‎ Nonlinear Flutter Analysis of Porous Functionally Graded Plate in ‎Yawed Hypersonic Flow

Document Type : Research Article

Authors

1 Department of Aerospace Engineering, Shahid Sattari Aeronautical University of Science and ‎Technology, Tehran, Iran

2 Department of Aerospace Engineering, Shahid Sattari Aeronautical University of Science and ‎Technology, Tehran, Iran

10.22060/ajme.2021.19915.5972

Abstract

An aerothermoelastic analysis of functionally graded plate containing porosities in ‎yawed hypersonic flows is investigated. Due to some incorrect manufacturing processes, two ‎different types of porosity, namely, even and uneven distributions are taken into account. The ‎third-order piston theory is utilized to estimate the unsteady aerodynamic pressure induced by the ‎hypersonic airflow. The material properties of a plate are assumed to vary across the thickness ‎direction according to a simple power law. Based on classical plate theory, the motion equations are ‎developed with geometric nonlinearity taking into consideration of von Karman strains. The ‎formulations are established based on Hamilton’s principle while the generalized differential ‎quadrature method is employed to solve the nonlinear aerothermoelastic equations. Due to lower ‎computational efforts‎‏, ‏the method of generalized differential quadrature (GDQM) is used to obtain ‎accurate results. Moreover, the assumed mode method along with the Runge-Kutta integration ‎algorithm is used as a solution method. The reliability and precision of the obtained results are ‎validated by published literature. Then, the influence of porosity distribution, porosity coefficient, ‎and yawed flow angle are discussed in detail. In general, this paper shows that even porosity ‎distribution would have a more destabilizing effect compared with the ‎uneven porous model.‎ And also, for both porosity distributions, the chaotic behavior appears in higher top surface ‎temperature but even porosity distribution has a profound effect on chaotic motion.‎

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