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Application of Modified Arnoldi Algorithm to Passive Macromodeling of MEMS

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The demand for accurately simulating dynamical responses of complex MEMS and NEMS systems leads to intensive studies in reduced-order modeling methods. We apply a modified Block Arnoldi algorithm to significantly reduce the run time and usage of computer resource for such calculations, while preserving essential properties. The 2n × 2n matrix in the computation is replaced by a n × n matrix and the FLOP count is reduced from (56n 3 − 216n 2 + 22n)/3 to (7n 3 − 54n 2 + 11n)/3. The CPU run time for a resonator example of n = 39 is reduced from 0.091 second to 0.080 second. For a butterfly gyroscope example with a larger matrix size, n = 17361, the CPU time is reduced from 4343 seconds to 1528 seconds, achieving 65% improvement.
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Document Type: Research Article

Publication date: February 1, 2009

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  • Journal for Nanoscience and Nanotechnology (JNN) is an international and multidisciplinary peer-reviewed journal with a wide-ranging coverage, consolidating research activities in all areas of nanoscience and nanotechnology into a single and unique reference source. JNN is the first cross-disciplinary journal to publish original full research articles, rapid communications of important new scientific and technological findings, timely state-of-the-art reviews with author's photo and short biography, and current research news encompassing the fundamental and applied research in all disciplines of science, engineering and medicine.
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