Fluid-Structure Transient Gust Response Sensitivity for a Nonlinear Joined Wing Model

A continuous sensitivity analysis of the transient gust response for a one-dimensional joined wing model is developed. In continuous sensitivity methods, one computes design or shape parameter gradients from the continuous system of partial differential equations instead of the discretized system. The continuous sensitivity equations are a linear boundary-value problem which renders computationally efficient design parameter gradients without needing to derive and code the problematic mesh sensitivities of discrete sensitivity methods. The nonlinear fluid is modeled using quasi-steady compressible potential flow and the joined wing is modeled using nonlinear 1D beam elements. The coupled fluid-structure physics and continuous sensitivity system equations for a representative nonlinear gust response problem are posed and solved. Buckling sensitivity of the aft wing to several design and shape parameters is studied. Continuous sensitivity results for both the local and total material derivatives are presented and compared to gradients obtained by finite-difference methods.

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