## 5 Conclusions  
The most important item when indicating the mechanical properties of offshore elastomeric bearings is the shear modulus, but the experiment incurs a high cost due to a large capacity test equipment and a dedicated shear test device. As an alternative, a method for designing offshore elastomeric bearings through numerical simulation is proposed. In this study, the relationship between the experiment and the numerical simulation on the shear force of the bearing was analyzed to improve the accuracy of the numerical simulation. The conclusions are as follows:  
(1) In the experiment according to EN 1337-3 Annex F: Shear Modulus Test, 10 tests for the bearing specimen (800 \(\times\) 800 \(\times\) 200 mm) were performed with a shear strain of 0.77 (shear displacement of 100 mm). The measured average shear modulus of the bearing specimen is 0.707 MPa, which corresponds to a Shore A hardness of 50 + 5 grade with reference to EN 1337-3: Annex D.  
(2) In the numerical simulation, the Mooney-Rivlin (M-R) model is generally used for the hyperelastic materials, and there are three types of M-R models, such as 2P, 5P, and 9P based on the number of the terms in the series. The results of the compressive load-displacement from 2P and 5P M-R models are almost linear, and the difference between the two values is 2.23% on average, but in the case of 9P model, showing a difference of 11.83% from the 2P model. On the other hand, the shear-force displacement results obtained from the 5P model showed negligible difference with the 2P model, with an average error of 0.38%, and 9P showed an average error of 4.82%. In addition, the correlation coefficient (R\({}^{2}\)) for a regression model for the linear relationship between the experiment and the numerical simulation (for 2P M-R model) results is 0.99949, indicating a very good fit. Therefore, it can be seen that the nonlinear behavior model suitable for numerical simulation of marine elastomer bearings is the 2P M-R model.  
(3) In order to verify the analysis conditions suggested in this study for the numerical simulation, the shear force according to the horizontal displacement of the analytical model was obtained through numerical simulations at 60A and 70A as well as the hardness of the elastomer 50A. The shear modulus of the bearing through the numerical simulation (FEA) is 0.731 MPa (when shore hardness is 50A), 0.935 MPa (when 60A), and 1.165 MPa (when 70A). This indicates that the shear modulus of the bearing through the numerical simulation is corresponding to the values in EN 1337-3 Annex D: Shear Modulus Comments.  
(4) Therefore, it is confirmed that the analysis conditions suggested in this study for the numerical simulation of the elastomeric bearing are capable of reproducing the experimental results for the shear modulus.  
Conceptualization, D.H. and W.C.; methodology, D.H. and W.C.; software, D.H.; validation, D.H. and W.C.; formal analysis, D.H. and W.C.; investigation, D.H.; resources, D.H.; data curation, W.C.; writing--original draft preparation, D.H.; writing--review and editing, W.C.; visualization, D.H.; supervision, W.C.; project administration, D.H.; funding [PERSON], W.C. All authors have read and agreed to the published version of the manuscript.