Abstract
Power and cable carrier systems have been shown to significantly impact the dynamic behavior of lightweight space structures. The goal of this paper is to obtain an optimal cable placement geometry for cable-harnessed beam structures by minimizing the impact of added cables on the system dynamics. The cable is harnessed to the beam in a periodic pattern, which forms several repeating fundamental elements within the structure. An analytical model for the cable-harnessed beam, using an energy-equivalence homogenization method, is employed for the purpose of optimization. The natural frequencies of the cable-harnessed beam are then matched with the bare beam (when no cables attached) using an optimization algorithm to find the optimal cable placement solution for the given system parameters. Subsequently, the system parameters’ effects on the optimal solutions are investigated and discussed. Experimental modal analysis is then performed to further validate the optimal solutions found using the model. The test results further validate findings from the model, and the frequency response functions from the bare and optimally wrapped beams align really well.
References
1.
Robertson
, L.
, Lane
, S.
, Ingram
, B.
, Hansen
, E.
, Babuska
, V.
, Goodding
, J.
, Mimovich
, M.
, Mehle
, G.
, Coombs
, D.
, and Ardelean
, E.
, 2007
, “Cable Effects on the Dynamics of Large Precision Structures
,” 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
, Honolulu, HI
, Apr. 23–26
, p. 2389
.2.
Ardelean
, E.
, Goodding
, J.
, Mehle
, G.
, Coombs
, D.
, Babuska
, V.
, Robertson
, L.
, Lane
, S.
, Ingram
, B.
, and Hansen
, E.
, 2007
, “Dynamics of Cable Harnesses on Large Precision Structures
,” 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
, Honolulu, HI
, Apr. 23–26
, p. 2388
.3.
Goodding
, J.
, Griffee
, J.
, and Ardelean
, E.
, 2008
, “Parameter Estimation and Structural Dynamic Modeling of Electrical Cable Harnesses on Precision Structures
,” 49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 16th AIAA/ASME/AHS Adaptive Structures Conference, 10th AIAA Non-Deterministic Approaches Conference, 9th AIAA Gossamer Spacecraft Forum, 4th AIAA Multidisciplinary Design Optimization Specialists Conference
, Schaumburg, IL
, Apr. 7–10
, p. 1852
.4.
Goodding
, J. C.
, 2008
, “Spacecraft Electrical Cable Harness Structural Test and Analysis Methods
,” IMAC: Conference and Exposition on Structural Dynamics
, Orlando, FL
, Feb. 4–7
, pp. 437
–443
.5.
Ardelean
, E.
, Goodding
, J.
, Coombs
, D.
, Griffee
, J.
, Babuška
, V.
, Robertson
, L.
, and Lane
, S.
, 2010
, “Cable Effects Study: Tangents, Rat Holes, Dead Ends, and Valuable Results
,” 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 18th AIAA/ASME/AHS Adaptive Structures Conference 12th
, Orlando, FL
, Apr. 12–15
, p. 2806
.6.
Goodding
, J. C.
, Ardelean
, E. V.
, Babuska
, V.
, Robertson
, L. M.
, and Lane
, S. A.
, 2011
, “Experimental Techniques and Structural Parameter Estimation Studies of Spacecraft Cables
,” J. Spacecr. Rockets
, 48
(6
), pp. 942
–957
. 10.2514/1.493467.
Spak
, K.
, Agnes
, G.
, and Inman
, D.
, 2014
, “Parameters for Modeling Stranded Cables as Structural Beams
,” Exp. Mech.
, 54
(9
), pp. 1613
–1626
. 10.1007/s11340-014-9941-88.
Kauffman
, J. L.
, Lesieutre
, G. A.
, and Babuška
, V.
, 2013
, “Damping Models for Shear Beams With Applications to Spacecraft Wiring Harnesses
,” J. Spacecr. Rockets
, 51
(1
), pp. 16
–22
. 10.2514/1.A324409.
Kauffman
, J. L.
, and Lesieutre
, G. A.
, 2013
, “Damping Models for Timoshenko Beams With Applications to Spacecraft Wiring Harnesses
,” 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
, Boston, MA
, Apr. 8–11
, p. 1890
.10.
McPherson
, B. N.
, Lesieutre
, G. A.
, and Kauffman
, J. L.
, 2018
, “Investigation of Viscous Damping Terms for a Timoshenko Beam
,” 2018 AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
, Kissimmee, FL
, Jan. 8–12
, p. 0456
.11.
Spak
, K.
, Agnes
, G.
, and Inman
, D.
, 2013
, “Cable Modeling and Internal Damping Developments
,” ASME Appl. Mech. Rev.
, 65
(1
), p. 010801
. 10.1115/1.402348912.
Spak
, K.
, Agnes
, G.
, and Inman
, D.
, 2013
, “Comparison of Damping Models for Space Flight Cables,” Topics in Dynamics of Civil Structures
, F.
Catbas
, S.
Pakzad
, V.
Racic
, A.
Pavic
, and P.
Reynolds
, eds, Vol. 4
, Springer
, New York, NY, Garden Grove, CA
, pp. 183
–194
, Feb. 11–14.13.
Spak
, K. S.
, Agnes
, G. S.
, and Inman
, D.
, 2013
, “Toward Modeling of Cable-Harnessed Structures: Cable Damping Experiments
,” 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
, Boston, MA
, Apr. 8–11
, p. 1889
. 10.2514/6.2013-188914.
Babuska
, V.
, Coombs
, D. M.
, Goodding
, J. C.
, Ardelean
, E. V.
, Robertson
, L. M.
, and Lane
, S. A.
, 2010
, “Modeling and Experimental Validation of Space Structures With Wiring Harnesses
,” J. Spacecr. Rockets
, 47
(6
), pp. 1038
–1052
. 10.2514/1.4807815.
Goodding
, J.
, Babuska
, V.
, Griffith
, D. T.
, Ingram
, B.
, and Robertson
, L.
, 2007
, “Study of Free-Free Beam Structural Dynamics Perturbations Due to Mounted Cable Harnesses
,” 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
, Honolulu, HI
, Apr. 23–26
, p. 2390
, 10.2514/6.2007-239016.
Coombs
, D. M.
, Goodding
, J. C.
, Babuška
, V.
, Ardelean
, E. V.
, Robertson
, L. M.
, and Lane
, S. A.
, 2011
, “Dynamic Modeling and Experimental Validation of a Cable-Loaded Panel
,” J. Spacecr. Rockets
, 48
(6
), pp. 958
–974
. 10.2514/1.5102117.
Choi
, J.
, and Inman
, D. J.
, 2014
, “Spectrally Formulated Modeling of a Cable-Harnessed Structure
,” J. Sound Vib.
, 333
(14
), pp. 3286
–3304
. 10.1016/j.jsv.2014.03.02018.
Choi
, J.
, and Inman
, D.
, 2013
, “Development of Predictive Modeling for Cable Harnessed Structure
,” 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
, Boston, MA
, Apr. 8–11
, p. 1888
.19.
Spak
, K. S.
, Agnes
, G. S.
, and Inman
, D. J.
, 2015
, “Modeling Vibration Response and Damping of Cables and Cabled Structures
,” J. Sound Vib.
, 336
, pp. 240
–256
. 10.1016/j.jsv.2014.10.00920.
Martin
, B.
, and Salehian
, A.
, 2013
, “Cable-harnessed Space Structures: A Beam-Cable Approach
,” 24th International Association of Science and Technology for Development International Conference on Modelling and Simulation
, Banff, AB, Canada
, July 17–19
, pp. 280
–284
.21.
Martin
, B.
, and Salehian
, A.
, 2013
, “Dynamic Modelling of Cable-Harnessed Beam Structures With Periodic Wrapping Patterns: A Homogenization Approach
,” Int. J. Modell. Simul.
, 33
(4
), pp. 185
–202
. 10.2316/Journal.205.2013.4.205-598122.
Martin
, B.
, and Salehian
, A.
, 2013
, “Vibration Analysis of String-Harnessed Beam Structures: A Homogenization Approach
,” 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
, Boston, MA
, Apr. 8–11
, p. 1892
.23.
Martin
, B.
, and Salehian
, A.
, 2014, November
, “Vibration Modelling of String-Harnessed Beam Structures Using Homogenization Techniques
,” ASME 2014 International Mechanical Engineering Congress and Exposition
, American Society of Mechanical Engineers
, Montreal, QC, Canada
, Nov. 14–20
, p. V04BT04A074
.24.
Martin
, B.
, and Salehian
, A.
, 2016
, “Mass and Stiffness Effects of Harnessing Cables on Structural Dynamics: Continuum Modeling
,” AIAA J.
, 54
(9
), pp. 2881
–2904
. 10.2514/1.J05415625.
Martin
, B.
, and Salehian
, A.
, 2016
, “Homogenization Modeling of Periodically Wrapped String-Harnessed Beam Structures: Experimental Validation
,” AIAA J.
, 54
(12
), pp. 3965
–3980
. 10.2514/1.J05513426.
Martin
, B.
, and Salehian
, A.
, 2018
, “Continuum Modeling of Nonperiodic String-Harnessed Structures: Perturbation Theory and Experiments
,” AIAA J.
, 57
(4
), pp. 1736
–1751
. 10.2514/1.J05661527.
Yerrapragada
, K.
, and Salehian
, A.
, 2017
, “Coupled Axial, In Plane and Out of Plane Bending Vibrations of Cable Harnessed Space Structures
,” International Conference on Applied Mathematics, Modeling and Computational Science
, Waterloo, ON, Canada
, Aug. 20–25
, pp. 249
–257
, Springer, Cham.28.
Yerrapragada
, K.
, and Salehian
, A.
, 2018
, “Coupled Bending, Torsion and Axial Vibrations of a Cable-Harnessed Beam With Periodic Wrapping Pattern
,” ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
, American Society of Mechanical Engineers
, Quebec, Canada
, Aug. 26–29
, p. V008T10A030
.29.
Yerrapragada
, K.
, and Salehian
, A.
, 2019
, “Analytical Study of Coupling Effects for Vibrations of Cable-Harnessed Beam Structures
,” ASME J. Vib. Acoust.
, 141
(3
), p. 031001
. 10.1115/1.404204230.
Yerrapragada
, K.
, and Salehian
, A.
, 2019
, “Coupled Dynamics of Cable-Harnessed Structures: Experimental Validation
,” ASME J. Vib. Acoust.
, 141
(6
), p. 061001
. 10.1115/1.404399031.
Agrawal
, P.
, and Salehian
, A.
, 2021
, “Damping Mechanisms in Cable-Harnessed Structures for Space Applications: Analytical Modeling
,” ASME J. Vib. Acoust.
, 143
(2
), p. 021001
. https://doi.org/10.1115/1.404788132.
Agrawal
, P.
, and Salehian
, A.
, 2021
, “Damping Mechanisms in Cable-Harnessed Structures for Space Applications: Experimental Validation
,” ASME J. Vib. Acoust.
, 143
(2
), p. 024502
. https://doi.org/10.1115/1.404839133.
Agrawal
, P.
, and Salehian
, A.
, 2021
, “Vibrations Analysis of Cable-Harnessed Plates: Continuum Modeling and Experimental Validation
,” ASME J. Vib. Acoust.
(under review).34.
Salehian
, A.
, Seigler
, T. M.
, and Inman
, D. J.
, 2007
, “Dynamic Effects of a Radar Panel Mounted on a Truss Satellite
,” AIAA J
, 45
(7
), pp. 1642
–1654
. 10.2514/1.2304935.
Salehian
, A.
, and Inman
, D. J.
, 2008
, “Dynamic Analysis of a Lattice Structure by Homogenization: Experimental Validation
,” J. Sound Vib.
, 316
(1–5
), pp. 180
–197
. 10.1016/j.jsv.2008.02.03136.
Salehian
, A.
, and Inman
, D. J.
, 2010
, “Micropolar Continuous Modeling and Frequency Response Validation of a Lattice Structure
,” ASME J. Vib. Acoust.
, 132
(1
), p. 011010
. 10.1115/1.400047237.
Salehian
, A.
, and Chen
, Y.
, 2012
, “On Strain-Rate Dependence of Kinetic Energy in Homogenization Approach: Theory and Experiment
,” AIAA J.
, 50
(10
), pp. 2029
–2033
. 10.2514/1.J05101638.
Salehian
, A.
, Ibrahim
, M.
, and Seigler
, T. M.
, 2014
, “Damping in Periodic Structures: A Continuum Modeling Approach
,” AIAA J.
, 52
(3
), pp. 569
–590
. 10.2514/1.J052496Copyright © 2020 by ASME
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