## 1 Introduction  
Owing to the increasing size and speed of ships to ensure economic efficiency, the hydroelastic phenomena of the hull have emerged as an important factor to be considered in the evaluation of strength during the design stage of current ship building procedures. Hull structural vibrations, such as springing due to resonance with waves, are more likely to occur in frequency bands corresponding to the high energy of ocean waves. Accordingly, solving problems involving fluid-structure interaction on the hull is becoming increasingly important for hull structural safety. These problems need to be considered during design evaluation. In particular, the need for an efficient analysis and evaluation procedure to be applied to the fatigue strength design of the hull has been gaining attention. Research on the springing response in ships began with numerical approaches. [PERSON] et al. [1] performed dynamic calculations using beam theory, such as that proposed by [PERSON], [PERSON], and [PERSON], to analyze the behavior of an open thin structure, by comparing the experimental results on uniform, cross-section beams, and it was determined that the [PERSON] and [PERSON] beam theory proved to produce relatively efficient results. [PERSON] et al. [2] analyzed the hydroelastic phenomena of vessels using the Euler and Timoshenko beam theory based on the 3D source method. [PERSON] et al. [3] conducted systematic research on numerical method comparisons, model experiments, and real ship measurements. [PERSON] et al. [4] evaluated fatigue strength by considering the linear springing effect due to wave loads at the hatch corner of large container ships. [PERSON] et al. [5] calculated container ship behavior using the fluid-structural interaction method based on the 1D beam FE model and Rankine panel methods. [PERSON] et al. [6; 7] and [PERSON] et al. [8] also evaluated fatigue strength by considering the springing effect of ultra-large container ships. [PERSON] and [PERSON]. [9; 10] and [PERSON], [PERSON] et al. [11; 12] developed an evaluation method for ultimate capacity by considering the whipping phenomena of very large container ships. In addition, studies of nonlinear hydroelastic effects such as the second order springing and whipping due to slamming impact were also being studied steadily. [PERSON] and [PERSON] [13] conducted a study on nonlinear springing using the second-order strip theory in the wave field, and [PERSON] and [PERSON] [14] and [PERSON] and [PERSON] [15] solved the second-order hydrodynamic force and response using the high-order boundary element method (HOBEM). [PERSON], [PERSON] et al. [16] and [PERSON] and [PERSON] [17] evaluated fatigue damage by considering the nonlinear springing effect of a very large ore carrier. Following this, research for solving the nonlinear hydroelastic problem has been steadily carried out, but it is very impractical to reflect the nonlinear effect in the design stage due to the time-consuming process. Therefore, in order to effectively reflect the analysis results in the design stage, it is most reasonable to calculate the fatigue damage by considering the hydroelastic effect based on spectral fatigue analysis using linear stochastic models, which are currently those most widely used in global shipyards. In this study, we established a fatigue damage evaluation method based on a spectral analysis approach for linear springing effects on the hatch corner areas of a 15,000-TEU container ship. First, we applied a conventional hydroelastic analysis method to the 1D beam model. When applying this analysis method to a 1D beam model, the stress transfer function cannot be directly calculated at the hot spot points. Therefore, we propose a method to calculate the stress transfer function at the hot spot point using only the hull girder load calculated from the 1D beam.