# 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%

## Published

## How to Cite

*MODERN PROBLEMS AND PROSPECTS OF APPLIED MATHEMATICS*,

*1*(01). Retrieved from https://ojs.qarshidu.uz/index.php/mp/article/view/407