Damping models for shear beams with applications to spacecraft wiring harnesses

Jeffrey L. Kauffman, George A. Lesieutre, Vít Babuška

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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. While a beam model including first-order transverse shear can accurately predict vibration resonance frequencies, current time-domain damping models are inadequate. For example, the common proportional damping model results in 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 time-domain viscous damping model with terms associated with the shear and bending angles is presented. This model demonstrates a much weaker dependence on frequency than proportional damping models. Specifically, 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 are proportional to the shear angle-based damping coefficient. A key feature of this model is its ready implementation in a finite element analysis, requiring only the typical mass, stiffness, and geometric stiffness (associated with axial loads) matrices as developed for an Euler-Bernoulli beam. Such an analysis using empirically determined damping coefficients generates damping values that agree well with existing spacecraft cable bundle data.

Original languageEnglish (US)
Title of host publication53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
StatePublished - Dec 1 2012
Event53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference - Honolulu, HI, United States
Duration: Apr 23 2012Apr 26 2012

Publication series

NameCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
ISSN (Print)0273-4508

Other

Other53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
CountryUnited States
CityHonolulu, HI
Period4/23/124/26/12

All Science Journal Classification (ASJC) codes

  • Architecture
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering

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  • Cite this

    Kauffman, J. L., Lesieutre, G. A., & Babuška, V. (2012). Damping models for shear beams with applications to spacecraft wiring harnesses. In 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference [AIAA 2012-1641] (Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference).