Supersonic Flutter Analysis of Functionally Graded Fiber Orientation Plates with Elastic Restraints
Zhu Su, Lifeng Wang and Guoyong Jin
Abstract: This paper deals with supersonic flutter problems of functionally graded fiber orientation plates subjected to elastic restraints. Here, asymmetric and symmetric fiber orientation distributions through thickness of plates are considered. The first order shear deformation plate theory and linear piston theory are adopted respectively for structural and aerodynamic models. Then, the total energy functional of plates is derived using a generalized variational method combined with penalty function method which is introduced to transform the conditional extremum problem to non-conditional extremum problem. With the help of displacement and rotation components in the form of Chebyshev orthogonal polynomial expansions, the exact solution can be obtained. Numerical examples are given to validate the effective of the current formulation. Parametric studies are conducted to illustrate the effects of fiber orientation distributions, gradient indices, and boundary condition as well as flow angles on the supersonic flutter behavior of plates.
原文链接：https://arc.aiaa.org/doi/10.2514/1.J057798
