The Definition of the Longitudinal Accelerations on Board the Ship According to the Energy Wave Criterion (EWC)

The article offers a solution to the current problem of determining the values of longitudinal accelerations acting on the ship when it encounters a wave. There is insufficient information on the values of this quantity in existing published works. In some IMO documents, the data obtained by research are given and proposed for calculating the strength of the means for securing the cargo on the ship. It became necessary to create a theoretical basis for calculations of this type and calculations related to the effect on the physiological state of the crew of these accelerations and ensuring the strength of ship structures. It is proposed to calculate the longitudinal accelerations using a new formula for calculating the longitudinal force. This formula is derived after analysing the expression for the Energy Wave Criterion (EWC), which is based on the ratio of the total wave energy to the vessel's kinetic energy. The total wave energy is calculated by representing the wave profile as a trochoid. The similarity of the Energy Wave Criterion and Newton's criterion was revealed. For different ratios of length and height of the wave, the values of longitudinal accelerations were calculated and a comparison of these values with the results obtained by research was carried out.