3D MEMS Simulation Modeling Using Modified Nodal Analysis

The modeling, simulation, and experimental verification of several MEMS devices are presented. Simulated results include 3D mode analysis, residual stress effects, thermal expansion, nonlinear deflections, time-varying electrostatic forces, process sensitivities, induced currents, and the transient performance in accelerated reference frames. To simulate the performance of these MEMS devices a modified nodal analysis approach is used to formulate a system of ODEs that is solved by static, steady state, and transient solvers. Index Terms SUGAR, modified nodal analysis, static, steady state, transient, accelerating frames, sensitivity.

[1]  M. E. El-Hawary,et al.  Control system engineering , 1984 .

[2]  Jan E. Vandemeer Nodal Design of Actuators and Sensors (NODAS) , 1998 .

[3]  William C. Tang,et al.  Multiple mode micromechanical resonators , 1990, IEEE Proceedings on Micro Electro Mechanical Systems, An Investigation of Micro Structures, Sensors, Actuators, Machines and Robots..

[4]  Richard S. Muller,et al.  Cyclic fatigue testing of surface-micromachined thermal actuators , 1998 .

[5]  藤正 巌,et al.  IEEE Micro Electro Mechanical Systems Workshop. , 1989 .

[6]  Wensyang Hsu,et al.  A microstructure for in situ determination of residual strain , 1999 .

[7]  Kristofer S. J. Pister,et al.  Mechanical Digital-To-Analog Converters , 2002 .

[8]  G. Calafiore,et al.  Confidence ellipsoids for uncertain linear equations with structure , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[9]  S. Sastry Nonlinear Systems: Analysis, Stability, and Control , 1999 .

[10]  Kristofer S. J. Pister,et al.  MEMS SIMULATION USING SUGAR v0.5 , 1998 .