Correction

This article refers to:

Investigation on semi-empirical coefficients and exponents of a resistance prediction method for ships sailing ahead in level ice

Article title: Investigation on semi-empirical coefficients and exponents of a resistance prediction method for ships sailing ahead in level ice

Authors: Myland, D. & Ehlers, S.

Journal: Ships and Offshore Structures

DOI: https://doi.org/10.1080/17445302.2018.1564535

When the article was first published online, there were few errors in the text that have now been corrected in the original article.

Nomenclature
RBi	=	bending resistance at i-th longitudinal section (kN)
αi	=	average waterline angle at i-th longitudinal section (°)
ψi	=	average normal angle at i-th longitudinal section (°)

2.3. Refined Lindqvist approach

The subdivision of the bending resistance into four longitudinal sections per ship’s half.(9) $R_{B1}=\left(\frac{27}{64}\right){\sigma }_f\left(\frac{{\sigma }_f}{\tau }\right)\frac{B}{4}\frac{h_{ice}^{1.5}}{{\left(E/\left(12\ast \left(1-v^2\right)\ast g\ast {\rho }_w\right)\right)}^{0.5}}\left(\tan \left({\psi }_1\right)+\mu \frac{\cos \left({\varphi }_1\right)}{\cos \left({\psi }_1\right)\sin \left({\alpha }_1\right)}\right)\left(1+\frac{1}{\cos \left({\psi }_1\right)}\right)$(9) (10) $R_{B2}=\left(\frac{27}{64}\right){\sigma }_f\left(\frac{{\sigma }_f}{\tau }\right)\frac{B}{4}\frac{h_{ice}^{1.5}}{{\left(E/\left(12\ast \left(1-v^2\right)\ast g\ast {\rho }_w\right)\right)}^{0.5}}\left(\tan \left({\psi }_2\right)+\mu \frac{\cos \left({\varphi }_2\right)}{\cos \left({\psi }_2\right)\sin \left({\alpha }_2\right)}\right)\left(1+\frac{1}{\cos \left({\psi }_2\right)}\right)$(10) (11) $R_{B3}=\left(\frac{27}{64}\right){\sigma }_f\left(\frac{{\sigma }_f}{\tau }\right)\frac{B}{4}\frac{h_{ice}^{1.5}}{{\left(E/\left(12\ast \left(1-v^2\right)\ast g\ast {\rho }_w\right)\right)}^{0.5}}\left(\tan \left({\psi }_3\right)+\mu \frac{\cos \left({\varphi }_3\right)}{\cos \left({\psi }_3\right)\sin \left({\alpha }_3\right)}\right)\left(1+\frac{1}{\cos \left({\psi }_3\right)}\right)$(11) (12) $R_{B4}=\left(\frac{27}{64}\right){\sigma }_f\left(\frac{{\sigma }_f}{\tau }\right)\frac{B}{4}\frac{h_{ice}^{1.5}}{{\left(E/\left(12\ast \left(1-v^2\right)\ast g\ast {\rho }_w\right)\right)}^{0.5}}\left(\tan \left({\psi }_4\right)+\mu \frac{\cos \left({\varphi }_4\right)}{\cos \left({\psi }_4\right)\sin \left({\alpha }_4\right)}\right)\left(1+\frac{1}{\cos \left({\psi }_4\right)}\right)$(12) where R_Bi is the bending resistance at the i-th longitudinal section.

3.2. Constrains

According to Myland and Ehlers (2018) the breaking resistance amounts about 30–60% of the total resistance in ice for the investigated ship type.