Structural Dynamic System Reconstruction Method for Vibrating Structures
-
Published:2003-12-01
Issue:4
Volume:125
Page:646-653
-
ISSN:0022-0434
-
Container-title:Journal of Dynamic Systems, Measurement, and Control
-
language:en
-
Short-container-title:
Affiliation:
1. Stanford University, Aeronautics and Astronautics Department, Stanford University, 496 Lomita Mall, Durand Building, Stanford, CA 94305, USA
Abstract
To determine the natural frequencies and damping ratios of composite laminated plates, we present an efficient modal parameter estimation technique by developing a residual spectrum based structural dynamic system reconstruction. The modal parameters can be estimated from poles and residues of the system transfer functions derived from the state space system matrices. However, for modal parameter estimation of multivariable and higher order structural systems over broad frequency bands, this noniterative algorithm gives high accuracy in determining the natural frequencies and damping ratios. It is numerically well-behaved unlike iterative frequency-response-function (FRF) curve-fitting methods. We also discuss necessary conditions for convergence in Hankel norm and the error bounds of the approximated transfer function for the IDFT-based reconstruction system. From vibration tests on cross-ply and angle-ply composite laminates, the natural frequencies and damping ratios can be identified from the eigenvalues of the structural dynamic system matrix derived by the reconstruction method from the experimental frequency response functions. These results are compared with those of finite-element analysis and single-degree-of-freedom curve-fitting.
Publisher
ASME International
Subject
Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering
Reference21 articles.
1. SDRC, 1994, IDEAS Test, User Guide Vol II. 2. Ho, B., and Kalman, R., 1966, “Efficient Construction of Linear State Variable Models From Input/Output Functions,” Regelungstechnik, 14, pp. 545–548. 3. Juang, J. N., and Pappa, R. S., 1985, “An Eigensystem Realization Algorithm for Modal Parameter Identification and Model Reduction,” J. Guid. Control Dyn., 8(5), pp. 583–592. 4. Juang, J. N., and Pappa, R. S., 1985, “An Eigensystem Realization Algorithm Using Data Correlation (ERA/DC) for Modal Parameter Identification,” J. Control Theory Adv. Technol., 4(1), pp. 5–14. 5. Liu, K., and Skelton, R. E., 1993, “Q-Markov Covariance Equivalent Realization and its Application to Flexible Structural Identification,” J. Guid. Control Dyn., 16(2), pp. 308–319.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
|
|