三角形断面を有するシュロ枝のねじり特性 : (二層積層棒モデル)

概要

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The cross section of main frame structure is preferable to be a cylinder for plants and animals in order to adapt to their environment. There are some exceptionals. One of those is a hemp palm branch. It has an up side-down isosceles triangular shape. Since the hemp palm branch has unusually large leaves and a relatively slender branch stem as compared with other trees, the branches must be subjected a large twisting moment. A triangular cross section reinfored by a functionally graded distribution of fibers must be a solution for that problem, which can reduce the induced stress. This paper presents a torsional analysis of a triangular bar based on the 2-layerd model. Deriving an analytic solution using conformal mapping and complex warping function, the stress distributions and torque were computed. The two layerd bar reduced the maximum shear stress as compared with the one of a homogeneous bar.
2000-09-25