Mutual Residual Energy Method for Parameter Estimation in Structures
Publication: Journal of Structural Engineering
Volume 118, Issue 1
Abstract
In this work we describe an approach to parameter estimation of complex linear structures that we call the mutual residual energy approach. We have endeavored to develop a unified approach to the discrete inverse problems describing static equilibrium and free, undamped vibration, with a particular view toward evolving methods that are amenable to large‐scale computation. The mutual residual energy method is based on the assumption that the topology and geometry of the structure are known, and that the system matrices can be linearly parameterized in terms of kernel matrices that have a solid physical basis and are easy to assemble. Measured motions of the structure and used (in conjunction with measured loads for the static case) to make estimates of the constitutive parameters. The method is based on a particular statement of the principle of virtual work and yields equations for estimating stiffness and mass parameters of linear structures. A condensation procedure is presented to deal with the case of incompletely measured systems. The quantity and quality of response measurements required, the consequences of noisy data, and the choice of load form are among the issues important to the success of our parameter estimation scheme. A numerical simulation is presented to demonstrate the features of the method.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Berman, A., and Nagy, J. (1983). “Improvement of a large analytical model using test data.” AIAA J., 21(8), 1168–1173.
2.
Dennis, J. E., Jr., and Schnabel, R. B. (1983). Numerical methods for unconstrained optimization and nonlinear equations. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
3.
Ewins, D. J. (1984). Modal testing: theory and practice. John Wiley and Sons, Inc., New York, N.Y.
4.
Eykhoff, P. (1974). System identification, parameter and state estimation. John Wiley and Sons, Inc., New York, N.Y.
5.
Fritzen, C.‐P. (1986). “Identification of mass, damping, and stiffness matrices of mechanical systems.” J. Vibration, Acoustics, Stress, and Reliability in Design, 108 (Jan.), 9–16.
6.
Hjelmstad, K. D., Wood, S. L., and Clark, S. J. (1990). “Parameter estimation in complex linear structures. Report No. SRS 557, UILU‐ENG‐90‐2015, Univ. of Illinois, Urbana, ILL.
7.
Lim, T. W. (1990). “Submatrix approach to stiffness matrix correction using model test data.” AIAA J., 28(8), 1123–1130.
8.
Sanayei, M., and Nelson, R. B. (1986). “Identification of structural element stiffnesses from incomplete static test data.” Paper No. 861793, SAE, Warrendale, Pa., 1–12.
9.
Sheena, Z., Unger, A., and Zalmanovich, A. (1982). “Theoretical stiffness matrix correction by using static test results.” Israel J. Tech., 20, 245–253.
Information & Authors
Information
Published In
Copyright
Copyright © 1992 ASCE.
History
Published online: Jan 1, 1992
Published in print: Jan 1992
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.