Variational analysis of a slender fluid–structure system: The elasto‐acoustic beam—a new symmetric formulation

摘要

AbstractWe present a new finite element analysis of the linear dynamic responses of a slender fluid–structure system, namely the elasto‐acoustic beam, neglecting flow and viscosity effects. Using one unknown field in the fluid, namely the ‘mass–flow’ corresponding to a cross‐section mean value of the longitudinal displacement field component, an original symmetric formulation is derived which does not exhibit the usual spurious modes associated with the irrotationality constraint occurring in displacements formulations of fluid–struc