Nanotech 2001 Vol. 1
Nanotech 2001 Vol. 1
Technical Proceedings of the 2001 International Conference on Modeling and Simulation of Microsystems

Compact Modeling and Model Order Reduction Chapter 3

Macromodeling Temperature-Dependent Curl in CMOS Micromachined Beams

Authors: S. Iyer, H. Lakdawala, G.K. Fedder and T. Mukherjee

Affilation: Carnegie Mellon University, United States

Pages: 88 - 91

Keywords: CMOS micromachining, thermal multimorph, lumped parameter simulation, NODAS

Abstract:
Temperature sensitive curling is commonly observed in MEMS structures fabricated using a standard CMOS pro-cess. In this paper, a macromodel for vertical and lateral curling effects is derived by extending thermal multimorph theory for cantilever beams. Stresses induced by temperature change are lumped to form equivalent force and moment sources at the two ends of a beam. The macromodel is added onto an existing mechanical beam model which is used to build and simulate MEMS in a schematic view. Strain in the polysilicon layer of the CMOS microstructure leads to piezoresistance. The macromodel implementation includes computation of strain. The deflections in the lateral and vertical directions from simulations using the macro-model match finite-element analyses to within 3% and match experimental measurements to within 15%.

Macromodeling Temperature-Dependent Curl in CMOS Micromachined Beams

ISBN: 0-9708275-0-4
Pages: 638