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A wave finite element approach for modelling wave transmission through laminated plate junctions

Nurkanat Aimakov, Gregor Tanner, Dimitrios Chronopoulos

2022Scientific Reports20 citationsDOIOpen Access PDF

Abstract

We present a numerical method for computing reflection and transmission coefficients at joints connecting composite laminated plates. The method is based on modelling joints with finite elements with boundary conditions given by the solutions of the wave finite element method for the plates in the infinite half-spaces connected to the joint. There are no restrictions on the number of plates, inter-plate angles, and material parameters of individual layers forming the composite. An L-shaped laminated plate junction is discussed in more detail. Comparisons of numerically predicted scattering coefficients with semi-analytical solutions for the selected structures are presented. The results obtained are essential for statistical energy analysis and dynamical energy analysis based calculations of the wave energy distribution in full built-up structure.

Topics & Concepts

Finite element methodReflection (computer programming)Transmission (telecommunications)Boundary value problemEnergy (signal processing)Composite plateJoint (building)ScatteringStatistical energy analysisComposite numberMaterials scienceMathematical analysisStructural engineeringPhysicsComputer scienceMathematicsOpticsComposite materialEngineeringTelecommunicationsQuantum mechanicsProgramming languageUltrasonics and Acoustic Wave PropagationAcoustic Wave Phenomena ResearchStructural Health Monitoring Techniques
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