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Generalized Kirchhoff equations for a deformable body moving in a weakly non-uniform flow field. (English) Zbl 0816.76009
We extend the classical formulation to account for both the presence of an imposed ambient nonuniform flow field and the effect of surface deformation of a nonrigid body. The flow inhomogeneity is assumed to be weak when compared against the size of the body. The corresponding expressions for the force and moment are given in a moving body-fixed coordinate system using the Lagally theorem. The newly derived system of nonlinear differential equations of motion is shown to possess a first integral. This can be interpreted as an energy-type conservation law and is a consequence of an anti-symmetry property of the coefficient matrix.

76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
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