曲げモーメントの作用する薄板はりの大たわみ変形解析

概要

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Metal strips (mechanical spring) and multipurpose plastics are widely used as flexible linkage devices in engineering designs. The folding of thin elastic sheets (paper, sheet metal, cloth, carpeting, rubber, etc. ) is extremely important in manufacturing processes. In such elastic elements, a fairly large deflection characteristic is observed, but does not exceed the elastic limit of the materials. This property is of both analytical and technological interest. It is indispensable to analyze the large deflection behavior to achieve high accuracy and reliability of the mechanical components. In this report, we investigate the nonlinear large-deflection problem of a simply supported flexible beam subjected to bending moment at one edge, taking into account the effect of edge friction, and present the analytical formulae for arc length, vertical and horizontal displacements, bending moment, curvature and bending stress. Moreover, a large-flexural-bending test is performed on a thin PVC plate in order to assess the adequacy of the theoretical formulation. In addition, linear analyses are performed for comparison with large-deflection theoretical analyses. Experimental data agree very closely with theoretical results. Therefore, the nonlinear large-deflection theory proposed here is of direct relevance to the analysis and design of flexible components.
一般社団法人日本機械学会の論文
1994-02-25