Keywords: large-span roof, turbulence model, fluid-structure interaction, flow domain, wind pressure distributed coefficient, wind-induced dynamic coefficient.

An experimental strategy is often used to evaluate the response of large-span roofs, but the wind tunnel experiments are expensive. Nowadays, computational tools such as computational fluid dynamics and computational structural dynamics are used to investigate the performance of the flow and the response of structures. In this paper, the numerical simulation for the wind pressure distribution of the large-span roof of a velodrome was undertaken with the ADINA software, which is especially suitable for problems of fluid-structure interactions (FSI) [1,2,3].

In the ADINA model, the material of structural bars is isotropic-linear-elastic, and the elastic modulus and Poisson's ration are 2.06*10¹¹N/m² and 0.3 respectively. The roof panel is discretized using four node shell elements, while the bars are discretized by two node beam elements. The two sides of the structure are symmetrical, therefore the paper has considered the three wind directions of 0°, 90°and 180°. In order to illuminate the wind pressure distribution of the roof surface, the surface is divided into nine areas.

According to the structure size and different wind directions, the author established the computational fluid models of different sizes. The fluid is modeled using the viscous and incompressible Reynolds-Averaged Navier-Stokes (RANS) equations with k-epsilon turbulence model [4], which is described by arbitrary Lagrangian-Eulerian (ALE) formulations in the FSI system [5]. The flow domain is discretized by eight nodes hexahedron FCBI-C [6] fluid elements. Furthermore, local mesh refinement is adopted near the wall of the structure.

As the analysis results of FSI numerical simulation, the wind-induced dynamic coefficients and the wind pressure distribution coefficients of each subarea used in designing the velodrome structure are obtained. The value 1.92 is suggested to be taken as the wind-induced dynamic coefficient for the structure.

1

R. Kroyer, "FSI analysis in supersonic fluid flow", Computers and Structures, 81, 755-764, 2003. doi:10.1016/S0045-7949(02)00423-6

2

D. Tang, C. Yang, D.N. Ku, "A 3-D thin-wall model with fluid-structure interactions for blood flow in carotid arteries with symmetric and asymmetric stenoses", Computers and Structures, 72, 357-377, 1999. doi:10.1016/S0045-7949(99)00019-X

3

D. Tang, C. Yang, Y. Huang, D.N. Ku, "Wall stress and strain analysis using a three-dimensional thick-wall model with fluid-structure interactions for blood flow in carotid arteries with stenosed", Computers and Structures, 72, 341-356, 1999. doi:10.1016/S0045-7949(99)00009-7

4

K.J. Bathe, "Finite Element Procedures", Prentice-Hall, Inc., 1996.

5

M. Souli, A. Ouahsine, L. Lewin, "ALE Formulation for Fluid-structure Interaction Problems", Comput. Methods Appl. Mech. Engrg, 190, 659-675, 2000. doi:10.1016/S0045-7825(99)00432-6

6

"ADINA Theory and Modeling Guide Volume III:ADINA-F", Report ARD, 04-09, 2004.

7

X.L. Chen, S.Z. Shen, Y. Xian, "Wind-inducing Response Analysis and The Coefficient for Wind-Resistant Design of The Saddle-Shaped Membrane Structures", Journal of Tianjin Institute of Urban Construction, 7(3):159-163, 2001.

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