Power Flow Analysis Methods for Curved Shells

Curved surfaces present unique challenges in modeling and analyzing vibrations yet are essential for optimizing product designs across various industries. This paper introduces a novel approach to power flow analysis tailored for curved panels, addressing the shortcomings of traditional modeling tools. The study encompasses analytical and numerical methods, including finite element analysis and the use of Chebyshev surfaces to smooth experimental data before computing spatial derivatives. The effectiveness of the methods is demonstrated over different curvatures, loading conditions, and boundary conditions.