The Journal of the Acoustical Society of America · 2009 · 14 citations · 20 references
Natural SciencesComputational EngineeringPhysicsAcousticsComputational AcousticsComputational GeometryAcoustic LocalizationAcoustic ModelingAcoustic Wave PropagationAnisotropy AnalysisStructural AcousticsWave Propagation In StructuresAcoustic EmissionAcoustic Emission AnalysisComposite Plate AnalysisDijkstra's AlgorithmGeodesic RepresentationMinimum Energy PathsTriangulation AlgorithmsWave Propagation Analysis
Conventional analytical/numerical methods employing triangulation technique are suitable for locating acoustic emission (AE) source in a planar structure without structural discontinuities. But these methods cannot be extended to structures with complicated geometry, and, also, the problem gets compounded if the material of the structure is anisotropic warranting complex analytical velocity models. A geodesic approach using Voronoi construction is proposed in this work to locate the AE source in a composite structure. The approach is based on the fact that the wave takes minimum energy path to travel from the source to any other point in the connected domain. The geodesics are computed on the meshed surface of the structure using graph theory based on Dijkstra's algorithm. By propagating the waves in reverse virtually from these sensors along the geodesic path and by locating the first intersection point of these waves, one can get the AE source location. In this work, the geodesic approach is shown more suitable for a practicable source location solution in a composite structure with arbitrary surface containing finite discontinuities. Experiments have been conducted on composite plate specimens of simple and complex geometry to validate this method.
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A note on two problems in connexion with graphs
E. Dijkstra · Numerische Mathematik · 1959 · 23.8K citations
Fast exact and approximate geodesics on meshes
Vitaly Surazhsky, Tatiana Surazhsky, Danil Kirsanov et al. · ACM Transactions on Graphics · 2005 · 500 citations · Full text