Natural sway frequencies and damping ratios of trees: Concepts, review and synthesis of previous studies

Trees - Structure and Function

Volumn 18, Issue 2, 2004, Pages 195-203

  Moore, John R ^a,b   Maguire, Douglas A ^a  

^a OREGON STATE UNIVERSITY   (United States)

^b SCION   (New Zealand)

Author keywords

Damping ratio; Natural frequency; Tree mechanics; Wind damage

Indexed keywords

DAMPING; DRAG; NATURAL FREQUENCIES; SYNTHESIS (CHEMICAL);

NATURAL SWAY FREQUENCIES; STAND DENSITY INDEX (SDI);

FORESTRY;

ABIES; CONIFEROPHYTA; PICEA; PSEUDOTSUGA; PSEUDOTSUGA MENZIESII;

EID: 1642328447     PISSN: 09311890     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00468-003-0295-6     Document Type: Review

References (37)

1. Baker CJ (1995) The development of a theoretical model for the windthrow of plants. J Theor Biol 175:355-375
2. Baker CJ (1997) Measurement of the natural frequencies of trees. J Exp Bot 48:1125-1132
3. Blackburn P, Miller KF, Petty JA (1988) An assessment of the static and dynamic factors involved in windthrow. Forestry 61:29-43
4. Clough RW, Penzien J (1993) Dynamics of structures. McGraw Hill, New York
5. Everham EM (1995) A comparison of methods for quantifying catastrophic wind damage to forests. In: Coutts MP, Grace J (eds) Wind and trees. Cambridge University Press, Cambridge, pp 340-357
6. Flesch TK, Wilson JD (1999) Wind and remnant tree sway in forest cutblocks. II. Relating measured tree sway to wind statistics. Agric For Meteorol 93:243-258
7. Forest Products Laboratory (1999) Wood handbook - wood as an engineering material. Gen Tech Rep FPL-GTR-113, U.S. Department of Agriculture, Forest Service, Forest Products Laboratory, Madison, Wis.
8. Furnival GM (1961) An index for comparing equations used in constructing volume tables. For Sci 7:337-341
9. Gardiner BA (1992). Mathematical modelling of the static and dynamic characteristics of plantation trees. In: Franke J, Roeder A (eds) Mathematical modelling of forest ecosystems. Sauerländer, Frankfurt/Main, pp 40-61
10. Gardiner BA, Stacey GR, Belcher RE, Wood CJ (1997) Field and wind tunnel assessments and the implications of respacing and thinning for tree stability. Forestry 70:233-252
11. Hassinen A, Lemettinen M, Peltola H, Kellomaki S, Gardiner B (1998) A prism-based system for monitoring the swaying of trees under wind loading. Agric For Meteorol 90:187-194
12. Hoag DL, Fridley RB, Hutchinson JR (1971) Experimental measurement of internal and external damping properties of tree limbs. Trans ASAE 14:20-28
13. Holbo HR, Corbett TC, Horton PJ (1980) Aeromechanical behaviour of selected Douglas-fir. Agric Meteorol 21:81-91
14. Kerzenmacher T, Gardiner BA (1998) A mathematical model to describe the dynamic response of a spruce tree to the wind. Trees 12:385-394
15. Larsen DR, Hann DW (1987) Height diameter equations for seventeen tree species in southwest Oregon. Research Paper 49. Oregon Forest Research Laboratory, Oregon State University, Corvallis, Ore.
16. Loo SP (1975) Aerodynamic characteristics of a flexible structure (tree). ME Thesis, University of Canterbury, Christchurch
17. Mayer H (1987) Wind-induced tree sways. Trees 1:195-206
18. Mayhead GJ (1973a) Sway periods of forest trees. Scot For 27:19-23
19. Mayhead GJ (1973b) Some drag coefficients for British forest trees derived from wind tunnel studies. Agric Meteorol 12:123-130
20. Mayhead GJ, Gardiner JBH, Durrant DW (1975) A report on the physical properties of conifers in relation to plantation stability, Unpublished report of the Forestry Commission Research and Development Branch, Edinburgh
21. Means JE, Hansen HA, Koerper GJ, Alaback PB, Klopsh MW (1994) Software for computing plant biomass - BIOPAK users guide. Gen Tech Rep PNW-GTR-340. U.S. Department of Agriculture, Forest Service, Pacific Northwest Research Station, Portland, Ore.
22. Milne R (1991) Dynamics of swaying Picea sitchensis. Tree Physiol 9:383-399
23. Niklas KJ (1992) Plant biomechanics: an engineering approach to plant form and function. The University of Chicago Press, Chicago
24. Nowacki GJ, Kramer MG (1998) The effect of wind disturbance on temperate rain forest structure and dynamics of southeast Alaska. Gen Tech Rep PNW-GTR-421. U.S. Department of Agriculture, Forest Service, Pacific Northwest Research Station, Portland, Ore.
25. O'Sullivan MF, Ritchie RM (1992) An apparatus to apply dynamic loads to forest trees. J Agric Eng Res 51:153-156
26. Papesch AJG (1984) Wind effects on (Canterbury) forests. Ph.D Thesis, University of Canterbury, Christchurch
27. Peltola H, Kellomaki S, Hassinen A, Lemittinen M, Aho J (1993) Swaying of trees as caused by wind: analysis of field measurements. Silva Fenn 27:113-126
28. Quine CP (1995) Assessing the risk of wind damage to forests: practices and pitfalls. In: Coutts MP, Grace J (eds) Wind and trees. Cambridge University Press, Cambridge, pp 379-403
29. Quine CP, Gardiner BA (1991) Storm damage to forests: a major abiotic threat with global occurrence. Proceedings of the Tenth World Forestry Conference, Paris, September, 1991, Paris, pp 339-345
30. Raymer WG (1962) Wind resistance of conifers. Report 1008. National Physical Laboratory, Aerodynamics Division, Teddington
31. Reineke JL (1933) Perfecting a stand density index for even-aged forests. J Agric Res 46:627-638
32. Rodgers M, Casey A, McMenamin C, Hendrick E (1995) An experimental investigation of the effects of dynamic loading on coniferous trees planted on wet mineral soils. In: Coutts MP, Grace J (eds) Wind and trees. Cambridge University Press, Cambridge, pp 204-219
33. Roodbaraky HJ, Baker CJ, Dawson AR, Wright CJ (1994) Experimental observations of the aerodynamic characteristics of urban trees. J Wind Eng Ind Aerodyn 52:171-184
34. Sugden MJ (1962) Tree sway period - a possible new parameter for crown classification and stand competition. For Chron 38:336-344
35. Vogel S (1988) Life's devices: the physical world of animals and plants. Princeton University Press, Princeton, New Jersey
36. White RG, White MF, Mayhead GJ (1976) Measurement of the motion of trees in two dimensions. Research Report 86, University of Southampton, Institute of Sound and Vibration, Southampton
37. Wood CJ (1995) Understanding wind forces on trees. In: Coutts MP, Grace J (eds), Wind and trees. Cambridge University Press, Cambridge, pp 133-164