High-frequency structural-acoustic analysis using an unstructured zero-order energy FEM formulation

Based on the governing equations of energy flow analysis in plate and acoustic domain, an unstructured zero-order energy finite element method (uEFEM0) formulation is presented to simulate the high-frequency behavior of plate structures in contact with acoustic cavities. The new formulation is derived using EFEM0, in which the energy primary variable is conserved in each element. The bending, longitudinal, and shear wave fields in the plates are all included. By meshing plates with triangular grids and cavities with tetrahedral grids, this new formulation can be easily used for modeling structures with arbitrary shape. The formulation is validated by comparing the results obtained from uEFEM0 with those from statistical energy analysis and literature. Good correlations are observed, and the advantages of the uEFEM0 formulation are identified.

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