The stream flow scheme for investigating the equilibrium forms of elastic plates in a stream of fluid and problems of optimization: PMM vol. 43, no. 1, 1979 pp. 83–90

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.