International Journal for Numerical Methods in Engineering · 1983 · 14 citations · 12 references
EngineeringComputational EngineeringMechanical EngineeringComputational Fluid DynamicsComputational MechanicsFluid DynamicsBoundary Element MethodsFinite Element FormulationHydrodynamic ResponseIntegral Equation FormulationsVibration AnalysisAdded Mass EstimationBoundary Integral Equation FormulationsElasticity ProblemsFuel StorageHydrodynamic AnalysisHydroelastic ResponseSurface WavesVibrational Modes
Abstract This paper presents boundary integral equation procedures for calculating the added mass matrix required to determine hydroelastic vibrational modes of tanks or immersed structures. The liquid is assumed inviscid and incompressible and no surface waves are admitted. Two symmetric variational formulations of the boundary integral equation are derived, including the free surface condition and possible conditions of symmetry. These are approximated by a curved finite element method and numerical results are presented for an axisymmetric tank, immersed cantilever plates and a three‐dimensional fuel storage container.
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