为给航海模拟器提供可靠且适用性强的波浪中船舶垂荡纵摇运动数学模型，避免二维切片理论范畴内采用Frank源汇分布法不规则频率影响，基于多系数保角变换法对船舶横剖面进行高精度拟合，采用STF法对船舶横剖面水动力系数与波浪激励力进行积分，操纵运动方程则采用计及船、桨、舵相互作用的Abkowitz模型，实现操纵状态下规则波浪中船舶垂荡纵摇运动的数值预报。以傅汝德数为0.2航行的Mariner轮为仿真对象，当Mariner轮迎浪航行时，垂荡运动幅值响应因子的计算结果与试验结果的相对误差小于8.8%，纵摇运动幅值响应因子的计算结果与试验结果的相对误差小于12.9%，计算结果与试验结果的变化趋势一致；浪向角位于 ~  ，垂荡纵摇运动幅值计算结果关于  对称，垂荡运动幅值计算结果随着波长的增加趋于定值；当Mariner轮开展360°回转操纵，运动耗时3000s，计算机运行时间约为609.3s，满足航海模拟器实时性要求。对Mariner轮垂荡纵摇运动时历进行仿真,并与航海模拟器视景系统相结合。因此，本文所建立波浪中船舶垂荡纵摇运动数学模型能有效地应用到航海模拟器上。

To provide maritime simulator with the reliable and applicable ship heave and pitch motion mathematical model in waves, avoid the influence of irregular frequency of Frank source and sink distribution method within the two-dimensional strip theory, high precision fitting of ship’s transverse sections was carried out based on the multi-parameter conformal mapping method, the integration of the hydrodynamic coefficient and the wave exciting force of the ship's transverse sections was carried out by the STF(Salvesen-Tuck-Faltinsen) method,  the Abkowitz model was adopted for the maneuverability motion equations considering the interaction among ship, propeller and rudder, and the numerical prediction of the ship heave and pitch motion in regular waves under the maneuvering conditions can be realized. The Mariner vessel was used as the simulation case at a Froude number of 0.2: when the Mariner vessel sails in head waves, the relative errors between the calculated results and the experimental results is less than 8.8% for heave amplitude operators, and the relative errors between the calculated results and the test results is less than 12.9% for pitch amplitude operators, and the calculated results and the experimental results show the same variation trend; when the wave angle range is  ~  ，the calculated results of the heave and pitch motion amplitude are symmetrical with respect to the wave angle of   , the calculated results of heave motion amplitude tend to be constant with the increase of wavelength; when the Mariner vessel carries out a   turning circle in regular waves, the time for computer operation is 609.3 seconds when carrying out turning maneuvers for 3000 seconds, which can satisfy the real-time requirements of maritime simulator. The ship heave and pitch motion mathematical model is applied to Mariner vessel and connected to the visual system of maritime simulator, which is proved effective and applicable to the maritime simulator.