The eigenvalue problem is formulated and solved by using a finite element representation for each simplified model.
Distribution functions are approximated by a Fourier representation in the azimuthal angle, γ, and by a 2D finite element representation in the parallel and perpendicular directions.
The mathematical model assumes a finite element representation of the beam-like deck and the vehicle simulation uses concentrated parameters of mass, stiffness and damping.
The wave function is assumed to be given in a finite difference or finite element representation with polynomial completeness to an arbitrary but fixed degree.
The scheme is based on the Biot-equations for the rock, and a finite element representation for the fracture pressure, where the fracture volume appears as fracture porosity.
Various scale transition schemes are tested, including a finite-element representation of the polycrystalline aggregate and a simplified Taylor-type modeling of pairwise interactions of adjacent grains.
In contrast to existing ODF schemes based on series representations of the ODF, the tools proposed are based on a piecewise polynomial finite element representation, permitting the application of existing finite element technology to quantitative texture analysis.
The room-structure-room finite element representation, employed to solve sound propagation and sound-structure interaction problems, as well as the dynamic coupling of and the sound energy propagation through successive air-structure layers are investigated.
This model has been developed using a finite element representation in which a 1D structure (continuous spread footing) rests on a spatially variable soil, described by Winkler-type springs, characterized by the subgrade reaction coefficient.
A simple, modular, expandable system is presented that considers the structural logic of printable parts through the voxelization of 3D virtual models into a finite element representation that is used to feed a spring model.
