A micro electro mechanical CAD extension for SESES

Schwarzenbach, H U; Korvink, Jan G.; Roos, Michael; Sartoris, Guido; Anderheggen, Edoardo

doi:10.1088/0960-1317/3/3/006

Cited by 10 publications

(6 citation statements)

References 4 publications

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“…Here, RM is our notation for the elastostatic equilibrium equations, note that it indicates the dependence on electrostatic forces. The most obvious approach to solving the coupled system of (6) and (7) is to use a simple relaxation scheme [4], [5], [11], as diagrammed in Figure 1. The relaxation algorithm does not always converge, however, particularly when the electrostatic forces are large and the structure is extremely compliant [12].…”

Section: Coupled Methodsmentioning

confidence: 99%

Algorithms for coupled domain MEMS simulation

Aluru

White

1997

Proceedings of the 34th Annual Conference on Design Automation Conference - DAC '97

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The performance of micro-electro-mechanical systems depends on the interaction between electrical, mechanical, and fluidic forces. Simulating this coupled problem is made more difficult by the fact that most MEMS devices are innately threedimensional and geometrically complicated. It is possible to simulate efficiently these devices using domain-specific solvers, provided the coupling between domains can be handled effectively. In this paper we will survey recent developments in coupled-domain simulation, and give computational comparisons between relaxation, multi-level Newton, and Newton-Iterative methods for 3-D electromechanical analysis.

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Section: Coupled Methodsmentioning

confidence: 99%

Algorithms for coupled domain MEMS simulation

Aluru

White

1997

Proceedings of the 34th Annual Conference on Design Automation Conference - DAC '97

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“…This states the coupled nonlinear semi-discrete system. In order to integrate Equations (24) and (25) in time, we will examine both an implicit method (mid-point rule) and an explicit method (centered-difference scheme). For the dynamical implicit solution, we employ the mid-point rule.…”

Section: Algorithmic Solution Of the Coupled Systemmentioning

confidence: 99%

“…Many formulations exist in the literature to handle electro‐mechanical coupling. We mention in particular the coupled finite‐element/boundary‐element methods (FEBE) , and Lagrangian or arbitrary Lagrangian–Eulerian methods (ALE) . For both FEBE and ALE approaches, one faces challenges when the topology of the electrical field domain changes because of contacting bodies.…”

Section: Introductionmentioning

confidence: 99%

Cyclic steady states of nonlinear electro-mechanical devices excited at resonance

Brandstetter

Govindjee

2016

Int. J. Numer. Meth. Engng

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SUMMARYWe present an efficient numerical method to solve for cyclic steady states of nonlinear electro-mechanical devices excited at resonance. Many electro-mechanical systems are designed to operate at resonance, where the ramp-up simulation to steady state is computationally very expensive -especially when low damping is present. The proposed method relies on a Newton-Krylov shooting scheme for the direct calculation of the cyclic steady state, as opposed to a naïve transient time-stepping from zero initial conditions. We use a recently developed high-order Eulerian-Lagrangian finite element method in combination with an energy-preserving dynamic contact algorithm in order to solve the coupled electro-mechanical boundary value problem. The nonlinear coupled equations are evolved by means of an operator split of the mechanical and electrical problem with an explicit as well as implicit approach. The presented benchmark examples include the first three fundamental modes of a vibrating nanotube, as well as a micro-electro-mechanical disk resonator in dynamic steady contact. For the examples discussed, we observe power law computational speed-ups of the form S D 0:6 0:8 , where is the linear damping ratio of the corresponding resonance frequency.

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“…The most obvious approach to solving the coupled system of (6) and 7is to use a simple relaxation scheme [4], [5], [11], as diagrammed in Figure 1. The relaxation algorithm does not always converge, however, particularly when the electrostatic forces are large and the structure is extremely compliant [12].…”

Section: R U Qmentioning

confidence: 99%