Modeling of oscillatory processes of viscoelastic plates in a gas flow
Modeling of oscillatory processes of viscoelastic plates in a gas flow
Abstract
Let us consider the problem of vibrations of a flexible hereditarily deformable rectangular plate moving in
a gas at a high supersonic speed. A plate with sides a and b is flown past on one side by a gas flow. We
assume that the flow direction is parallel to side a. We assume that the plate is compressed in the same
direction by constant forces 0. We take that the deflections are small compared to the thickness of the
plate, and we solve the problem in a linear statement. Taking a linear expression for the aerodynamic
pressure and not taking damping into account, we obtain the equation of motion for a plate with the
following finite ratio:
References
On the basis of the software package developed, practically important problems of flutter of a plate were solved and studied, taking into account the viscoelastic properties of the material. The critical flutter speed was determined in a wide range of changes in various parameters of the plates. It was shown that the viscosity parameter A affects not only the vibrations of viscoelastic systems but also the critical flutter speed. It was determined that an account for the viscoelastic properties of the plate material leads to a decrease in the critical flutter speed by 40–60%
