0
Research Papers

Identification of Linear Structural Systems With a Limited Set of Input-Output Measurements

[+] Author and Article Information
Jun Yu

LZA Technology, The Thornton Tomasetti Group, Inc., 24 Commerce Street, Newark, NJ 07102jy232@columbia.edu

Maura Imbimbo

Department of Mechanics, Structures and Environment, University of Cassino, Via G. Di Biasio 43, Cassino 03043, Italymimbimbo@unicas.it

Raimondo Betti

Department of Civil Engineering and Engineering Mechanics, Columbia University, 640 S.W. Mudd Building, New York, NY 10027 betti@civil.columbia.edu

J. Appl. Mech 76(3), 031005 (Mar 05, 2009) (10 pages) doi:10.1115/1.3002336 History: Received March 29, 2007; Revised June 06, 2008; Published March 05, 2009

In this paper, a methodology is presented for the identification of the complete mass, damping, and stiffness matrices of a dynamical system using a limited number of time histories of the input excitation and of the response output. Usually, in this type of inverse problems, the common assumption is that the excitation and the response are recorded at a sufficiently large number of locations so that the full-order mass, damping, and stiffness matrices can be estimated. However, in most applications, an incomplete set of recorded time histories is available and this impairs the possibility of a complete identification of a second-order model. In this proposed approach, all the complex eigenvectors are correctly identified at the instrumented locations (either at a sensor or at an actuator location). The remaining eigenvector components are instead obtained through a nonlinear least-squares optimization process that minimizes the output error between the measured and predicted responses at the instrumented locations. The effectiveness of this approach is shown through numerical examples and issues related to its robustness to noise polluted measurements and to uniqueness of the solution are addressed.

FIGURES IN THIS ARTICLE
<>
Copyright © 2009 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 7

3DOF shear-type system—identified mass and stiffness matrices: 10% stiffness reduction at first floor, no noise

Grahic Jump Location
Figure 6

4DOF shear-type system: identified stiffness matrices

Grahic Jump Location
Figure 5

Comparison of the measured response y and the identified responses ŷ=y∗ at different floors of the 4DOF shear-type building for 1DOF unmeasured case

Grahic Jump Location
Figure 4

4DOF shear-type system—identified eigenvectors: Case III

Grahic Jump Location
Figure 3

4DOF shear-type system—identified eigenvectors: Case I

Grahic Jump Location
Figure 2

4DOF shear-type system: exact eigenvectors

Grahic Jump Location
Figure 1

4DOF shear-type building system: reduced-order scenarios

Grahic Jump Location
Figure 8

3DOF shear-type system—K/M ratios: 10% stiffness reduction at first floor, no noise

Grahic Jump Location
Figure 9

3DOF shear-type system—identified mass and stiffness matrices: 10% stiffness reduction at first and second floors, no noise

Grahic Jump Location
Figure 10

3DOF shear-type system—K/M ratios: 10% stiffness reduction at first and second floors, no noise

Grahic Jump Location
Figure 11

3DOF shear-type system—identified mass and stiffness matrices: 10% stiffness reduction at first, 5% rms noise in input and output measurements

Grahic Jump Location
Figure 12

3DOF shear-type system—K/M ratios: 10% stiffness reduction at first floor, 5% rms noise in input and output measurements

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In