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首页> 外文期刊>Applied Mathematical Modelling >Large deflections of tapered functionally graded beams subjected to end forces
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Large deflections of tapered functionally graded beams subjected to end forces

机译：渐缩功能梯度梁在受到端力作用下的大挠度

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摘要

The large deflections of tapered functionally graded beams subjected to end forces are studied by using the finite element method. The material properties of the beams are assumed to vary through the thickness direction according to a power law distribution. A first order shear deformable beam element employed the exact polynomials to interpolate the transverse displacement and rotation, is formulated in the context of the co-rotational approach. The large deflection response of the beams is computed by using the arc-length control algorithm in combination with the Newton-Raphson iterative method. The numerical results show that the formulated element is capable to assess accurately the response of the beams by using just several elements. A parametric study is given to examine the influence of the material non-homogeneity, taper ratio as well as the aspect ratio on the large deflection behaviour of the beams.
机译：利用有限元方法研究了渐缩功能梯度梁在受到端力作用下的大挠度。假定梁的材料特性根据幂律分布在厚度方向上发生变化。在同向旋转法的背景下，提出了采用精确多项式对横向位移和旋转进行插值的一阶剪切可变形梁单元。通过使用弧长控制算法结合牛顿-拉夫森迭代法来计算梁的大挠度响应。数值结果表明，所制定的单元仅使用几个单元就能够准确评估光束的响应。进行了参数研究，以检查材料的不均匀性，锥度比以及纵横比对梁大挠度行为的影响。

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