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Dynamic analysis and nonlinear identification of space deployable structure

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Abstract

The dynamic equivalent continuum modeling method of the mast which is based on energy equivalency principle was investigated. And three kinds of mast dynamic model were established, which were equivalent continuum model, finite element model and simulation model, respectively. The mast frequencies and mode shapes were calculated by these models and compared with each other. The error between the equivalent continuum model and the finite element model is less than 5% when the mast length is longer. Dynamic responses of the mast with different lengths are tested, the mode frequencies and mode shapes are compared with finite element model. The mode shapes match well with each other, while the frequencies tested by experiments are lower than the results of the finite element model, which reflects the joints lower the mast stiffness. The nonlinear dynamic characteristics are presented in the dynamic responses of the mast under different excitation force levels. The joint nonlinearities in the deployable mast are identified as nonlinear hysteresis contributed by the coulomb friction which soften the mast stiffness and lower the mast frequencies.

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References

  1. MORTEROLLE S, MAURIN B, QUIRANT J, DUPUY C. Numerical form-finding of geotensoid tension truss for mesh reflector [J]. Acta Astronautica 2012, 76: 154–163.

    Article  Google Scholar 

  2. MEGURO A, SHINTATE K, TSUJIHATA A. In-orbit deployment characteristics of large deployable antenna reflector onboard engineering test satellite VIII [J]. Acta Astronautica, 2009, 65(9/10): 1306–1316.

    Article  Google Scholar 

  3. CLAMPIN M. The James Web space telescope (JWST) [J]. Advances in Space Research, 2008, 41(12): 1983–1991.

    Article  Google Scholar 

  4. NOOR A K. Continuum modeling for repetitive lattice structures [J]. Applied Mechanics Reviews, 1988, 41(7): 285–297.

    Article  Google Scholar 

  5. LEE U, LEE J. Dynamic continuum modeling of truss-type space structures using spectral elements [J]. Journal of Spacecraft and Rockets, 1996, 33(3): 404–409.

    Article  Google Scholar 

  6. BURAGARDT B, CARTRAUD P. Continuum modeling of beamlike lattice trusses using averaging methods [J]. Computers & Structures, 1999, 73(1/5): 267–279.

    Article  Google Scholar 

  7. SHIN Y S, LEE I. Investigation of equivalent system modeling and dynamic characteristics using reduced models [J]. AIAA Journal, 2000, 38(1): 102–109.

    Article  MathSciNet  Google Scholar 

  8. STEPHEN N G, GHOSH S. Eigenanalysis and continuum modelling of a curved repetitive beam-like structure [J]. International Journal of Mechanical Sciences, 2005, 47(12): 1854–1873.

    Article  MATH  Google Scholar 

  9. SALEHIANA A, INMAN D J. Dynamic analysis of a lattice structure by homogenization: Experimental validation [J]. Journal of Sound and Vibration, 2008, 316(1/5): 180–197.

    Article  Google Scholar 

  10. MOROZOV E V, LOPATIN A V, NESTEROV V A. Buckling analysis and design of anisogrid composite lattice conical shells [J]. Composite Structures, 2011, 93(12): 3150–3162.

    Article  Google Scholar 

  11. NAGARAJA B P, PANDIYANA R, GHOSALB A. A constraint Jacobian based approach for static analysis of pantograph masts [J]. Computers & Structures, 2010, 88(1/2): 95–104.

    Article  Google Scholar 

  12. SHAKER J F. Static stability of a three-dimensional space truss [C]// Proceedings of the XIII Space Photovoltaic Research and Technology Conference. Washington DC: NASA CP-3278, 1994: 299–312.

    Google Scholar 

  13. BROWN C G, SARABANDI K, PIERCE L E. Validation of the shuttle radar topography mission height data [J]. IEEE Transactions on Geoscience and Remote Sensing, 2005, 43(8): 1707–1715.

    Article  Google Scholar 

  14. GUO Hong-wei, LIU Rong-qiang, DENG Zong-quan. Mechanics analysis of beam-like space deployable truss mast [J]. Advanced Materials Research, 2011, 217/218: 717–722.

    Article  Google Scholar 

  15. RENTON J D. Elastic beam and frames [M]. London: 2nd eds. Horwood Publishing, Ltd., International Publishers, England, 2002: 58–82.

    Google Scholar 

  16. JALALI H, AHMADIAN H, MOTTERSHEAD J E. Identification of nonlinear bolted lap-joint parameters by force-state mapping [J]. International Journal of Solids and Structures, 2007, 44(25/26): 8087–8105.

    Article  MATH  Google Scholar 

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Correspondence to Hong-wei Guo  (郭宏伟).

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Foundation item: Projects(50935002, 11002039) supported by the National Natural Science Foundation of China; Project(HIT.KLOF.2009062) supported by Key Laboratory Opening Funding of Aerospace Mechanism and Control Technology, China

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Guo, Hw., Liu, Rq. & Deng, Zq. Dynamic analysis and nonlinear identification of space deployable structure. J. Cent. South Univ. 20, 1204–1213 (2013). https://doi.org/10.1007/s11771-013-1603-y

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  • DOI: https://doi.org/10.1007/s11771-013-1603-y

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