Detection of minuscule changes in structures from spectral data

Kumar Vikram Singh; Gopal Krishna Srinivas; Amit Shukla; Su-Seng Pang

doi:10.1117/12.716049

11 April 2007 Detection of minuscule changes in structures from spectral data

Kumar Vikram Singh, Gopal Krishna Srinivas, Amit Shukla, Su-Seng Pang

Proceedings Volume 6532, Health Monitoring of Structural and Biological Systems 2007; 65321F (2007) https://doi.org/10.1117/12.716049
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2007, San Diego, California, United States

Abstract

The spectral data i.e. eigenvalues (natural-frequencies) and eigenvectors (mode-shapes), characterizes the dynamics of the system. The dynamic analysis of physical systems leads to certain direct and inverse eigenvalue problems. The direct eigenvalue problem deals in evaluating the spectral behavior of structures for given distributions of physical parameters such as mass, area, stiffness etc. whereas, the estimation of these physical parameters form the spectral data is known as inverse eigenvalue problem. The detection of minuscule (small) changes in the stiffness and mass of the structure, by solving certain inverse eigenvalue problems, is addressed here by considering a grooved axially vibrating rod. In solving direct problems, we have considered two types of eigenvalue problem: (i) traditional algebraic eigenvalue problems and (ii) transcendental eigenvalue problems associated with the continuous system. In conclusion, we have (a) obtained the eigenvalues of damaged rod, (b) analyzed the behavior of the spectral data due to minuscule change in the physical parameters, and (c) determined the different type of spectral data that are required for detecting damage parameters. Several numerical examples are solved here demonstrating the feasibility and accuracy of the identification technique by solving Transcendental Inverse Eigenvalue Problems.

Citation Download Citation

Kumar Vikram Singh, Gopal Krishna Srinivas, Amit Shukla, and Su-Seng Pang "Detection of minuscule changes in structures from spectral data", Proc. SPIE 6532, Health Monitoring of Structural and Biological Systems 2007, 65321F (11 April 2007); https://doi.org/10.1117/12.716049

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
12 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Matrices

Structural health monitoring

Inverse problems

Data modeling

Systems modeling

Algorithm development

Chemical elements

Show All Keywords

Keywords/Phrases

Search In:

Publication Years