Abstract
The problem of determining nontrivial equilibrium forms of thin elastic plates in a stream of perfect fluid is considered. The scheme of stream flow with an infinite cavity (the Kirkhoff scheme) is used for determining hydrodynamic forces acting on a curved plate. The ensuing boundary value problem is analyzed, and it is shown that the operator of the problem is self-conjugate and positive definite. An analytic solution of the outer hydrodynamic problem is derived and the fluid reaction on the plate determined.
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