Математична модель двох зв’язаних елементів гнучкого зв’язку морської прив’язної системи

A mathematical model of two connected elements of flexible links (FL) has been developed. This model allows creating the algorithm for computation of the FL dynamics at substantial FL movements. The mathematical model of the marine lash system (MLS) allows solving the following problems: 1. Calculation of variations in the FL shape and tension forces in the process of maneuvering of the tugboat and the underwater vehicle taking into account the sea waves, underwater currents, wind forces affecting the tugboat, sea depth and its variation in a given water area, as well as the FL mass and elastic properties. 2. Calculation of the relative position of the tugboat and the underwater vehicle in the process of their maneuvering. 3. Calculation of the resonance conditions of the FL tension and the maximal FL loads for assessment of its strength in the process of maneuvering of the tugboat and the underwater vehicle. 4. Calculation of the MLS maneuvering conditions causing formation of loops on the FL. 5. Calculation of the MLS maneuvering conditions causing vibration of the high-drag flexible links.