Authors: S. Taschini, H. Baltes and J.G. Korvink
Affilation: ETH-Hoenggerberg, Switzerland
Pages: 485 - 488
Keywords: nonlinear analysis, electrostatic actuationa, MEMS
We present an explicit formulation for the Jacobian (or tan-gent) matrix of the discretized non-linear model for a cou-pled electromechanical system. The Jacobian matrix, consisting of the derivatives of the residual, is needed in Newton-Raphson-based algorithms to solve these non-linear problems, as well as in the analysis of their stability. Our for-mulation of the Jacobian matrix relies on the discretization of the electrostatic sub-model by means of the collocation boundary-element method. It is independent of the discreti-zation method (either boundary or finite elements) and of possible non-linearities in the mechanical sub-model.