**Author details**

**3.2 Vibrations of a ship hull in contact with water**

*Vertical displacement at the middle point in the bottom plate.*

**4. Conclusion**

**218**

**Figure 4.**

**Figure 5.**

*A ship hull reinforced with eight stiffeners.*

**Figure 4** shows a ship hull that is reinforced by eight beams with dimension 0*:*02*m* 0*:*02*m* along the junctions of their neural planes. The ship hull has the dimension of 6*m* 4*m* 2*:*4*m* and with thickness of 0.008 m. The bottom of the ship hull is in contact with water. About 1 N concentrated force is applied at the middle point in upper plate and the response gauge is set at middle point in the bottom plate. **Figure 5** shows the curves for the vertical displacement obtained by FEM and DSM, respectively. The truncation term N is set to 6 in DSM and the mesh size in the FEM is 0*:*2*m* 0*:*2*m*. It is indicated that satisfactory agreement can be found between the results from DSM and those from FEM, which implies that our proposed method can provide excellent numerical results for ship structures.

*Solid State Physics - Metastable, Spintronics Materials and Mechanics of Deformable…*

A DSM is proposed to address the dynamics of ship structures, which include three types of elements. First, a DSM formulation for both in-plane and bending

Xuewen Yin\*, Kuikui Zhong, Zitian Wei and Wenwei Wu National Key Laboratory on Ship Vibration and Noise, China Ship Scientific Research Center, Wuxi, China

\*Address all correspondence to: x.w.yin@cssrc.com.cn

© 2020 The Author(s). Licensee IntechOpen. This chapter is distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/ by/3.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

*Solid State Physics - Metastable, Spintronics Materials and Mechanics of Deformable…*
