Browse > Article
http://dx.doi.org/10.12989/was.2018.26.6.355

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.)
Publication Information
Wind and Structures / v.26, no.6, 2018 , pp. 355-367 More about this Journal
Abstract
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.
Keywords
membrane structure; orthotropy; geometrical nonlinearity; flow separation; aerodynamic instability; critical velocity of divergence instability;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 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.
2 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.   DOI
3 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.   DOI
4 Yang, Q. and Liu, R. (2005), "On aerodynamic stability of membrane structures", Int. J. Space Struct., 20(3), 181-188.   DOI
5 Yang, Q.S. and Liu, R.X. (2006), "Studies on aerodynamic stability of membrane structures", Eng. Mech., 23(9), 18-24(in Chinese).
6 Stanford, B. and Sytsma, M. (2007), "Static aeroelastic model validation of membrane micro air vehicle wings", AIAA J., 45(12), 2828-2837.   DOI
7 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.
8 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.   DOI
9 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.   DOI
10 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.   DOI
11 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.   DOI
12 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.   DOI
13 Bisplinghoff, R.L., Ashley, H. and Halfman, R.L. (1955), Aeroelasticity, Addison-Wesley, New Jersey, America.
14 Dowell, E.H. (1970), "Panel flutter: A review of the aeroelastic stability of panel and shells", AIAA J., 8(3), 385-399.   DOI
15 Finnemore, E.J. and Franzini, J.B. (2001), Fluid Mechanics with Engineering Applications, McGraw-Hill Companies, New York, America.
16 Forsching, H.W. (1982), Principles of aeroelasticity, Shanghai Science and Technology Literature Press, Shanghai, China (in Chinese).
17 Ivovich, V.A. and Pokrovskii, L.N. (1991), Dynamic analysis of suspended roof systems, A.A. Balkema, Rotterdam, Netherlands.
18 Kawakita, S., Bienkiewicz, B. and Cermak, J.E. (1992), "Aeroelastic model study of suspended cable roof", J. Wind Eng. Ind. Aerod., 42, 1459-1470.   DOI
19 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).
20 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.   DOI
21 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.
22 Minami, H. (1998), "Added mass of a membrane vibrating at finite amplitude", J. Fluid. Struct., 1998, 12, 919-932.   DOI
23 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.
24 Miyake, A., Yoshimura, T. and Makino, M. (1992), "Aerodynamic instability of suspended roof modals", J. Wind Eng. Ind. Aerod., 42, 1471-1482.   DOI
25 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.   DOI
26 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.
27 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.   DOI
28 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.   DOI
29 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.
30 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.   DOI
31 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.   DOI
32 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.
33 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.
34 Sygulski, R. (1994), "Dynamic analysis of open membrane structures interaction with air", Int. J. Numer. Meth. Eng., 37(11), 1807-1823.   DOI
35 Sygulski, R. (1997), "Numerical analysis of membrane stability in air flow", J. Sound Vib., 201(3), 281-292.   DOI