Bending and oscillations of plates

The author suggests a variant of the linear theory of thin plates, based on the assumption that the integral equations of dynamic equilibrium can be written for any volume in the undeformed state. Rigorous study of these equations, after the introduction of the concepts of kinematically equivalent displacements, are separated initial-boundary problems of stress-strain and bending. The attention is focused on the problem of bending. A theorem on the uniqueness of the solution is proved. Examples of test problems of bending, natural oscillations and panel flutter are given. A substantial dependence on the Poisson's ratio is revealed.

kinematically equivalent displacement, problem in terms of displacements, general solution, uniqueness of solution, test problems of bending, oscillations, flutter, the effect of Poisson's ratio