FEA simulation of the biomechanical structure overload in the university campus planting

Abstract

FEM investigation of the branch collapse is provided for the huge healthy chestnut tree. Strong wind gust (24 m/s) is assumed. Thus, simulation has as engineering so methodic value to improve the FEM-teaching of students. The geometry was recovered by the photos and sketches. It includes roots, trunk, branch and conditional crown. Static simulation is provided both in the linear formulation and in the geometrically nonlinear one. Branch under109 goes bending with a moderate portion of the twisting. Near uniform stress dispensation is stated along the branch. There are no stress concentrators at all. The trunk-branch junction is steady enough and self-optimized. The branch has grown with the implementation of the idea of „equal-strength console”. Transforming of the branch section provides constant stress level along the branch. Collapse is caused by a severe accidental wind gust. Work stresses have exceeded twice the allowable level (16 MPa) along the main part of the branch. The tree should be taken as an example of an effective bionic design for the load-bearing system. Simulation confirms the effect of self-reinforcing during tree growth. Tree simulation may be methodologically useful. It is understandable and interesting for students.