Commercial transport aircrafts generate a significant amount of noise during approach and landing. A substantial portion of this noise is due to the interaction of vortices and structure at the discontinuity between the wing and the deployed trailing edge flap. One method to reduce this noise is to introduce a thin flexible fairing that can smoothly connect the edge of the flap to the wing. For design purposes, it is important to analyze the aeroelastic behavior of such fairings, which can be modeled as membranes or elastic panels. Past studies have considered panel flutter with an assortment of boundary conditions, but only recently have efforts begun to consider boundary conditions geometrically the trailing edge flap fairing -side edges and leading edge fixed, trailing edge free. This paper presents a theoretical study of the aeroelastic behavior of elastic plates with this boundary condition. Specifically the paper discusses a vortex lattice aerodynamic model coupled with a classical plate/membrane model. The model is used to predict the linear flutter boundary and flutter characteristics of the panel while the support structure size, streamwise length, and normal direction tension are varied. The stability boundary is determined to be relatively insensitive to the support structure size, but varies non-simply with both the streamwise chord and the tension in the normal direction. Additionally the results are compared to previous aeroelastic simulations which suggested a higher mode flutter which is not encountered in the current simulations. Experimental validation of the structural and aeroelastic models is presented in the companion paper.
In support of the noise reduction targets for future generations of transport aircraft, as set forth by NASA, the fundamental aeroelastic behavior of trailing edge flap technology was explored. Using a plate structural model to approximate the structural configuration and linear potential flow theory to represent the aerodynamics, aeroelastic behavior was characterized for two structural configurations using two different sets of boundary conditions for each. The two structural configurations considered were a) all edges fixed and b) leading and side edges fixed, trailing edge free. In each configuration both simply supported and clamped boundary conditions were considered. Results are compared to calculations presented in the literature for the all edges simply supported configuration.v
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