Design Optimization for Minimum Sound Radiation from Point-Excited Curvilinearly Stiffened Panel

With the development of manufacturing techniques such as the electron beam free form fabrication, a metal deposition technique that deposits metal in complex shapes on a metallic base plate, it has become easy to manufacture complex shapes such as panels with curvilinear stiffeners. Designing panels with predefined structural and acoustic response is the focus of the present work. Researchers have dealt with sizing optimization of panels with straight/curvilinear stiffeners for many years and it has been proven that in many cases the mass of a panel with curvilinear stiffeners is lesser than the mass of a panel with straight stiffeners for a complex loading such as biaxial compression with shear and transverse pressure. This work deals with sizing as well as placement optimization of panel with straight and curvilinear stiffeners for desired structural and acoustic response. For acoustic optimization, point-excited stiffened panels are designed for minimal sound radiation given the constraint on total mass of the structure. The developed framework for structural-acoustic optimization of point-excited stiffened panels can be extended to multipoint excitation to capture the realistic excitations such as turbulent boundary-layer pressure fluctuations. Finite element method is used for structural response of the structure for point excitation, and acoustic response is calculated using Rayleigh integral. The present work deals with external radiation problem where the acoustic medium is air. The effect of air on the vibrating structure is considered to be very small. Therefore, coupling between structural and acoustic response is neglected. To reduce the computational expense of structural-acoustic optimization, a new methodology for objective function evaluation is proposed and optimal design for minimum radiated acoustic power is discussed.

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