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Nonlinear Transient Thermoelastodynamics of Functionally Graded Panels Subjected to Strong Acoustic Excitations
Final rept. 15 Dec 2006-14 Dec 2009
ARIZONA STATE UNIV TEMPE
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The focus of this investigation was on the understanding and prediction of the nonlinear geometric large displacements dynamic response of functionally graded panels subjected to the severe acoustic, thermal, and mechanicalaerodynamic excitations expected for hypersonic vehicles. The phenomenological analysis centered more specifically on the differences observed in the response of metallic panels and those functionally graded while a pre-existing reduced order modeling strategy was drastically enhanced to provide the needed, accurate prediction methodology. This project resulted in 1 a finite deformation elasticity based derivation of the reduced order modeling equations for cold structures delineating clearly the broad applicability of the approach 2 the selection strategy of an appropriate and efficient basis for the representation of the full displacement field of metallic and functionally graded panels, and the extended validation of the concepts to flat and curved panels 3 the extension of 1 in the presence of a temperature field itself represented by a modal expansion leading to a combined structural-thermal reduced order model, the latter capturing the heat convection, the selection strategy of an appropriate basis for the representation of the temperature distribution, and the validation of these concepts to steady and unsteady temperature problems and 4 the inclusion of structural uncertainty in the reduced order model.
APPROVED FOR PUBLIC RELEASE