On the Advantages of Using a Strong Coupling Variational Formulation to Model Electro-Mechanical Problem
Rochus, Véronique[Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures >]
Rixen, D. J.[2T.U. Delft, O.C.P, Engineering Dynamics, Delft, The Netherlands > > > >]
Golinval, Jean-Claude[Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures >]
Thermal, Mechanical and Multiphysics Simulation and Experiments in Micro/Nanoelectronics and Systems, Proceedings of EuroSimE 2006
7th IEEE EuroSimE conference
[en] Strong Coupling Variational Formulation ; Model Electro-Mechanical Problem ; MEMS ; nonlinear algorithms ; Finite element ; topology optimisation
[en] This paper presents the advantages of a strong coupled formulation to model the electro-mechanical coupling appearing in MEMS. Usually the classical softwares use a staggered methodology iterating between two different codes to obtain the solution of the coupled problem. In this research a strong coupled formulation is proposed and a tangent stiffness matrix of the whole problem is computed. Using this matrix, nonlinear algorithms such as the Riks-Crisfield algorithm may be applied to solve the static nonlinear problem and determine accurately the static pull-in voltage. Moreover, the natural frequencies may be computed around each equilibrium positions. The dynamic behaviour of the structure may also be studied and two new parameters are defined: the dynamic pull-in voltage and the dynamic pull-in time. This strong coupled methodology deriving from variational principle may also be used for topology optimisation and extended finite elements.