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Analytical Solutions of Functionally Graded Curved Beams under an Arbitrarily Directed Single Force

机译:任意指向单力下功能渐变弯曲梁的分析解

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摘要

A functionally graded curved beam subjected to a shear tension force as well as a concentrated force at the free end is solved based on the inverse method, and a general two-dimensional solution is presented. The explicit expressions are derived by assuming that the elastic properties within curved beams vary in the radial direction according to a power law, i.e., E = E(0)r(n), but are constant across the depth. After degenerating it into the isotropic homogeneous elastic cases, the results are in good consistency with existing analytical solutions. The stresses and displacements are firstly observed in different forms in terms of the different power function exponent n. These results will be useful as a guide for designing devices or as benchmark to assess other approximate methodologies.
机译:基于逆方法,解决了经受剪切张力以及在自由端处的浓缩力的功能渐变弯曲光束,并且呈现了一般的二维解决方案。通过假设弯光梁内的弹性特性根据权力法,即e = e(0)R(n),但是横跨深度恒定,通过假设弯曲光束内的弹性性质变化。在将其退化为各向同性均匀弹性壳体后,结果与现有的分析解决方案良好。在不同的功率函数指数n的方面以不同形式观察到应力和位移。这些结果将是设计设备或基准以评估其他近似方法的指南。

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  • 来源
    《Mathematical Problems in Engineering》 |2019年第5期|4925379.1-4925379.11|共11页
  • 作者单位

    China Agr Univ Coll Sci Beijing 100083 Peoples R China|Columbia Univ Dept Civil Engn & Engn Mech New York NY 10027 USA;

    China Agr Univ Coll Sci Beijing 100083 Peoples R China;

    China Agr Univ Coll Sci Beijing 100083 Peoples R China;

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