Nonlinear flutter analysis of arbitrary functionally graded plates using Isogeometric approach

• Published in: Thin-walled structures 2023-01, Vol.182, p.110236, Article 110236
• Main Authors: Pasha Zanussi, V., Shahverdi, H., Khalafi, V., Navardi, M.M.
• Format: Article
• Language: English
• Subjects: Arbitrary functionally graded plates; First-order Shear Deformation Theory; Flutter; Isogeometric analysis; Nonlinear; Supersonic airflow
• ISSN: 0263-8231; 1879-3223
• DOI: 10.1016/j.tws.2022.110236

The main objective of the present study is to analyze the nonlinear aeroelastic behavior of Functionally Graded (FG) plates with arbitrary shapes using an isogeometric approach. Hence, the aeroelastic equations of such plates under simultaneous supersonic airflow and temperature gradient have been established using extended Hamilton’s Principle. The structural dynamics equations were derived using First-order Shear Deformation Theory (FSDT) and considering von Karman’s nonlinear strains. Also, the first-order Piston theory has been used to incorporate aerodynamic loads into aeroelastic equations. The material properties of the FG plate have been assumed to be temperature independent through the thickness and follow the linear rule of mixtures, and change according to the simple power-law distribution. Finally, the obtained equations have been discretized using Isogeometric Analysis (IGA). The natural frequencies and the flutter boundaries of the linear aeroelastic model have been obtained by eigenvalue analysis. Moreover, the post-flutter behavior plate of the FG plate has been conducted using Newton–Raphson and Newmark methods. The flutter and post-flutter behavior of the arbitrary shapes of the plate have been evaluated and compared with validated references. The effects of the shape and the boundary condition on such behaviors have been studied. •Post flutter analysis of supersonic panel using Isogeometric Approach (IGA).•Post-flutter analysis of plates with arbitrary shapes.