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Analytical and experimental evaluation of stresses in elastic annuli subjected to three-point loading on the outer surface

机译：外表面承受三点载荷的弹性环中应力的分析和实验评估

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摘要

An analytical solution based on the implementation of the Fourier series is presented for the full-field analysis of stresses in an annular plate subjected to external force loadings uniformly distributed over three small segments of the outer periphery when two of those segments are symmetrical about the diameter passing through the center of the third segment. This problem refers to an annular plate which rests upon two equidistant platens when compressed by a vertical locally-distributed force. The obtained theoretical results are compared with a series of photoelastic experiments for different distances between the loaded segments of the rim. The feasibility of the mathematical model for the mixed-type boundary conditions is analyzed by comparison of the experimental results, the theoretical analysis, and FEM numerical simulation. (C) 2019 Elsevier Inc. All rights reserved.
机译：提出了一种基于傅里叶级数实现的解析解决方案，用于对环形板中的应力进行全场分析，当外力载荷中的两个对称于直径对称时，该外力载荷均匀地分布在外围的三个小片段上通过第三部分的中心。这个问题涉及环形板，当通过垂直的局部分布力压缩时，该环形板搁置在两个等距的压板上。对于轮辋的加载段之间的不同距离，将获得的理论结果与一系列光弹性实验进行比较。通过比较实验结果，理论分析和有限元数值模拟，分析了混合模型边界条件数学模型的可行性。 （C）2019 Elsevier Inc.保留所有权利。

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