The publication of this article unfortunately contained mistakes due to publisher's error. Please see the corrected parts below:
$$ \begin{aligned} {\mathbf{A}}_{{{\mathbf{st}}}} & = \left[ {\begin{array}{*{20}c} {{\mathbf{0}}_{6} } & {{\mathbf{I}}_{6} } \\ { - {\mathbf{M}}^{ - 1} \cdot {\mathbf{C}}} & { - {\mathbf{M}}^{ - 1} \cdot \left( {{\mathbf{D}} + {\mathbf{G}}} \right)} \\ \end{array} } \right];\quad {\mathbf{B}}_{{{\mathbf{st}}}} = \left[ {\begin{array}{*{20}c} {{\mathbf{0}}_{6} } \\ {{\mathbf{M}}^{ - 1} } \\ \end{array} } \right] \\ {\mathbf{C}}_{{{\mathbf{st}}}} & = \left[ {\begin{array}{*{20}c} {{\mathbf{I}}_{6} } & {{\mathbf{0}}_{6} } \\ {{\mathbf{0}}_{6} } & {{\mathbf{I}}_{6} } \\ { - {\mathbf{M}}^{ - 1} \cdot {\mathbf{C}}} & { - {\mathbf{M}}^{ - 1} \cdot \left( {{\mathbf{D}} + {\mathbf{G}}} \right)} \\ \end{array} } \right];\quad {\mathbf{D}}_{{{\mathbf{st}}}} = \left[ {\begin{array}{*{20}c} {{\mathbf{0}}_{6} } \\ {{\mathbf{0}}_{6} } \\ {{\mathbf{M}}^{ - 1} } \\ \end{array} } \right] \\ \end{aligned} $$
(21)
to set to the zero vector \({\mathbf{E}}\left( s \right) = {\mathbf{0}}\). Finally, the poles can be
$$ \begin{aligned} {\mathbf{G}}_{{{{\varvec{\upgamma}}},{{\varvec{\upkappa}}}}} \left( {j\omega } \right) & = \frac{{{\mathbf{Y}}_{{{{\varvec{\upgamma}}},{{\varvec{\upkappa}}}}} \left( {j\omega } \right)}}{{E_{{\upkappa }} \left( {j\omega } \right)}} = {\mathbf{G}}_{{{\varvec{\upgamma}}}} \left( {j\omega } \right) \cdot {\mathbf{P}}_{{{\mathbf{e}},{{\varvec{\upkappa}}}}} \\ & = \left[ {{\mathbf{I}}_{18} + \left( {{\mathbf{C}}_{{{\mathbf{st}}}} \cdot \left( {{\mathbf{I}}_{12} \cdot j\omega - {\mathbf{A}}_{{{\mathbf{st}}}} } \right)^{ - 1} \cdot {\mathbf{B}}_{{{\mathbf{st}}}} + {\mathbf{D}}_{{{\mathbf{st}}}} } \right) \cdot {\mathbf{T}}_{{{\mathbf{st}},{{\varvec{\upgamma}}}}} \left( {j\omega } \right)} \right]^{ - 1} \\ & \quad \cdot \left[ {{\mathbf{C}}_{{{\mathbf{st}}}} \cdot \left( {{\mathbf{I}}_{12} \cdot j\omega - {\mathbf{A}}_{{{\mathbf{st}}}} } \right)^{ - 1} \cdot {\mathbf{B}}_{{{\mathbf{st}}}} + {\mathbf{D}}_{{{\mathbf{st}}}} } \right] \cdot {\mathbf{P}}_{{{\mathbf{e}},{{\varvec{\upkappa}}}}} \\ \end{aligned} $$
(41)
$$ {\tilde{\mathbf{M}}} \cdot {\mathbf{\ddot{q}}} + \left( {{\tilde{\mathbf{D}}} + {\mathbf{G}}} \right) \cdot {\dot{\mathbf{q}}} + {\tilde{\mathbf{C}}} \cdot {\mathbf{q}} = {\mathbf{0}} $$
(53)
$$ \left[ {{\tilde{\mathbf{M}}} \cdot \lambda^{2} + \left( {{\tilde{\mathbf{D}}} + {\mathbf{G}}} \right) \cdot \lambda + {\tilde{\mathbf{C}}}} \right] \cdot {\hat{\mathbf{q}}} = {\mathbf{0}} $$
(55)
sources of excitation and the blocks \(v\_zbD\), \(v\_zbN\), \(v\_ybD\).
with \({\mathbf{T}}_{{\mathbf{z}}} \left( s \right),{\mathbf{T}}_{{\mathbf{v}}} \left( s \right),{\mathbf{T}}_{{\mathbf{a}}} \left( s \right) \in \user2{ }{\mathbb{C}}^{6 \times 6}\) and \({\mathbf{T}}_{0} \left( s \right) = {\mathbf{0}}_{6} \in \user2{ }{\mathbb{R}}^{6 \times 6}\).
set to the zero vector \({\mathbf{E}}\left( s \right) = {\mathbf{0}}\).
$$ \left[ {{\mathbf{I}}_{12} \cdot s - {\mathbf{A}}_{{{\mathbf{st}}}} + {\mathbf{B}}_{{{\mathbf{st}}}} \cdot {\mathbf{T}}_{{{\mathbf{st}},{{\varvec{\upgamma}}}}} \cdot \left[ {{\mathbf{I}}_{18} + {\mathbf{D}}_{{{\mathbf{st}}}} \cdot {\mathbf{T}}_{{{\mathbf{st}},{{\varvec{\upgamma}}}}} } \right]^{ - 1} \cdot {\mathbf{C}}_{{{\mathbf{st}}}} } \right] \cdot {\mathbf{X}}\left( s \right) = {\mathbf{0}} $$
(136)
The original article has been corrected.
