DOI QR코드

DOI QR Code

Aerodynamic stability analysis of geometrically nonlinear orthotropic membrane structure with hyperbolic paraboloid in sag direction

  • Xu, Yun-ping (China Resources Land Limited (Chongqing)) ;
  • Zheng, Zhou-lian (College of Civil Engineering, Chongqing Univ.) ;
  • Liu, Chang-jiang (State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology) ;
  • Wu, Kui (College of Civil Engineering, Chongqing Univ.) ;
  • Song, Wei-ju (College of Civil Engineering, Chongqing Univ.)
  • 투고 : 2017.03.02
  • 심사 : 2018.02.08
  • 발행 : 2018.06.25

초록

This paper studies the aerodynamic stability of a tensioned, geometrically nonlinear orthotropic membrane structure with hyperbolic paraboloid in sag direction. Considering flow separation, the wind field around membrane structure is simulated as the superposition of a uniform flow and a continuous vortex layer. By the potential flow theory in fluid mechanics and the thin airfoil theory in aerodynamics, aerodynamic pressure acting on membrane surface can be determined. And based on the large amplitude theory of membrane and D'Alembert's principle, interaction governing equations of wind-structure are established. Then, under the circumstance of single-mode response, the Bubnov-Galerkin approximate method is applied to transform the complicated interaction governing equations into a system of second-order nonlinear differential equation with constant coefficients. Through judging the frequency characteristic of the system characteristic equation, the critical velocity of divergence instability is determined. Different parameter analysis shows that the orthotropy, geometrical nonlinearity and scantling of structure is significant for preventing destructive aerodynamic instability in membrane structures. Compared to the model without considering flow separation, it's basically consistent about the divergence instability regularities in the flow separation model.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China

참고문헌

  1. Attar, P.J. and Dowell, E.H. (2005), "A reduced order system ID approach to the modelling of nonlinear structural behavior in aeroelasticity", J. Fluid. Struct., 21(5-7), 531-542. https://doi.org/10.1016/j.jfluidstructs.2005.08.012
  2. Awrejcewicz, J. (2013), "Large amplitude free vibration of orthotropic shallow shells of complex shapes with variable thickness", Latin American J. Solids Struct., 10(10), 149-162. https://doi.org/10.1590/S1679-78252013000100015
  3. Banichuk, N., Jeronen, J., Neittaanmaki, P. and Tuovinen, T. (2010a), "Static instability analysis for travelling membranes and plates interacting with axially moving ideal fluid", J. Fluid. Struct., 26(2), 274-291. https://doi.org/10.1016/j.jfluidstructs.2009.09.006
  4. Banichuk, N., Jeronen, J., Neittaanmaki, P. and Tuovinen, T. (2010b), "On the instability of an axially moving elastic plate", Int. J. Solids Struct., 47(1), 91-99. https://doi.org/10.1016/j.ijsolstr.2009.09.020
  5. Bisplinghoff, R.L., Ashley, H. and Halfman, R.L. (1955), Aeroelasticity, Addison-Wesley, New Jersey, America.
  6. 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
  7. Finnemore, E.J. and Franzini, J.B. (2001), Fluid Mechanics with Engineering Applications, McGraw-Hill Companies, New York, America.
  8. Forsching, H.W. (1982), Principles of aeroelasticity, Shanghai Science and Technology Literature Press, Shanghai, China (in Chinese).
  9. Ivovich, V.A. and Pokrovskii, L.N. (1991), Dynamic analysis of suspended roof systems, A.A. Balkema, Rotterdam, Netherlands.
  10. Kawakita, S., Bienkiewicz, B. and Cermak, J.E. (1992), "Aeroelastic model study of suspended cable roof", J. Wind Eng. Ind. Aerod., 42, 1459-1470. https://doi.org/10.1016/0167-6105(92)90153-2
  11. 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
  12. Li, Q.X. and Sun, B.N. (2006), "Wind-induced aerodynamic instability analysis of the closed membrane roofs", J. Vib. Eng., 19(3), 346-353 (in Chinese).
  13. Liu, C.J., Zheng, Z.L., Long, J., Guo, J.J. and Wu, K. (2013), "Dynamic analysis for nonlinear vibration of prestressed orthotropic membranes with viscous damping", Int. J. Struct. Stab. Dynam., 13(2), 60-66.
  14. Liu, M., Chen, X. and Yang, Q. (2016), "Characteristics of dynamic pressures on a saddle type roof in various boundary layer flows", J. Wind Eng. Ind. Aerod., 150, 1-14. https://doi.org/10.1016/j.jweia.2015.11.012
  15. Minami, H. (1998), "Added mass of a membrane vibrating at finite amplitude", J. Fluid. Struct., 1998, 12, 919-932. https://doi.org/10.1006/jfls.1998.0175
  16. Minami, H., Okuda, Y. and Kawamura, S. (1993), "Experimental studies on the flutter behavior of membranes in a wind tunnel." Space Structures 4, (Eds., G.A.R. Parke and C.M. Howard) Vol.1, Thomas Telford, London.
  17. Miyake, A., Yoshimura, T. and Makino, M. (1992), "Aerodynamic instability of suspended roof modals", J. Wind Eng. Ind. Aerod., 42, 1471-1482. https://doi.org/10.1016/0167-6105(92)90154-3
  18. Munteanu, S.L., Rajadas, J., Nam, C. and Chattopadhyay, A. (2015), "Reduced-order-model approach for aeroelastic analysis involving aerodynamic and structural nonlinearities", AIAA J., 43(3), 560-571. https://doi.org/10.2514/1.10971
  19. Rizzo, F. and Ricciardelli, F. (2016), "Design approach of wind load for Hyperbolic paraboloid roof with circular and elliptical plan", Eng. Struct., 139, 153-169.
  20. Rizzo, F. and Sepe, V. (2015), "Static loads to simulate dynamic effects of wind on hyperbolic paraboloid roofs with square plan", J. Wind Eng. Ind. Aerod., 137, 46-57. https://doi.org/10.1016/j.jweia.2014.11.012
  21. Scott, R.C., Bartels, R.E. and Kandil, O.A. (2007), "An aeroelastic analysis of a thin flexible membrane", Propulsion Conferences, 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, American Institute of Aeronautics and Astronautics (AIAA), Reston, VA.
  22. 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
  23. 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
  24. 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
  25. Sun, B.N., Mao, G.D. and Lou, W.J. (2003), "Wind induced coupling dynamic response of closed membrane structures", Proceedings of the 11th Int. Conf. On Wind Engineering, International Association for Wind Engineering, Atsugi, Japan.
  26. 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
  27. 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
  28. Tang, D.M. and Dowell, E.H. (2015), "Experimental and theoretical study for nonlinear aeroelastic behavior of a flexible rotor blade", AIAA J., 31(31), 1133-1142.
  29. Uematsu, Y., Arakatsu, F. and Matsumoto, S. (2009), "Wind force coefficients for designing hyperbolic paraboloid free-roofs", Nctam Papers, National Congress of Theoretical & Applied Mechanics, Japan, 58, 175-175.
  30. Vassilopoulou, I. and Gantes, C.J. (2012), "Nonlinear dynamic phenomena in a SDOF model of cable net", Arch. Appl. Mech., 82(10-11), 1689-1703. https://doi.org/10.1007/s00419-012-0660-2
  31. Xu, X.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., 137(11), 759-768. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000278
  32. Yang, Q. and Liu, R. (2005), "On aerodynamic stability of membrane structures", Int. J. Space Struct., 20(3), 181-188. https://doi.org/10.1260/026635105775213782
  33. Yang, Q.S. and Liu, R.X. (2006), "Studies on aerodynamic stability of membrane structures", Eng. Mech., 23(9), 18-24(in Chinese).
  34. Yang, Q., Wu, Y. and Zhu, W. (2010), "Experimental study on interaction between membrane structures and wind environment", Earthq. Eng. Eng. Vib., 9(4), 2010.
  35. Zheng, Z.L., Xu, X.P., Liu, C.J., Song, W.J. and Long, J. (2010), "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

피인용 문헌

  1. Fluid-structure interaction of a tensile fabric structure subjected to different wind speeds vol.31, pp.6, 2018, https://doi.org/10.12989/was.2020.31.6.533
  2. Response of a Double Hypar Fabric Structure Under Varying Wind Speed Using Fluid-Structure Interaction vol.18, pp.4, 2021, https://doi.org/10.1590/1679-78256367