The time derivative of acceleration is called a jerk, which is an important property to evaluate ride comfort in elevators, cars, and so on. Likewise, evaluation of motion sickness or ride comfort on a vessel could be achieved by this jerk property in the future. In this paper, we utilize the PDF Line Integral Method (PLIM), which was newly contrived in our previous research, for calculating not only roll angular acceleration but also roll angular jerk. The derivation of this theory, as well as numerical comparison with Monte Carlo simulation (MCS) results, are presented. Although the utilized restoring curve (GZ curve) exhibits strong asymmetricity, the proposed method successfully calculates roll angular jerk for such a condition. Since roll angular jerk is a high-order differential property, the biggest advantage of PLIM is that it only requires the information of roll and roll rate joint probability density function (PDF) to provide the PDF of jerk.

加速度的时间导数称为加加速度，它是评估电梯，轿厢等的乘坐舒适性的重要属性。同样，将来可能会通过这种可调节的特性来评估船舶的晕动病或乘坐舒适性。在本文中，我们利用了我们先前研究中新设计的PDF线积分方法（PLIM），不仅可以计算侧倾角加速度，还可以计算侧倾角加速度。提出了该理论的推导以及与蒙特卡洛模拟（MCS）结果的数值比较。尽管所利用的恢复曲线（GZ曲线）显示出很强的不对称性，但该方法成功地计算出了这种情况下的侧倾角晃动。由于侧倾角晃动是高阶微分特性，