Abstract
We constructanonlinearmodelofthe mediumactiononarigidbodytakinginto account the dependence of the forcearm on the reducedangular velocityof the body.Inthis case, the moment of the action force itself is also a function of the angle of attack. As experimental data processing for the motion of homogeneous circular cylinders in water has shown, it is necessary to take these facts into account in modeling. Studying the model of interaction between the spatial pendulum and the medium, we found a new case of complete integrability in elementary functions. This allowed us to find several qualitative analogies between the motions of bodies that are free in the resisting environment and the oscilla- tions of bodies partially fixed in the homogeneous flow of incoming medium. DOI: 10.3103/S002565440703017X
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