Path following and numerical continuation methods for non-linear MEMS and NEMS - Condensed Matter > Mesoscale and Nanoscale PhysicsReportar como inadecuado




Path following and numerical continuation methods for non-linear MEMS and NEMS - Condensed Matter > Mesoscale and Nanoscale Physics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: Non-linearities play an important role in micro- and nano- electromechanicalsystem MEMS and NEMS design. In common electrostatic and magnetic actuators,the forces and voltages can depend in a non-linear way on position, charge,current and magnetic flux. Mechanical spring structures can cause additionalnon-linearities via material, geometrical and contact effects. For the designand operation of non-linear MEMS devices it is essential to be able to modeland simulate such non-linearities. However, when there are many degrees offreedom, it becomes difficult to find all equilibrium solutions of thenon-linear equations and to determine their stability. In these cases pathfollowing methods can be a powerful mathematical tool. In this paper we willshow how path following methods can be used to determine the equilibria andstability of electromechanical devices. Based on the energy, work and theHamiltonian of electromechanical systems section 1, the equations of motionsection 2, the equilibrium section 3 and stability conditions section 6are derived. Examples of path following simulations section 4 in Mathematicasection 5, Matcont section 7 and using FEM methods in Comsol section 8are given to illustrate the methods.



Autor: Peter G. Steeneken, Jiri Stulemeijer

Fuente: https://arxiv.org/



DESCARGAR PDF




Documentos relacionados