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Nonlinear dynamics and failure wind velocity analysis of urban trees
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  • Journal title : Wind and Structures
  • Volume 22, Issue 1,  2016, pp.89-106
  • Publisher : Techno-Press
  • DOI : 10.12989/was.2016.22.1.089
 Title & Authors
Nonlinear dynamics and failure wind velocity analysis of urban trees
Ai, Xiaoqiu; Cheng, Yingyao; Peng, Yongbo;
 Abstract
With an aim to assess the wind damage to urban trees in more realistic conditions, the nonlinear dynamics of structured trees subjected to strong winds with different levels is investigated in the present paper. For the logical treatment of dynamical behavior of trees, material nonlinearities of green wood associated with tree biomechanics and geometric nonlinearity of tree configuration are included. Applying simulated fluctuating wind velocity to the numerical model, the dynamical behavior of the structured tree is explored. A comparative study against the linear dynamics analysis usually involved in the previous researches is carried out. The failure wind velocity of urban trees is then defined, whereby the failure percentages of the tree components are exposed. Numerical investigations reveal that the nonlinear dynamics analysis of urban trees results in a more accurate solution of wind-induced response than the classical linear dynamics analysis, where the nonlinear effect of the tree behavior gives rise to be strengthened as increasing of the levels of wind velocity, i.e., the amplitude of 10-min mean wind velocity. The study of relationship between the failure percentage and the failure wind velocity provides a new perspective towards the vulnerability assessment of urban trees likely to fail due to wind actions, which is potential to link with the practical engineering.
 Keywords
nonlinear dynamics;failure wind velocity;urban trees;geometric nonlinearity;tree biomechanics;wind damage;
 Language
English
 Cited by
 References
1.
Aly, M.A., Fabio, F. and Sara, M. et al. (2013), "Wind loading on trees integrated with a building envelope", Wind Struct., 17(1), 69-85. crossref(new window)

2.
Baker, C.J. (1995), "The development of a theoretical model for the windthrow of plants", J. Theor. Biol., 175, 355-372. crossref(new window)

3.
Baker, C.J. (1997), "Measurements of the natural frequencies of trees", J. Exper. Botany, 48(310), 1125-1132. crossref(new window)

4.
Beer, F.P., Johnston, E.R., DeWolf, J.T. and Mazurek, D.F. (2012), Mechanics of Materials, McGraw-Hill, New York, United States.

5.
Brudi, E. (2002), Trees and Statics: An introduction. Arborist News: 28-33.

6.
Cheng, J.Q., Yang, J.J. and Liu, P. (1992), Chinese Wood Handbook, Chinese Forestry Press, Beijing, China, (in Chinese).

7.
Ciftci, C., Arwade, S.R., Kane, B. and Brena, S.F. (2014), "Analysis of the probability of failure for opengrown trees during wind storms", Probabilist. Eng. Mech., 37, 41-50. crossref(new window)

8.
Ciftci, C., Brena, S.F., Kane, B. and Arwade, S.R. (2013), "The effect of crown architecture on dynamic amplification factor of an open-grown sugar maple (Acer saccharum L.)", Trees, 27, 1175-1189. crossref(new window)

9.
Cucchi, V., Meredieu, C., Stokes, A., DeColigney, F., Suarez, J. and Gardiner, B., (2005), "Modelling the windthrow risk for simulated forest stands of Maritime pine (Pinus pinaster Ait.)", Forest Ecol. Manag., 213, 184-196. crossref(new window)

10.
Dahle, G.A. and Grabosky, J.C. (2010), "Variation in modulus of elasticity (E) along Acer platanoides L.(Aceraceae) branches", Urban Forestry & Urban Greening, 9, 227-233. crossref(new window)

11.
Davenport, A.G. (1961), "The spectrum of horizontal gustiness near the ground in high winds", Q. J. Roy. Meteorol. Soc., 87(372), 194-211. crossref(new window)

12.
Dyrbye, C. and Hansen, S.O. (1997), Wind Loads onStructures, John Wiley and Sons, Chichester, England.

13.
Gardiner, B.A., Peltola, H. and Kellomaki, S. (2000), "Comparison of two models for predicting the critical wind velocities required to damage coniferous trees", Ecol. Model., 129(1), 1-23. crossref(new window)

14.
James, K.R., Haritos, N. and Ades, P.K. (2006), "Mechanical stability of trees under dynamic loads", Am. J. Botany, 93(10), 1522-1530. crossref(new window)

15.
Jim, C.Y. and Liu, H.T. (1997), Storm damage on urban trees in Guangzhou, China. Landscape and Urban Planning, 38, 45-59. crossref(new window)

16.
Kareem, A. (2008), "Numerical simulation of wind effects: a probabilistic perspective", J. Wind Eng. Ind. Aerod., 96(10-11), 1472-1497. crossref(new window)

17.
Lee, J.P., Lee, E.J. and Lee, S.J. (2014), "Effect of trunk length on the flow around a fir tree", Wind Struct., 18(1), 69-82. crossref(new window)

18.
Lipecki, T. and Flaga, A. (2010), "Direct simulation of vortex excitation by using stochastic methods", Proceedings of the 5th International Symposium on Computational Wind Engineering (CWE2010) Chapel Hill, North Carolina, USA May 23-27.

19.
Oliver, H.R. and Mayhead, G.J. (1974), "Wind measurements in a pine forest during a destructive gale", Forestry, 47(2), 185-194. crossref(new window)

20.
Rossi, R., Lazzari, M. and Vitaliani, R. (2004), "Wind field simulation for structural engineering purposes", Int. J. Numer. Meth. Eng., 61(5), 738-763. crossref(new window)

21.
Rudnicki, M.R., Mitchell, S.J. and Novak, M.D. (2004), "Wind tunnel measurements of crown streamlining and drag relationships for three conifer species", Can. J. Forest Res., 34(3), 666-676. crossref(new window)

22.
Saunderson, S.E.T., Baker, C.J. and England, A. (1999), "A dynamic model of the behaviour of Sitka Spruce in high winds", J. Theor. Biol., 200(3), 249-259. crossref(new window)

23.
Sellier, D., Fourcaud, T. and Lac, P. (2006), "A finite element model for investigating effects of aerial architecture on tree oscillations", Tree Physiol., 26(6), 799-806. crossref(new window)

24.
Sellier, D., Brunet, Y. and Fourcaud, T. (2008), "A numerical model of tree aerodynamic response to a turbulent airflow", Forestry, 81(3), 279-297. crossref(new window)

25.
Simiu, E. (1974), "Wind spectra and dynamic along wind response", J. Struct. Division, 100(9), 1897-1910.

26.
Spatz, H.C.H. and Bruechert, F. (2000), "Basic biomechanics of self-supporting plants: wind loads and gravitational loads on a Norway spruce tree", Forest Ecol. Manag., 135(2000), 33-44. crossref(new window)

27.
Spatz, H.C.H. and Speck, O. (2002), "Oscillation frequencies of tapered plant stems", Am. J. Botany, 89(1), 1-11. crossref(new window)

28.
Zienkiewicz, O.C. and Taylor, R.L. (1991), The finite element method, 4th Ed., Mc.Graw-Hill, London.