In this work, two geometrically non-linear beam models which use different strain measures are investigated in problems with large rotations. The first is the Simo–Reissner model. The second is the Green–Lagrange model. The novel aspects of this work are: (1) the 1-D formulation of the second beam model which uses the Green–Lagrange strain tensor components so that is comparable to the Simo–Reissner beam model, (2) the demonstration of the numerical behaviour of this 1-D model after incorporating an invariant update procedure described on the rotation manifold $SO\left(3\right)$, and (3) the comparison of the different strain measures of the two beam models through the use of three numerical examples.

在这项工作中，研究了在旋转较大的问题中使用不同应变措施的两个几何非线性梁模型。第一个是Simo–Reissner模型。第二个是格林-拉格朗日模型。这项工作的新颖之处在于：（1）使用格林-拉格朗日应变张量分量的第二个梁模型的一维公式，可以与Simo-Reissner梁模型相提并论，（2）数值模拟合并了旋转歧管上描述的不变更新程序后，此一维模型的行为$\mathrm{小号}Ø（3）$（3）通过使用三个数值示例比较两个梁模型的不同应变度量。