Теоретическое определение усилия разрушения корней в почве рабочим органом корчевателя

Root systems of trees are represent the structure possessing property of self-similarity. Such structures it is possible to consider as фрактальные objects. Them fractal dimension characterises an estimation «branchiness» of root system and indirectly defines distribution degree in a soil massif. The indicator fractal dimensions for root systems of fruit-trees is certain by a method of calculation of squares of the various scale covering a projection of root system on a plane. The indicator фрактальной has made dimensions D of root systems of apple-trees of a grade of Antonovka of 1973 of a bookmark 1,63...1,68. As a result of carrying out of numerous imitating experiments on models of branchy structures with various thickness of a branch, the interrelation of the area limiting фрактальный object is established, and the area of the object (a projection of root system), the prisoner in the allocated area in which observes self-similarity. Dependence of total diameter of the roots destroyed by working body, on geometrical parametres of working body and an indicator фрактальной dimension D of root system is presented. The mathematical model of effort of destruction of roots in soil at stump puller stubs of the fruit-trees, considering physic-mechanical properties of roots, properties of soil, geometrical parametres of working body, the maintenance of roots in soil in the diameters, and also fractal dimension of root system is received.