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首页> 外文期刊>International Journal of Solids and Structures >Stiffness of a curved beam subjected to axial load and large displacements
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Stiffness of a curved beam subjected to axial load and large displacements

机译：承受轴向载荷和大位移的弯曲梁的刚度

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摘要

The deformation of an inextensible, curved elastic beam subjected to axial load is studied using the Bernouilli-Euler hypothesis and including the effect of large displacements. The axial displacement of the beam was expressed as a function of the axial load in terms of two incomplete elliptic integrals and contained a singularity as the beam was fully straightened. The nature of the singularity was determined and the load-axial displacement curves were accurately fitted to a rational expression with the same type of singularity, which provides an analytical expression for the evolution of the beam stiffness during deformation. Another analytical expression (although implicit) was obtained in the case of extensible beams, where the elongation due to normal stresses cannot be neglected. These results are relevant to the simulation of the elastic deformation of non-woven felts. (C) 2004 Elsevier Ltd. All rights reserved.
机译：使用Bernouilli-Euler假设研究了不可拉伸的弯曲弹性梁在轴向载荷下的变形，其中包括大位移的影响。梁的轴向位移用两个不完整的椭圆形积分表示为轴向载荷的函数，并且在梁完全拉直时具有奇异性。确定了奇异性的性质，并将载荷-轴向位移曲线精确拟合为具有相同类型奇异性的有理表达式，这为梁在变形过程中的刚度演化提供了解析表达式。在可伸缩梁的情况下，获得了另一个分析表达式（尽管是隐式的），在该表达式中，不能忽略由于法向应力引起的伸长。这些结果与非织造毡的弹性变形的模拟有关。 （C）2004 Elsevier Ltd.保留所有权利。

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