A simulation model for the flexural dynamics of a slender ship undergoing heave and pitch in regular waves is presented. The heave and pitch motions are found from the strip theory of Gerritsma and Beukelman [1] which is known to be experimentally validated. It is assumed that the ship structure is sufficiently stiff so that bending deformations do not significantly alter the wave field and hence the hydrodynamic loads determined from the strip theory may be used as inputs to the flexural model. The flexural dynamics is modeled by applying the hydrodynamic loads to a lumped-mass beam model and the equations of motion are formulated using the methods of Kane and Levinson [2]. The flexural model can capture large deformation behavior and is tested by demonstrating convergence to a known analytic solution. The model is easily implemented and may be used to evaluate time histories of bending moment responses to waves as well as to slamming events if the slamming load is known or estimated. Some typical results are presented.

提出了细长船在规则波浪中起伏和俯仰的挠曲动力学仿真模型。升沉运动和俯仰运动是从Gerritsma和Beukelman [1]的条带理论中发现的，该理论已通过实验验证。假定船的结构足够坚硬，以至于弯曲变形不会显着改变波场，因此可以将根据带状理论确定的流体动力载荷用作挠度模型的输入。通过将流体动力载荷施加到集总质量梁模型上来建模挠曲动力学，并使用Kane和Levinson [2]的方法来制定运动方程。挠曲模型可以捕获较大的变形行为，并通过证明与已知解析解的收敛性进行测试。该模型易于实施，并且可以用于评估弯矩对波浪以及砰击事件的弯矩响应的时间历史（如果已知或估计了猛击载荷）。提出了一些典型的结果。