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Non Linear Diagramics

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Panel flutter is a classical problem in the field of aeroelasticity which is studied by many researchers. This phenomenon will happen when the dynamic pressure of the plate increases to a value that the plate starts to oscillate which is called the critical dynamic pressure. This type of analysis cannot be captured by linear theories and only can be examined by nonlinear theories. The nonlinear limit cycle oscillation of supersonic panels has been considered by several authors. Among all studies in this field, the most important one, was the study of nonlinear oscillation of simply supported fluttering plates which was considered by Dowell 1,2. These works have been continued by considering the nonlinear flutter of doubly curved panels3, 4. …show more content…

Therefore, in order to overcome these disadvantages, functionally graded materials (FGMs) was proposed6, 7. The FGM materials are widely used in advanced air vehicle structures8 and received more attentions in recent aeroelastic studies. The nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates has been considered by Praveen and Reddy9. They showed that the response of the plates with material properties between those of ceramic and metal is not intermediate to the response of the ceramic and the metal plates and thus, the gradients in materials play an important role in determining the response of the FGM plates. Feldman and Aboudi10 investigated the buckling of FGM plates subjected to uniaxial loading. It is observed that by using the functionally graded materials, the buckling load improved as compared to the corresponding uniformly reinforced plates. The effect of thermal environment on the supersonic flutter behavior of functionally graded flat panels by using the finite element procedure has been considered by Prakash and Ganapathi11. They highlighted the influence of aerodynamic damping and thermal …show more content…

Liao and Sun16 investigated the flutter instability of stiffened and non-stiffened laminated composite plates and shells subjected to aerodynamic forces in supersonic flow by finite element method. It was concluded that the skew angle, lamination scheme, subtended angle, and number and position of the stiffeners affect the flutter instability of various plates and shells. The effect of stiffener size and the fiber orientation angle on the flutter boundary of the stiffened isotropic and anisotropic laminated panel has been considered by Lee and Lee17. Lee at al.18 studied the linear and nonlinear thermoelastic flutter of a stiffened composite panel in supersonic flow using FEM. They showed that the selection of a proper stiffening scheme results in great improvements of flutter characteristics of laminated panels without any weight penalty. Aeroelastic flutter of a stiffened laminated composite panel in supersonic flow has been considered by Zhao and Cao19. They developed a new analytical model to consider the effect of the stiffener on the plate behavior. This is done by considering the interaction between the panel and the stiffener as a pair of acting and reacting forces. Vibration and dynamic stability of stiffened plates subjected to in-plane harmonic edge loading has been studied by

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