. L. Kauffman; G. A. Lesieutre;V. Babuska

    Comments

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    Abbreviated Journal Title

    J. Spacecr. Rockets

    Keywords

    TIMOSHENKO BEAM; EXPERIMENTAL VALIDATION; VIBRATION; STABILITY; SYSTEMS; Engineering, Aerospace

    Abstract

    Spacecraft wiring harnesses can fundamentally alter a spacecraft's structural dynamics, necessitating a model to predict the coupled dynamic response of the structure and attached cabling. Although a beam model including first-order transverse shear can accurately predict vibration resonance frequencies, current time domain damping models are inadequate. For example, common proportional damping models result modal damping that depends unrealistically on the frequency. Inspired by a geometric rotation-based viscous damping model that provides frequency independent modal damping in an Euler-Bernoulli formulation, a viscous damping model with terms associated with the shear and bending angles is presented. The model provides modal damping that is approximately constant in the bending-dominated regime (low mode numbers), increasing by at most 6% for a particular selection of bending and shear angle-based damping coefficients. In the shear-dominated regime (high mode numbers), damping values increase linearly with mode number and in proportion to the shear angle-based damping coefficient. A key feature of this shear beam damping model is its ready finite element implementation using only matrices commonly developed for an Euler-Bernoulli beam. Such an analysis using empirically determined damping coefficients generates damping values that agree well with existing spacecraft wiring harness cable data.

    Journal Title

    Journal of Spacecraft and Rockets

    Volume

    51

    Issue/Number

    1

    Publication Date

    1-1-2014

    Document Type

    Article

    Language

    English

    First Page

    16

    Last Page

    22

    WOS Identifier

    WOS:000337800900003

    ISSN

    0022-4650

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