In Searching of Trees Natural Vibration Frequency Based on Granular Particles Interactions and Vibration

Inspiring by Leonardo's formula regarding cross section of trees from trunk to branches, Eloy (2011) found that Leonardo's exponent is between 1.8 and 2.3, instead of exact 2. In this work another aspect is investigated, tree branches natural frequency. It is already usual that in a nearly no-windy condition, some branches vibrated alternatively due to wind movement passing their leaves. This could explain why in a very windy situation a tree may survive, while a power line construction not. It could be addressed to their natural vibration frequency. A tree model based on granular particle interaction in Eloy's parameter ranges is developed. Vibration is induced to some parts to investigate which other part will be also vibrated. Few branches trees and many ones give different responses. From the results prevention may be designed to conserve our forestry resources.Proceedings of International Seminar on Biological Sciences (ISBS 2015), Eds. P. Paton et al., Medan, Indonesia, 17 October 2015, pp. 113-122 | Preprint http://vixra.org/abs/1511.010