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High‐frequency response analysis via algebraic substructuring
Author(s) -
Ko Jin Hwan,
Bai Zhaojun
Publication year - 2008
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2326
Subject(s) - algebraic number , cutoff frequency , cutoff , frequency response , natural frequency , computer science , range (aeronautics) , work (physics) , algorithm , electronic engineering , computational science , mathematics , engineering , acoustics , electrical engineering , mechanical engineering , physics , mathematical analysis , vibration , aerospace engineering , quantum mechanics
High‐frequency response analysis (Hi‐FRA) of large‐scale dynamical systems is critical to predict the resonant behavior of modern micro‐devices and systems operated over MHz or GHz frequency range. Algebraic substructuring (AS) is a powerful technique to extract a large number of natural frequencies. In this work, we extend the AS technique for FRA between two specified cutoff frequencies ω min and ω max . The technique is referred to as ASFRA. ASFRA can be efficiently applied to Hi‐FRA, as demonstrated by two examples of microelectromechanical sensors operated at 1–2 and 200–250 MHz ranges. To some extent ASFRA generalizes the underlying numerical algorithm and functionality of commercially viable automated multi‐level substructuring (AMLS) technique. AMLS is designed for FRA up to a specific frequency ω max , starting from the lowest, and is inefficient for Hi‐FRA. Copyright © 2008 John Wiley & Sons, Ltd.