On the scattering of cylindrical elastic shell having trifurcation and structural variations at interfaces

The present research focuses on the study of how acoustic radiation modes behave in an elastic shell that has trifurcated junctions and structural variations. To express the vibration of a thin, flexible shell, the Donnell- Mushtari equations are utilized. These modes possess non-orthogonal characteristics and form a system that is linearly dependent. To analyze the scattering phenomenon in an elastic shell with a finite length that is connected to an extended trifurcated inlet and outlet with different ring conditions and step discontinuities, the mode-matching solution is developed. This approach uses continuity conditions for pressure and velocity modes, as well as generalized orthogonality conditions, to transform the differential systems into linear algebraic systems which are numerically solved after truncation. To ensure the accuracy of the algebraic calculations and the convergence of truncated coefficients, an energy flux identity based on the conservation law is developed and verified through continuity conditions. The results of numerical experiments conducted using the truncated solution offer valuable insights for designing effective noise reduction strategies in various industrial and engineering applications.