Vol. 6, Issue 8, Part A (2020)

Abstract
The task about influence of a rod form on critical flutter speed pivotally fixed on the ends in a gas flow taking into account nonlinear dependences is considered. Problem definition and a method of a solution on a flutter of a viscoelastic rod taking into account physical and aerodynamic not linearities is given. The mathematical model of a task is constructed. By means of the method of Bubnov-Galyorkina based on polynomial approximation of deflections, the task comes down to a solution of a system of the nonlinear integral-differential equations like Voltaire. The numerical method based on use of quadrature formulas is applied to a solution of the received system, at weak singular kernel of Koltunov-Rzhanitsyn.