Finite element computation of nonlinear normal modes of nonconservative systems

in Proceedings of the ISMA 2012 conference (2012, September)

Modal analysis, i.e., the computation of vibration modes of linear systems, is really quite sophisticated and advanced. Even though modal analysis served, and is still serving, the structural dynamics ... [more ▼]

Modal analysis, i.e., the computation of vibration modes of linear systems, is really quite sophisticated and advanced. Even though modal analysis served, and is still serving, the structural dynamics community for applications ranging from bridges to satellites, it is commonly accepted that nonlinearity is a frequent occurrence in engineering structures. Because modal analysis fails in the presence of nonlinear dynamical phenomena, the development of a practical nonlinear analog of modal analysis is the objective of this research. Progress in this direction has been made recently with the development of numerical techniques (harmonic balance, continuation of periodic solutions) for the computation of nonlinear normal modes (NNMs). Because these methods consider the conservative system, this study targets the computation of NNMs for nonconservative systems, i.e. defined as invariant manifolds in phase space. Specifically, a new finite element technique is proposed to solve the set of partial differential equations governing the manifold geometry. The algorithm is demonstrated using different two-degree-of-freedom systems. [less ▲]

Finite Element Computation of Nonlinear Normal Modes

in Fifth International Conference on Advanced COmputational Methods in ENgineering (2011)

Implicit FE simulations of composite dynamic failure

in Proceedings of DYMAT 2009 - 9th International Conference on the Mechanical and Physical Behaviour of Materials under Dynamic Loading (2009, September)

This paper describes the implementation of failure criteria in an implicit finite element code. Tests are made with the Tsai-Wu criterion, which is widely used in the simulation of composite failure. The ... [more ▼]

This paper describes the implementation of failure criteria in an implicit finite element code. Tests are made with the Tsai-Wu criterion, which is widely used in the simulation of composite failure. The method is applied to the simulation of a tensile test of a laminate composite. The elasto-plastic material model of the composite ply, a polymer reinforced with woven carbon fabric, is described. Convergence of the results with respect to the mesh size and number of time steps is analysed and the reliability of the method is discussed. [less ▲]

Iterative solvers and stabilisation for mixed electrostatic and magnetostatic formulations

in Journal of Computational & Applied Mathematics (2008), 215(2), 348-356

Low Mach Number Local Preconditioning For Unsteady Viscous Finite Volumes Simulations on 3D Unstructured Grids

Conference (2006)

Electromagnetic force density in a ferromagnetic material

in IEEE Transactions on Magnetics (2004), 40(2), 553-556

Finite element modelling of ion convection by electrostatic forces

in IET Science, Measurement & Technology (2004), 151(6), 398-402

Electromagnetic force density in a ferromagnetic material

Conference (2003)

3D h-phi finite element formulation for the computation of a linear transverse flux actuator

in COMPEL (2003), 22(4), 1077-1088

Design of a foil-coiled inductor for the heating of steel wires

in Computation in Electromagnetics, CEM 2002, Bournemouth, UK, 8-11 April, 2002 (2002)