Detecting internal resonances during model reduction
نویسندگان
چکیده
Model order reduction of geometrically nonlinear dynamic structures is often achieved via a static condensation procedure, whereby high-frequency modes are assumed to be quasi-statically coupled small set lower frequency modes, which form the basis. This approach mathematically justifiable for characterized by slow/fast dynamics, such as thin plates and slender beams, has been shown provide highly accurate results. Nevertheless, selecting basis without priori knowledge full-order dynamics challenging task; retaining redundant will lead computationally suboptimal reduced-order models (ROMs), while omitting dynamically significant inaccurate results, important features internal resonances may not captured. In this study, we demonstrate how error associated with can efficiently approximated during model reduction. approximate then used method predicting when modal interactions occur, guide selection process. Equivalently, serve tool verifying accuracy ROMs need simulations. The proposed demonstrated using simple oscillator finite element clamped–clamped beam.
منابع مشابه
Detecting Resonances using Evolutionary Algorithms
We propose a new approach for the identification of the resonances appearing in symplectic maps. In the proposed methodology, we make use of Evolutionary Algorithms which are population based search strategies used for global optimization. We have applied the proposed methodology to the 2 dimensional (2D) Hénon map and obtained promising results which can be generalized to symplectic maps of hi...
متن کاملDetecting Redundant reduction
We present a general method for detecting redundant production rules based upon a term rewrite semantics. We present the semantic account, define rule execution over both ground memories and memory schemas, and define redundancy for production rules. From those definitions, an algorithm is developed that detects redundant rules, and which improves upon previously
متن کاملDetecting resonances in conservative maps using evolutionary algorithms
a r t i c l e i n f o a b s t r a c t A numerical method is proposed for detecting resonances of conservative maps which reduces this task to an optimization problem. We then solve this problem using evolutionary algorithms, which are methods for global optimization inspired by biological evolution. The proposed methodology is simple and can be easily applied to maps of arbitrary dimensions. In...
متن کاملVibration Testing for Detecting Internal Corrosion
The vibration behavior of structures can be characterized in terms of resonance frequencies and mode shapes which describe properties of the tested object in a global way but do not in general provide information about structural details. Following an asymptotic formalism, in much the same spirit as the work in [3] and recent text [1], we develop a simple method to address the inverse problem o...
متن کاملAlgebraic model of baryon resonances
We discuss recent calculations of electromagnetic form factors and strong decay widths of nucleon and delta resonances. The calculations are done in a collective constituent model of the nucleon, in which the baryons are interpreted as rotations and vibrations of an oblate top.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2021
ISSN: ['1471-2946', '1364-5021']
DOI: https://doi.org/10.1098/rspa.2021.0215