A meta-modeling technique for the natural frequencies based on the approximation of the characteristic polynomial

被引：7
|
作者：
Pichler, L. [2 ]
Gallina, A. [1 ]
Uhl, T. [1 ]
Bergman, L. A. [2 ]
机构：
[1] AGH Univ Sci & Technol, Dept Robot & Mechatron, PL-30059 Krakow, Poland
[2] Univ Illinois, Dept Aerosp Engn, Urbana, IL 61801 USA
来源：
COMPUTERS & STRUCTURES | 2012年 / 102卷
基金：
奥地利科学基金会;
关键词：
Structural dynamics; Meta-modeling; Uncertainty analysis; Mode veering; Characteristic polynomial; OPTIMIZATION; ALGORITHM;
D O I：
10.1016/j.compstruc.2012.03.002
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Modal meta-models are used to approximate modal properties of structures when structural modifications are present. This paper proposes a viable meta-modeling approach which, based on the approximation of the coefficients of the characteristic polynomial, succeeds in accurately predicting the natural frequencies of the system under parameter variations in presence of veering. The obtained modal meta-model is used in combination with a procedure for efficient detection of veering and crossing phenomena without resorting to time-consuming mode tracking procedures. In this way it is possible to design a system which is safe against unexpected modal behavior. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：108 / 116
页数：9
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