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Computer modeling of flutter of viscoelastic orthotropic plates in supersonic flow
Authors: Verlan A.F., Khudayarov B.A., Fayziboyev E.F., Yuldashev Z.U.
Number of views: 448
This paper considers the nonlinear flutter of viscoelastic orthotropic plates in supersonic flow. The equations of motion derived from the most general theory of plates Foppl-Karman in displacements, which satisfy the Kirchhoff hypothesis. Aerodynamic pressure is accounted for under the piston theory A.A. Ilyushin. Using the Bubnov - Galerkin method based on polynomial approximation of displacements, the problem is reduced to the study of a system of ordinary integro-differential equations (IDE), where the independent variable is time. The IDE is a numerical method based on quadrature formulas. The technique and algorithm for the numerical solution of integro-differential equations. The critical velocity of flutter of orthotropic plates in a gas stream.Computional experiment in task about flutter of viscoelastic plate, streamlined under arbitrary corner, in stream of gas. Tabl.: 1. Refs.: 10 titles.