The following article presents the elaboration and results obtained from a 3D finite element, of 8-node hexahedron type with 6 degrees freedom (DOF) per node (48 DOF element) based on third degree Hermitian polynomials, 2-node structural (12 element), polynomials theory Timoshenko for beams. This has two purposes; first one is formulation element capable capturing bending effects, second to ver...

An isogeometric finite element formulation for geometrically and materially nonlinear Timoshenko beams is presented, which incorporates in-plane deformation of the cross-section described by two extensible director vectors. Since those directors belong to space ${\Bbb R}^3$, a configuration can be additively updated. The developed allows direct application three-dimensional constitutive equatio...

Wave propagation problems on networks arise in many fields of technology. Let us give a brief list of possible applications: •Acoustics: for example the human vocal tract can be considered as a Y-shaped graph; •Mechanics: wave propagation in Timoshenko beam structures. For example, jointed beams and beams with parameter discontinuities can be regarded as network systems; •Electrodynamics: elect...