Title

Damping Models for Shear Beams with Applications to Spacecraft Wiring Harnesses

Authors

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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