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.

Highlights

  • We present a numerical method for computing reflection and transmission coefficients at joints connecting composite laminated plates

  • Reflection and transmission behaviour at joints can be solved using FE tools as has been done for isotropic materials, see paragraphs, and will be presented for composites in “Wave finite element method for composite plates”. These scattering coefficients can be estimated using semi-analytical methods based on force-balance equations at the interface, ­see[19] for isotropic materials ­and[20] for composite plates

  • We extend the hybrid FE/wave finite element (WFE) method to composite laminated plates

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Summary

Conclusion

A hybrid FE/WFE model has been developed predicting the scattering properties for different junctions of twodimensional anisotropic composite plates. The influence of the angle of incidence on the distribution of the power flow of incident bending, shear and longitudinal type waves has been investigated. Numerical results presented were compared with semi-analytical evaluations of scattering coefficients. The method gives for the first time a detailed recipe for computing scattering coefficients for the generic case of an arbitrary number of composite plates connected at a junction without restrictions on the angles at which the plate meet or the orientation of the principal axes of individual plates. The results of this paper can be used for the computation of wave energy distributions in SEA by providing coupling loss ­factors[67] and for angle-of-incidence dependent scattering coefficients entering the radiative transfer and DEA method

Methods

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