where D = (−1, 1)× (−1, 1) , f(x, y) is a given Hölder continuous function in D, and φ(x, y) is an unknown function. The equation (1) has applications in the theory of aeroelasticity [1]. Note that the equation without logarithmic singularities was many times considered in different classes of functions. In the literature the solutions of the equation (1) in bounded domains [2, 5, 6, 9] as well...

To study the interaction of a vibrating shallow shell with three-dimensional subsonic gas flow, we deduce system hypersingular integral equations for aerodynamic derivatives pressure drop. This is convenient solution problems aeroelasticity. We solve by using numerical approach based on discrete vortex method. model vibrations shells, ordinary differential help assumed-mode also perform investi...

This paper presents a parametric study on the aeroelasticity of cantilever wings equipped with Flared Hinge Folding Wingtips (FHFWTs). The finite element method is utilized to develop computational, low-fidelity aeroelastic model. wing structure modelled using Euler–Bernoulli beam elements, and unsteady Theodorsen’s aerodynamic strip Theory used for load predictions. PK estimate boundaries. mod...

Tapering is a common morphological modification to ensure the stability of civil structures, especially as more and high-rise buildings push skyline modern cities. However, aerodynamics, aeroelasticity, fluid-structure-interaction tapering remain far from been fully understood. Through wind tunnel tests, present work offers some notable observations on effects tapering, specifically considering...

A high-fidelity numerical formulation is presented for the high-speed aeroelastic behavior of slender composite wings. The compressible flow is modeled using the 3-D Euler equations on a deformable mesh, and an asymptotic approximation of the 3-D kinematically-nonlinear equations of elasticity models the anisotropic slender structure. The transfer of the distributed loads and displacements at t...

The Unsteady Vortex-Lattice Method provides a medium-fidelity tool for the prediction of non-stationary aerodynamic loads in low-speed, but high-Reynolds-number, attached flow conditions. Despite a proven track record in applications where free-wake modelling is critical, other less-computationally-expensive potential-flow models, such as the Doublet-Lattice Method and strip theory, have long b...

In this study, a revised version of some numerical methods for class hybrid integro-differential equations with weakly singular kernels (Abel types) is presented. These were developed from first kind originating an aeroelasticity problem. By manipulating the bounds initial conditions random variations, study numerically demonstrated well-posedness properties equations. Finally, assumption separ...

This paper numerically investigates the effect of chordwise flexibility on the dynamic stability of compliant airfoils. A classical two-dimensional aeroelastic model is expanded with an additional degree of freedom to capture time-varying camber deformations, defined by a parabolic bending profile of the mean aerodynamic chord. Aerodynamic forces are obtained from unsteady thin airfoil theory a...