Einige Turbulenzspektren an der Bestandsoberhöhe eines Fichtenwaldes

Amtmann, Richard

doi:10.1007/bf02263443

Cited by 1 publication

(1 citation statement)

References 7 publications

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“…Papesch (1974) used the method of Macdonald and Morgan (1972), which divides the tree into short sections, to model the dynamic response of conifers. Mayer (1987) used the differential equations derived by Försching (1974) for the one dimensional sway of a cantilever beam to derive the mechanical and aerodynamic transfer functions of trees (Holbo et al 1980;Amtmann 1982). These transfer functions allow the energy spectrum of the tree response to be derived from the turbulence spectrum above the canopy and can be compared to the measured tree response.…”

Section: Introductionmentioning

confidence: 99%

A mathematical model to describe the dynamic response of a spruce tree to the wind

Kerzenmacher

Gardiner²

1998

Trees

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A mathematical, computer-based, dynamic sway model of a Sitka spruce (Picea sitchensis) tree was developed and tested against measurements of the movement of a tree within a forest. The model tree was divided into segments each with a stiffness, mass and damping parameter. Equations were formulated to describe the response of every segment which together form a system of coupled differential equations. These were solved with the aid of matrices and from the resulting modes, the transfer function of the tree was found and used to calculate the movement of the tree in the wind. Comparison of the modelled movement of a tree in response to the measured wind speed above a forest canopy gave good agreement with the measured movement of the top of the tree but less satisfactory agreement close to the base. The comparison also pointed to the complexity of tree response to the wind and inadequacies in the model. In particular, the branches need to be treated as coupled cantilevers attached to the stem rather than simply as masses lumped together.& k w d : Key words Wind Damage · Tree Movement · Modelling& b d y :

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Section: Introductionmentioning

confidence: 99%