Abstract:

The problem of damping and basis dynamics of viscous incompressible liquid is considered under interaction with an elastic stator. It may take the form of an elastic plate of a beam-stripe type A vibrator may be elastic or absolutely solid. This problem contains the systems “liquid – elastic body” movement sources. To reveal dynamic characteristics of these systems, it is necessary to solve the connected problems of an elastic plate and viscous incompressible liquid dynamics. The factor, making the problem simpler, is a small thickness of liquid layer in comparison with a linear size of the plate, as in lubrication theory. The problem under consideration contains this supposition about a small size of stator’s movements amplitude in comparison with liquid layer thickness, but not with a plates thickness. Under these conditions hydrodynamics equations become linear. The elastic elements dynamics equations remain non-liner, if they were such initially. If it is not possible to find the exact solution, the iteration method for solving the lubrication theory hydrodynamics equations applied.

Keywords: viscous liquid, elastic plates, oscillations, waves