Dr. Benedikt Weber Profile

Dr. Benedikt Weber

at EMPA

SPIE Involvement:

Author

Publications (1)

This will count as one of your downloads.

You will have access to both the presentation and article (if available).

DOWNLOAD NOW

This content is available for download via your institution's subscription. To access this item, please sign in to your personal account.

Email or Username Forgot your username?

Password Forgot your password?

Show

Keep me signed in

No SPIE account? Create an account

Proceedings Article | 19 May 2005 Paper

Improved iterative regularization for vibration-based damage detection

Benedikt Weber, Patrick Paultre, Jean Proulx

Proceedings Volume 5767, (2005) https://doi.org/10.1117/12.598874

KEYWORDS: Chemical elements, Damage detection, Finite element methods, Earthquakes, Computer simulations, Numerical simulations, Sensors, Data modeling, Nondestructive evaluation, Model-based design

Read Abstract +

A vibration-based damage detection method is presented, which updates a finite element model from measured eigenfrequencies and mode shapes. Changes in stiffness of individual elements are interpreted as damage. The update problem is ill-posed and needs therefore regularization. Tikhonov regularization is a well known regularization method for linear problems. However, the update problem is nonlinear and there are different ways to use Tikhonov regularization in the nonlinear case. The usual way is to linearize the update problem with the sensitivity matrix and then apply regularization in each iteration. This approach has the disadvantage that the regularization effect depends on the number of iterations and may get lost as the number of iterations increases. The problem has been discussed in the mathematical literature but is not widely recognized in the engineering community. The alternative way is to regularize the nonlinear problem and then linearize it. This results in an additional term in the update equation that guarantees that regularization is independent of the number of iterations. Both ways are applied to a two-story frame with simulated measurements. Generalized cross-validation, L-curves, and errors of the update parameters are compared. The simulations confirm that the algorithm characterized by "regularize, then linearize" gives superior results. This algorithm is finally applied to a real frame recently tested in the lab. The frame is part of a full-size structure that has been damaged by pseudo-dynamic tests simulating different earthquake levels.

My Library

You currently do not have any folders to save your paper to! Create a new folder below.

Folder Name

Folder Description

View contact details

UPDATE YOUR PROFILE

Is this your profile? Update it now.

Sign into your SPIE.org account

Don’t have a profile and want one?

Create an account on SPIE.org

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

ORGANIZATIONAL
Sign in with credentials provided by your organization.

Organizational Username

Organizational Password

Show/Hide Password

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:

Non-members: ADD TO CART

Keywords/Phrases

Search In:

Publication Years