Direct way of computing the variability of modal assurance criteria

被引：14

作者：

Li, Li ^{[1
]}

Hu, Yujin ^{[1
]}

Wang, Xuelin ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Mech Sci & Engn, Wuhan 430074, Peoples R China

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2014年 / 55卷

基金：

中国国家自然科学基金;

关键词：

Modal assurance criteria; Design sensitivity analysis; Model updating; Modal analysis; Structural damage detection; DISTINCT NATURAL FREQUENCIES; ASYMMETRIC DAMPED SYSTEMS; ALGEBRAIC-METHOD; EIGENSOLUTION DERIVATIVES; EIGENVECTOR DERIVATIVES; REPEATED EIGENVALUES; SHAPE SENSITIVITIES; NELSONS METHOD; STRAIN-ENERGY; COMPUTATION;

D O I：

10.1016/j.mechrescom.2013.10.021

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The study considers the variability of modal assurance criteria (MAC) for undamped systems with distinct eigenvalues, which is often approximated by the first-order Taylor series. So far all the methods for computing the sensitivity of MAC value belong to the indirect method. This study presents a direct method carried out by constructing a Lagrange function. When the number of design variables is larger than one, the proposed method will be efficient in computational time and storage capacity. The validity is illustrated using a numerical example. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：53 / 58

页数：6

共 31 条

[1] Rates of change of eigenvalues and eigenvectors in damped dynamic system [J].

Adhikari, S .

AIAA JOURNAL, 1999, 37 (11) :1452-1458

[2] Calculation of eigensolution derivatives for nonviscously damped systems using Nelson's method [J].

Adhikari, S. ;

Friswell, M. I. .

AIAA JOURNAL, 2006, 44 (08) :1799-1806

[3] Derivative of eigensolutions of nonviscously damped linear systems [J].

Adhikari, S .

AIAA JOURNAL, 2002, 40 (10) :2061-2069

[4] Eigenderivative analysis of asymmetric non-conservative systems [J].

Adhikari, S ;

Friswell, MI .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2001, 51 (06) :709-733

[5]

Allemang RJ, 2003, SOUND VIB, V37, P14

[6] Results obtained by minimising natural frequency and mac-value errors of a plate model [J].

Bohle, K ;

Fritzen, CP .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2003, 17 (01) :55-64

[7] Eigensensitivity computation of asymmetric damped systems using an algebraic approach [J].

Chouchane, Mnaouar ;

Guedria, Najeh ;

Smaoui, Hichem .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2007, 21 (07) :2761-2776

[8] RATES OF CHANGE EIGENVALUES AND EIGENVECTORS [J].

FOX, RL ;

KAPOOR, MP .

AIAA JOURNAL, 1968, 6 (12) :2426-&

[9]

Friswell M.I., 1995, Finite Element Model Updating in Structural Dynamics.

[10] Derivatives of complex eigenvectors using Nelson's method [J].

Friswell, MI ;

Adhikari, S .

AIAA JOURNAL, 2000, 38 (12) :2355-2357

← 1 2 3 4 →