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Analysis of Sample Injection and Band-Broadening in Capillary Electrophoresis Microchips

Krishnamoorthy S., Giridharan M.G., CFD Research Corporation, US
An implicit finite-volume numerical scheme has been developed to solve the three-dimensional transport equations that govern the electroosmotic and electrophoretic phenomena. The scheme consists of solving the ion transport equation and electro-neutrality condition coupled with [...]

A Fast Stokes Solver for Generalized Flow Problems

Ye W., Wang X., White J.K., Massachusetts Institute of Technology, US
Computing drag forces on geometrically complicated 3-D micromachined structures, such asan entire comb resonator, is a challenging problem. The recently developed FastStokes solver, based on precorrected-FFT accelerated iterative methods, has made analyzing such problems much [...]

Discrete Impurity Effects in Silicon Quantom Dots

Milicic S.N., Vasileska D., Akis R., Gunther A., Goodnick S.M., Arizona State University, US
We have developed efficient self-consistent 3D Schrodinger-Poisson solver to model the energy level spectrum in silicon quantum dots. We find that the energy level spectrum in the dot can be easily tuned by varying the [...]

A Mathematical Model for Process Control in Laser Chemical Vapor Deposition

Nassar R., Dai W., Zhang C., Lan H., Maxwell J., Louisiana Tech University, US
Laser chemical vapor deposition is a free form technique capable of producing high aspect ratio microstructures of arbitrary shape. The process does not yet have a high resolution required for microfabrication. For this study, we [...]

Nonlocal Problems in MEMS Device Control

Pelesko J.A., Triolo A.A., Georgia Institute of Technology, US
Perhaps the most ubiquitous phenomena associated with electrostatically actuated MEMS devices is the "pull-in" voltage instability. In this instability, when applied voltages are increased beyond a certain critical voltage there is no longer a steady-state [...]

Finite Element Based Electrostatic-Structural Coupled Analysis with Automated Mesh Morphing

Zhulin V.I., Owen S.J., Ostergaard D.F., ANSYS, Inc., US
A co-simulation tool based on finite element principles has been developed to solve coupled electrostatic-structural problems. An automated mesh morphing algorithm has been employed to update the field mesh after structural deformation. The co-simulation tool [...]

Reduced-Order Models of Stress-Stiffened MEMS Structures

Varghese M., Rabinovich V.L., Senturia S.D., Massachusetts Institute of Technology, US
We present a process for generating reduced-order models for stress-stiffened MEMS structures. The models are created using the established CHURN process, which uses non-linear, analytic, energy functions to describe the state of each conservative quasi-static [...]

Mathematical Analysis of Electrostatically Actuated MEMS Devices

Bernstein D., Guidotti P., Pelesko J.A., California Institute of Technology, US
We perform a rigorous mathematical analysis of a simple membrane based model of an electrostatiacallyh actuated MEMS device. Using both analytical and numerical techniques, we prove the existence of a fold in the solution space [...]

A Novel Approach for Determining Pull-In Voltages in Micro-electro-mechanical Systems (MEMS)

Long D.S., Shannon M.A., Aluru N.R., University of Illinois at Urbana-Champaign, US
In this paper we introduce a novel method, based on the Lagrange Multiplier Method (LMM), for calculating pull-in voltages in MEMS. This method combines the finite-element with a displacement constraint and boundary element method. The [...]

A Quadratic Method for Nonlinear Model Order Reduction

Chen Y., White J.K., Massachusetts Institute of Technology, US
In order to simulate and optimize effciently systems which include micromachined devices, designers need dynamically accurate macromodels for the those devices. Although it is possible to develop such macromodels by hand, it would be vastly [...]

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