Sympodial fractal structures: tree-inspired concept for biomimetic engineering design
نویسندگان
چکیده
In this work, the analysis of a tree-inspired fractal structure is presented. First, trajectories of points on branches of different hierarchy of a tree that oscillates freely are recorded in experiments. Then, the principle axes and ellipses of displacements are determined analytically for a sympodial fractal mechanical model. Modes of oscillations and their frequencies are found numerically for different hierarchy and for a constant and cheangable modulus of elasticity along the branches of different order.
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