Application of modified Arnoldi algorithm to passive macromodeling of MEMS.
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 x 2n matrix in the computation is replaced by a n x 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.
College of Nanoscale Science and Engineering, University at Albany, Albany, NY 12203, USA.
Woon Ket
WK
Wong
Wei
W
Wang