DOI QR코드

DOI QR Code

Analysis of thermally induced vibration of cable-beam structures

  • Deng, Han-Qing (School of Electromechanical Engineering, Xidian University) ;
  • Li, Tuan-Jie (School of Electromechanical Engineering, Xidian University) ;
  • Xue, Bi-Jie (School of Electromechanical Engineering, Xidian University) ;
  • Wang, Zuo-Wei (School of Electromechanical Engineering, Xidian University)
  • 투고 : 2013.09.29
  • 심사 : 2014.07.03
  • 발행 : 2015.02.10

초록

Cable-beam structures characterized by variable stiffness nonlinearities are widely found in various structural engineering applications, for example in space deployable structures. Space deployable structures in orbit experience both high temperature caused by sun's radiation and low temperature by Earth's umbral shadow. The space temperature difference is above 300K at the moment of exiting or entering Earth's umbral shadow, which results in structural thermally induced vibration. To understand the thermally induced oscillations, the analytical expression of Boley parameter of cable-beam structures is firstly deduced. Then, the thermally induced vibration of cable-beam structures is analyzed using finite element method to verify the effectiveness of Boley parameter. Finally, by analyzing the obtained numerical results and the corresponding Boley parameters, it can be concluded that the derived expression of Boley parameter is valid to evaluate the occurrence conditions of thermally induced vibration of cable-beam structures and the key parameters influencing structural thermal flutter are the cable stiffness and thickness of beams.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation, Central Universities

참고문헌

  1. An, X. (2001), "Study on thermally induced disturbance of large space structures", Ph.D. Dissertation, Northwestern Polytechnical University, Xi'an, China.
  2. Boley, B.A. (1956), "Thermally induced vibrations of beams", J.e Aeronaut. Sci., 23, 179-181.
  3. Boley, B.A. (1972), "Approximate analysis of thermally induced vibrations of beams and plates", J. Appl. Mech., 39, 212-216. https://doi.org/10.1115/1.3422615
  4. Boley, B.A., Bruno, A. and Chao, C.C. (1954), Some Solution of the Timoshenko Beam Equations, Columbia University, New York, NY, USA.
  5. Cheng, L., Xue, M. and Tang, Y. (2004), "Thermal-dynamic analysis of large scale space structure by FEM", Chin. J. Appl. Mech., 21(2), 1-10.
  6. Ding, Y. and Xue, M.D. (2005), "Thermo-structural analysis of space structures using Fourier tube elements", Comput. Mech., 36(4), 289-297. https://doi.org/10.1007/s00466-005-0666-5
  7. Fujino, Y. and Warnitchai, P. (1992), "An experimental and analytical study of autoparametric resonance in a 3DOF model of cable-stayed-beam", Nonlin. Dyn., 4(2), 111-138. https://doi.org/10.1007/BF00045250
  8. Jones, J.P. (1966), "Thermoelastic vibration of a beam", J. Acoust. Soc. Am., 39(3), 542-548. https://doi.org/10.1121/1.1909926
  9. Johnston, J.D. and Thornton, E.A. (1998), "Thermally induced attitude dynamics of a spacecraft with a flexible appendage", J. Guid. Control Dyn., 21(4), 581-587. https://doi.org/10.2514/2.4297
  10. Kawamura, R., Tanigawa, Y. and Kusuki, S. (2008), "Fundamental thermo-elasticity equations for thermally induced flexural vibration problems for inhomogeneous plates and thermoelastic dynamical response to a sinusoidally varying surface temperature", J. Eng. Math., 61(2), 143-160. https://doi.org/10.1007/s10665-007-9190-2
  11. Kumar, R., Mishra, B.K. and Jain, S.C. (2008), "Thermally induced vibration control of cylindrical shell using piezoelectric sensor and actuator", J. Adv. Manufact. Technol., 38(5), 551-562. https://doi.org/10.1007/s00170-007-1076-y
  12. Li, T., Jiang, J., Deng, H., Lin, Z. and Wang Z. (2013), "Form-finding methods for deployable mesh reflector antennas", Chin. J. Aeronaut., 26(5), 1276-1282 https://doi.org/10.1016/j.cja.2013.04.062
  13. Li, T. and Ma, Y. (2011), "Robust vibration control of flexible cable-strut structure with mixed uncertainties", J. Vib. Control, 17(9), 1407-1416. https://doi.org/10.1177/1077546310381100
  14. Li, T., Wang, Z. and Ma,Y. (2013), "Distributed vibration control of tensegrity structure", J. Vib. Control, 19(5), 720-728. https://doi.org/10.1177/1077546312438427
  15. Manish, S. (2008), Finite Element Method and Computational Structural Dynamics, Indian Institute of Technology, Roorkee, Haridwar, India.
  16. Mason, J.B. (1968), "Analysis of thermally induced structural vibrations by finite element techniques", NASA TMX-63488.
  17. Narasimha, M., Appu, K. and Ravikiran, K. (2010), "Thermally induced vibration of a simply supported beam using finite element method", Int. J. Eng. Sci. Tech., 2(12), 7874-7879.
  18. Reddy, J.N. (2005), An Introduction to the Finite Element Method, 2nd Edition, Tata McGraw-Hill, New Delhi, Delhi, India.
  19. Thornton, E.A. and Foster, R.S. (1992), "Dynamic response of rapidly heated space structures", Proceedings of the 33rd Structures, Structural Dynamics and Materials Conference, Dallas, USA, April.
  20. Thornton, E.A. and Kim, Y.A. (1993), "Thermally induced bending vibrations of a flexible rolled-up solar array", J. Spacecraft Rock., 30(4), 438-448. https://doi.org/10.2514/3.25550
  21. Timoshenko, S. and Googier, J.N. (1951), Theory of Elasticity, 2nd Edition, McGraw-Hill, New York, NY, USA.

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