A theoretical computational model of a plate in hypersonic flow. (February 2020)

• Record Type: Journal Article
• Authors: Freydin, Maxim; Dowell, Earl H.; Whalen, Thomas J.; Laurence, Stuart J.
• Is Part Of: Journal of fluids and structures. Volume 93(2019)
• Publication Date: 2020-02
• Subjects: Structural dynamics -- Fluid–structure interaction -- Panel flutter -- Hypersonic -- Piston theory; Fluid-structure interaction -- Periodicals; Fluid mechanics -- Periodicals; Structural dynamics -- Periodicals; Structural analysis (Engineering) -- Periodicals; 620.106
• DOI: 10.1016/j.jfluidstructs.2019.102858
• Languages: English
• ISSNs: 0889-9746

Abstract

Abstract: A theoretical model of an elastic panel in hypersonic flow is derived to be used for design and analysis. The nonlinear von Kármán plate equations are coupled with 1st order Piston Theory and linearized at the nonlinear steady-state deformation due to static pressure differential and thermal loads. Eigenvalue analysis is applied to determine the system's stability, natural frequencies and mode shapes. Numerically time marching the equations provides transient response prediction which can be used to estimate limit cycle oscillation amplitude, frequency and time to onset. The model's predictive capability is assessed by comparison to an experiment conducted at a free stream flow of Mach 6. Good agreement is shown between the theoretical and experimental natural frequencies and mode shapes of the fluid–structure system. Stability analysis is performed using linear and nonlinear methods to plot stability, flutter and buckling zones on a free stream static pressure vs temperature differential plane.