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

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.

Transverse Deflection for Extreme Ultraviolet Pellicles

“…Many methods can be used to solve transverse deflection of thin plates. They can be divided into analytical methods, such as Timoshenko method [25], Galerkin-Vlasov method [26], Navier's method [27,28], Levy's method [29], numerical methods, such as finite element method (FEM) [30][31][32], finite boundary method (FBM) [33], global element method (GEM) [34], global-local finite element method (GLFEM) [35], and analytical-numerical methods [36]. Although analytical methods allow for the solving boundary problems of plates with unknown parameters and constrained by canonical contours, they are more accurate than numerical methods.…”

A Hybrid Chebyshev Pseudo-Spectral Finite-Difference Time-Domain Method for Numerical Simulation of 2D Acoustic Wave Propagation

“…Accurate acoustic wave propagation is a highly challenging computational problem that is crucial to acoustic modeling, imaging, and inversion. To solve the time-domain or frequency-domain acoustic wave equation in a heterogeneous medium, it is necessary to apply numerical modeling techniques, such as the finite-difference time-domain (FDTD) method [1][2][3][4][5], finite-difference frequency-domain (FDFD) [6,7], finite-element time-domain (FETD) [8][9][10][11], finite-element frequency-domain (FEFD) [12], pseudo-spectral time-domain (PSTD) [13][14][15], and spectral-element time-domain (SETD) methods [16][17][18]. The FDTD method is the most popular numerical scheme for simulating acoustic wave propagation.…”