Wind and Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Nonlinear wind-induced instability of orthotropic plane membrane structures

  • Liu, Changjiang (State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology) ;
  • Ji, Feng (State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology) ;
  • Zheng, Zhoulian (College of Civil Engineering, Chongqing University) ;
  • Wu, Yuyou (Department of Buildings, Shenzhen Institute of Urban Safety) ;
  • Guo, Jianjun (Chongqing Water Resources and Electric Engineering College)
  • Received : 2016.09.03
  • Accepted : 2017.11.14
  • Published : 2017.11.25
⟨ Previous Next ⟩

Abstract

The nonlinear aerodynamic instability of a tensioned plane orthotropic membrane structure is theoretically investigated in this paper. The interaction governing equation of wind-structure coupling is established by the Von $K\acute{a}rm\acute{a}n's$ large amplitude theory and the D'Alembert's principle. The aerodynamic force is determined by the potential flow theory of fluid mechanics and the thin airfoil theory of aerodynamics. Then the interaction governing equation is transformed into a second order nonlinear differential equation with constant coefficients by the Bubnov-Galerkin method. The critical wind velocity is obtained by judging the stability of the second order nonlinear differential equation. From the analysis of examples, we can conclude that it's of great significance to consider the orthotropy and geometrical nonlinearity to prevent the aerodynamic instability of plane membrane structures; we should comprehensively consider the effects of various factors on the design of plane membrane structures; and the formula of critical wind velocity obtained in this paper provides a more accurate theoretical solution for the aerodynamic stability of the plane membrane structures than the previous studies.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China, Chengdu University of Technology, Chongqing Municipal Education Commission

References

  1. Attar, P.J. and Dowell, E.H. (2005), "A reduced order system ID approach to the modeling of nonlinear structural behavior in aeroelasticity", J. Fluid Struct., 21(5), 531-542. https://doi.org/10.1016/j.jfluidstructs.2005.08.012
  2. Dowell, E.H. (1970), "Panel flutter: A review of the aeroelastic stability of panel and shells", AIAA J., 8(3), 385-399. https://doi.org/10.2514/3.5680
  3. Forsching, H.W. (1980), "Principles of Aeroelasticity", Shanghai Science & Technology Press, Shanghai. (in Chinese)
  4. Gluck, M., Breuer, M., Durst, F., Halfmann, A. and Rank, E. (2001). "Computation of fluid-structure interaction on lightweight structures", J. Wind Eng. Ind. Aerod., 89(14), 1351-1368. https://doi.org/10.1016/S0167-6105(01)00150-7
  5. Ivovich, V.A. and Pokrovskii, L.N. (1991), "Dynamic analysis of suspended roof systems", A. A. Balkema, Rotterdam.
  6. Kawakita, S., Bienkiewicz, B. and Cermak, J.E. (1992), "Aerolelastic model study of suspended cable roof", J. Wind Eng. Ind. Aerod., 42 (1), 1459-1470. https://doi.org/10.1016/0167-6105(92)90153-2
  7. Kornecki, A., Dowell E.H. and O'Brien, J. (1976), "On the aeroelastic instability of two-dimensional panels in uniform incompressible flow", J. Sound Vib., 47(2), 163-178. https://doi.org/10.1016/0022-460X(76)90715-X
  8. Liu, C.J., Zheng, Z.L., Jun, L., Guo, J.J., and Wu, K. (2013), "Dynamic analysis for nonlinear vibration of prestressed orthotropic membrane structure with viscous damping", Int. J. Struct. Stab. Dy., 13(2), Article ID 1350018, 32 pages.
  9. Liu, C.J., Zheng, Z.L., Yang, X.Y., and Zhao, H. (2014), "Nonlinear damped vibration of pre-stressed orthotropic membrane structure under impact loading", Int. J. Struct. Stab. Dy., 14(1), Article ID 1350055, 24 pages.
  10. Lu, D., Lou, W.J. and Yang, Y. (2013), "Numerical calculation on wind-induced damping of membrane structure based on fluid-structure interaction", J. Vib. Shock, 6, 011.
  11. Luo Y.C. (2006), "The accident analysis of membrane structures and several aspects to structural design", Spec. Struct., 23(1), 26-29.
  12. Michalski, A., Kermel, P.D., Haug, E., Lohner, R., Wuchner, R. and Bletzinger, K U. (2011), "Validation of the computational fluid-structure interaction simulation at real-scale tests of a flexible 29m umbrella in natural wind flow", J. Wind Eng. Ind. Aerod., 99(4), 400-413. https://doi.org/10.1016/j.jweia.2010.12.010
  13. Minarni, H., Okuda, Y. and Kawamura, S. (1993), "Experimental studies on the flutter behavior of membranes in a wind tunnel", Space Struct., 4, 935-945.
  14. Miyake, A., Yoshimura, T. and Makino, M. (1992), "Aerodynamic instability of suspended roof modals", J. Wind Eng. Ind. Aerod., 42(1), 1471-1482. https://doi.org/10.1016/0167-6105(92)90154-3
  15. Scott, R.C., Bartels, R.E. and Kandil, O.A. (2007), "An aeroelastic analysis of a thin flexible membrane", Proceedings of the 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Honolulu, Hawaii, April.
  16. Shin, C.J., Kim, W. and Chung, J.T. (2004), "Free in-plane vibration of an axially moving membrane", J. Sound Vib., 272(1-2), 137-154. https://doi.org/10.1016/S0022-460X(03)00323-7
  17. Stanford, B. and Sytsma, M. (2007), "Static aeroelastic model validation of membrane micro air vehicle wings", AIAA J., 45(12), 2828-2837. https://doi.org/10.2514/1.30003
  18. Stanford, B. and Ifju, P. (2008), "Fixed membrane wings for micro air vehicles: Experimental characterization, numerical modeling, and tailoring", Prog. Aerosp. Sci., 44(4), 258-294. https://doi.org/10.1016/j.paerosci.2008.03.001
  19. Sun, B.N., Mao G.D. and Lou, W.J. (2003), "Wind induced coupling dynamic response of closed membrane structures", Proceedings of the 11th International Conference on Wind Engineering, Sanya, Hainan, Dec.
  20. Sun, F.J., and Gu, M. (2014), "A numerical solution to fluid-structure interaction of membrane structures under wind action", Wind Struct., 19(1), 35-58. https://doi.org/10.12989/was.2014.19.1.035
  21. Sygulski, R. (1994), "Dynamic analysis of open membrane structures interaction with air", Int. J. Numer. Meth. Eng., 37(11), 1807-1823. https://doi.org/10.1002/nme.1620371103
  22. Sygulski, R. (1997), "Numerical analysis of membrane stability in air flow", J. Sound Vib., 201(3), 281-292. https://doi.org/10.1006/jsvi.1995.0790
  23. Sygulski, R. (1996). "Dynamic stability of pneumatic structures in wind: theory and experiment", J. Fluid. Struct., 10(8), 945-963. https://doi.org/10.1006/jfls.1996.0060
  24. Uematsu, Y. and Uchiyama, K. (1986), "Aeroelastic behavior of an H.P. shaped suspended roof", Proceedings of the IASS Symposium on Membrane Structures and Space Frame, Osaka, May.
  25. Wu, Y., Chen, Z.Q., and Sun, X.Y. (2015), "Research on the wind-induced aero-elastic response of closed-type saddle-shaped tensioned membrane models", J. Zhejiang Univ. Sci. A, 16(8), 656-668. https://doi.org/10.1631/jzus.A1400340
  26. Wu, Y., Sun, X. and Shen, S. (2008), "Computation of wind-structure interaction on tension structures", J. Wind Eng. Ind. Aerod., 96(10), 2019-2032. https://doi.org/10.1016/j.jweia.2008.02.043
  27. Xu, Y.P., Zheng, Z.L., Liu, C.J., Song, W.J. and Long, J. (2011), "Aerodynamic stability analysis of geometrically nonlinear orthotropic membrane structure with hyperbolic paraboloid", J. Eng. Mech. - ASCE, 137(11), 759-768. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000278
  28. Yang, Q.S. and Liu, R.X. (2005), "On aerodynamic stability of membrane structures", Int. J. Space Struct., 20(3), 181-188. https://doi.org/10.1260/026635105775213782
  29. Zhou, Y., Li, Y., Shen, Z., Wang, L. and Tamura, Y. (2014), "Numerical analysis of added mass for open flat membrane vibrating in still air using the boundary element method", J. Wind Eng. Ind. Aerod., 131, 100-111. https://doi.org/10.1016/j.jweia.2014.05.007
  30. Zheng, Z.L., Xu, Y.P., Liu, C.J. He, X.T. and Song, W.J. (2011), "Nonlinear aerodynamic stability analysis of orthotropic membrane structures with large amplitude", Struct. Eng. Mech., 37(4), 401-413. https://doi.org/10.12989/sem.2011.37.4.401

Cited by

  1. Influence of different material parameters on nonlinear vibration of the cylindrical skeleton supported prestressed fabric composite membrane vol.60, pp.1, 2017, https://doi.org/10.1515/rams-2021-0026