doi: 10.52899/24141437_2026_01_69
UDK: 629.584

Study of Nonlinear Forces Arising in the Motion of Underwater Vehicles in Waves

Семенова В. Ю., Жукова А. М., Капонен В. А.
Article language:
Citation Link: Semenova VYu, Zhukova AM, Kaponen VA. Study of Nonlinear Forces Arising in the Motion of Underwater Vehicles in Waves. Transactions of the Saint Petersburg State Marine Technical University. 2026;5(1):69–83. DOI: 10.52899/24141437_2026_01_69 EDN: QIKOIP

Annotation

BACKGROUND: Various time-dependent external forces have a substantial effect on the changes of an underwater vehicle moving in a water environment. Improving the accuracy of calculations of the kinematic characteristics of its oscillatory motion requires taking into account higher-order nonlinear hydrodynamic forces, the influence of which has been confirmed by experimental data and operational practice. Existing calculation methods have substantial limitations associated with the simplified treatment of the second-order potential and the difficulties in describing nonlinear boundary conditions. The relevance of this study is due to the absence of calculation methods for estimating the oscillation parameters of an underwater vehicle, which poses a considerable problem in the design and operation of such vehicles. AIM: To develop a method for calculating second-order nonlinear forces for several underwater vehicles and the corresponding motion amplitudes under bichromatic wave excitation. METHODS: The two-dimensional nonlinear problem of calculating motion characteristics was solved using the smallparameter method and integral equation techniques. The calculations were performed using a program written in FORTRAN 90 programming language. RESULTS: This paper presents the results of a study of second-order nonlinear forces associated with difference- and sumfrequency components arising during the oscillatory motion of an underwater vehicle. CONCLUSION: The components of second-order nonlinear forces and moments associated with both the sum and the difference of frequencies increase many times over as the object submergence depth decreases. Keywords: nonlinear forces; small-parameter method; underwater vehicle; nonlinear motion in waves; second-order nonlinear forces; FORTRAN programming language.

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