Wind and Structures

  • 제22권1호
  • /
  • Pages.17-41
  • /
  • 2016
  • /
  • 1226-6116(pISSN)
  • /
  • 1598-6225(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Numerical simulation of 3-D probabilistic trajectory of plate-type wind-borne debris

  • Huang, Peng (State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University) ;
  • Wang, Feng (State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University) ;
  • Fu, Anmin (State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University) ;
  • Gu, Ming (State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University)
  • 투고 : 2014.03.16
  • 심사 : 2015.06.27
  • 발행 : 2016.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

To address the uncertainty of the flight trajectories caused by the turbulence and gustiness of the wind field over the roof and in the wake of a building, a 3-D probabilistic trajectory model of flat-type wind-borne debris is developed in this study. The core of this methodology is a 6 degree-of-freedom deterministic model, derived from the governing equations of motion of the debris, and a Monte Carlo simulation engine used to account for the uncertainty resulting from vertical and lateral gust wind velocity components. The influence of several parameters, including initial wind speed, time step, gust sampling frequency, number of Monte Carlo simulations, and the extreme gust factor, on the accuracy of the proposed model is examined. For the purpose of validation and calibration, the simulated results from the 3-D probabilistic trajectory model are compared against the available wind tunnel test data. Results show that the maximum relative error between the simulated and wind tunnel test results of the average longitudinal position is about 20%, implying that the probabilistic model provides a reliable and effective means to predict the 3-D flight of the plate-type wind-borne debris.

키워드

과제정보

연구 과제 주관 기관 : Ministry of Science and Technology of China

참고문헌

  1. Cline, M.B. and Pai, D.K. (2003), "Post-stabilization for rigid body simulation with contact and constraints". Proceedings of the IEEE International Conference on Robotics and Automation, IEEE International Conference on.
  2. Fu, A.M., Huang, P. and Gu, M. (2013), "Numerical model of three-dimensional motion of plate-type wind-borne debris based on quaternions and its improvement in unsteady flow", Appl.Mech. Mater., 405-408, 2399-2408. https://doi.org/10.4028/www.scientific.net/AMM.405-408.2399
  3. Grayson, J.M., Pang, W.C. and Schiff, S. (2012), "Three-dimensional probabilistic wind-borne debris trajectory model for building envelope impact risk assessment", J. Wind Eng. Ind. Aerod., 102, 22-35. https://doi.org/10.1016/j.jweia.2012.01.002
  4. Kakimpa, B., Hargreaves, D.M. and Owen, J.S. (2012), "An investigation of plate-type windborne debris flight using coupled CFD-RBD models, Part II: Free and constrained flight", J. Wind Eng. Ind. Aerod., 111, 104-116. https://doi.org/10.1016/j.jweia.2012.07.011
  5. Kareem, A. (1986), "Performance of cladding in Hurricane Alicia", J. Struct. Eng., 112(12), 2679-2693. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:12(2679)
  6. Kordi, B., Traczuk, G. and Kopp, G.A. (2010), "Effects of wind direction on the flight trajectories of roof sheathing panels under high winds", Wind Struct., 13(2), 145-167. https://doi.org/10.12989/was.2010.13.2.145
  7. Kordi, B. and Kopp, G.A. (2011), "Effects of initial conditions on the flight of windborne plate debris", J. Wind Eng. Ind. Aerod., 99(5), 601-614. https://doi.org/10.1016/j.jweia.2011.02.009
  8. Lee, B.E. (1988), "Engineering design for extreme winds in Hong Kong", Hong Kong Eng., 16(4), 15-23.
  9. Lin N., Letchford, C. and Holmes, J. (2006), "Investigation of plate-type windborne debris. Part I: Experiments in wind tunnel and full scale", J. Wind Eng. Ind. Aerod., 94(2), 51-76. https://doi.org/10.1016/j.jweia.2005.12.005
  10. Minor, J.E. (1994), "Windborne debris and the building envelope", J. Wind Eng. Ind. Aerod., 53, 207-227. https://doi.org/10.1016/0167-6105(94)90027-2
  11. Moghim, F. and Caracoglia, L. (2012), "A numerical model for wind-borne compact debris trajectory estimation: Part 2-Simulated vertical gust effects on trajectory and mass momentum", Eng. Struct., 38, 163-170. https://doi.org/10.1016/j.engstruct.2011.12.032
  12. National Association of Home Builders (NAHB) Research Center (2002), Wind-borne Debris Impact Resistance of Residential Glazing. U.S. Department of Housing and Urban Development, Office of Policy Development and Research, Cooperative Agreement H-21172CA, Washington, D.C., USA.
  13. Noda, M. and Nagao, F. (2010), "Simulation of 6DOF motion of 3D flying debris", Proceedings of the 5th International Symposium on Computational Wind Engineering (CWE2010), Chapel Hill, North Carolina, USA.
  14. Richards, P.J., Williams, N., Laing, B. et al. (2008), "Numerical calculation of the three-dimensional motion of wind-borne debris", J. Wind Eng. Ind. Aerod., 96(10-11), 2188-2202. https://doi.org/10.1016/j.jweia.2008.02.060
  15. Roache, P.J. (1997), "Quantification of uncertainty in computational fluid dynamics", Annu. Review Fluid Mech., 29(1), 123-160. https://doi.org/10.1146/annurev.fluid.29.1.123
  16. Simiu, E. and Scanlan, R.H. (1996), Wind effects on structures, New York, NY, USA: John Wiley and Sons.
  17. Tachikawa, M. (1988), "A method for estimating the distribution range of trajectories of wind-borne missiles", J. Wind Eng. Ind. Aerod., 29, 175-184. https://doi.org/10.1016/0167-6105(88)90156-0
  18. Visscher, B.T. and Kopp, G.A. (2007), "Trajectories of roof sheathing panels under high winds", J. Wind Eng. Ind. Aerod., 95, 697-713. https://doi.org/10.1016/j.jweia.2007.01.003
  19. Warga, J. (1976), Derivate containers, inverse functions, and controllability, Calculus of Variations and Control Theory, DL Russell, Ed., Academic Press, New York, 13-46.
  20. Wills, J.A.B., Lee, B.E. and Wyatt, T.A. (2002), "A model of windborne debris damage", J. Wind Eng. Ind. Aerod., 90, 555-565. https://doi.org/10.1016/S0167-6105(01)00197-0