1 Correction to: Computational Mechanics https://doi.org/10.1007/s00466-021-02071-9

In the original publication, Eq. (17a) is incorrect. The correct equation is given here

$$ ({\mathbf{ab}})^{2} - {\mathbf{a}}^{2} {\mathbf{b}}^{2} = \beta {\mathbf{a}}^{2} (l\;\sin \;\theta )^{2} $$
(17a)

where \(\beta\) is a dimensionless parameter. Accordingly, Eqs. (18), (19), (21) and (24) are corrected as

$$ \gamma^{1,2} = \frac{1}{{\left| {\mathbf{a}} \right|}}\left( { - \frac{{\mathbf{a}}}{{\left| {\mathbf{a}} \right|}}{\mathbf{b}} \pm l\;\sin \;\theta \sqrt {1 + \beta } } \right) $$
(18)
$$ {\mathbf{u}}_{t + \Delta t}^{1,2} = {\mathbf{a}}\gamma + {\mathbf{b}} = {\mathbf{b}} + \frac{{\mathbf{a}}}{{\left| {\mathbf{a}} \right|}}\left( { - \frac{{\mathbf{a}}}{{\left| {\mathbf{a}} \right|}}{\mathbf{b}} \pm l\;\sin \;\theta \sqrt {1 + \beta } } \right) $$
(19)
$$ {\mathbf{u}}_{t + \Delta t} (i) = \pm l\;\sin \;\theta \sqrt {1 + \beta } $$
(21)
$$ {\mathbf{L}} = \pm l\;\sin \;\theta \sqrt {1 + \beta } \left[ {\begin{array}{*{20}c} 0 & 0 & \cdots & 1 & {\begin{array}{*{20}c} {\begin{array}{*{20}c} \cdots & 0 \\ \end{array} } & 0 \\ \end{array} } \\ \end{array} } \right]_{2n}^{T} $$
(24)

We have confirmed that the corrections do not change the results and conclusions presented in this article, because they have no influence on the amplification matrix \({\mathbf{A}}\) in Eq. (23).