Article

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Title

Investigation of the occurrence of flutter in isotropic and orthotropic plates with different boundary conditions and skew angles

Authors

¹N.S. Azikov, ²A.V. Zinin, ³Yu.V. Gaidarzhi

Organizations

¹Mechanical Engineering Research Institute of the Russian Academy of Sciences
Moscow, The Russian Federation
²Moscow Aviation Institute (National Research University)
Moscow, The Russian Federation
³Tops Business Integrator LLC
Moscow,The Russian Federation

Abstract

The purpose of the research: to determine the possibility of a panel flutter in the range of average supersonic speeds in a multilayer composite plate with the shape of a rectangle or parallelogram and taking into account the direction of action of the velocity flow relative to its longitudinal edges. The possibility of panel flutter occurrence in the range of average supersonic speeds (1.4<M<2) has been investigated. The influence of boundary conditions and bevel angles of isotropic and orthotropic plates on the critical flutter velocity is studied. The basic relations (physical and geometric) for a multilayer composite plate with symmetrical laying of layers in thickness in an oblique coordinate system associated with the contour geometry are recorded. Since the geometric boundary conditions on each edge of the plate may be different, well-known “beam” functions are used to approximate the shape of the deflection for each the coordinate of the oblique coordinate system. The initial problem of the supersonic gas flow around the plate is considered to be non-stationary. But since further there is a need for several natural oscillation frequencies, the latter are found from the condition of the minimum of the total potential energy of the system. The solution of the non-stationary problem is based on several natural oscillation frequencies at fixed values of the gas flow velocity flowing around the plate. A homogeneous system of equations is obtained using the Bubnov-Galerkin method for deflection, represented as a series composed of proper shapes. The latter are selected from the boundary conditions. The critical parameter of the system is the condition that the real part of the complex conjugate eigenvalues is equal to zero. The occurrence of flutter is associated with a change in the sign of the real part of the eigenvalues, which are found from the condition of non-triviality of solving a homogeneous system of equations. Critical flutter velocities and oscillation frequencies are found for the selected geometric dimensions of the plates and the mechanical characteristics of the material. The analysis of the results was carried out. It is noted that in the initial formulation of the problem, a panel flutter occurs in the middle range of supersonic speeds.

Keywords

skew plates, boundary conditions, natural oscillation frequencies, complex conjugate eigenvalues, plate flutter

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For citing this article

Azikov N.S., Zinin A.V., Gaidarzhi Yu.V. Investigation of the occurrence of flutter in isotropic and orthotropic plates with different boundary conditions and skew angles // Spacecrafts & Technologies, 2024, vol. 8, no. 3, pp. 156-169.

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