A Kalman filter based strategy for linear structural system identification based on multiple static and dynamic test data

Probabilistic Engineering Mechanics

Volumn 24, Issue 1, 2009, Pages 60-74

  Tipireddy, R ^a   Nasrellah, H A ^b,c   Manohar, C S ^c  

^a GENERAL ELECTRIC COMPANY   (United States)

^b ALZAIEM ALAZHARI UNIVERSITY   (Sudan)

^c INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Dynamic state estimation; Kalman filter; System identification

Indexed keywords

CONTROL THEORY; ELECTRIC LOAD SHEDDING; ELECTRONIC EQUIPMENT TESTING; FREQUENCY RESPONSE; IDENTIFICATION (CONTROL SYSTEMS); KALMAN FILTERS; NONLINEAR CONTROL SYSTEMS; STATE ESTIMATION; STIFFNESS; STIFFNESS MATRIX; TESTING; WAVE FILTERS;

ADDITIVE GAUSSIAN NOISES; AXIAL RIGIDITIES; DAMPING PROPERTIES; DRIVING FREQUENCIES; DYNAMIC PROPERTIES; DYNAMIC STATE ESTIMATION; DYNAMIC STATE ESTIMATIONS; DYNAMIC TESTS; FREQUENCY RESPONSE FUNCTION MATRIXES; INDEPENDENT VARIABLES; INHOMOGENEOUS BEAMS; LINEAR STRUCTURAL SYSTEMS; MEASUREMENT DATUMS; MEASUREMENT EQUATIONS; MOVING LOADS; MULTIPLE SETS; NEUMANN; POINT OF APPLICATIONS; POSTE-RIORS; RECURSIVE ALGORITHMS; STATE VECTORS; STATIC AND DYNAMICS; STATIC LOADS; STATIC TESTS; SYSTEM IDENTIFICATION; SYSTEM PARAMETERS; TRUSS STRUCTURES;

DYNAMIC RESPONSE;

EID: 56449085264     PISSN: 02668920     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.probengmech.2008.01.001     Document Type: Article

References (35)

1. Banan M.R., Banan M.R., and Hjelmstad K.D. Parameter estimation of structures from static response. I: Computational aspects. ASCE Journal of Structural Engineering 120 11 (1994) 3243-3259
2. Banan M.R., Banan M.R., and Hjelmstad K.D. Parameter estimation of structures from static response. II: Numerical simulations. ASCE Journal of Structural Engineering 120 11 (1994) 3260-3283
3. Brown R.G., and Hwang P.Y.C. Introduction to random signals and applied Kalman filtering. 2nd ed. (1992), John Wiley and Sons, Inc., New York
4. Ching J., Beck J.L., and Porter K.A. Bayesian state and parameter estimation of uncertain dynamical systems. Probabilistic Engineering Mechanics 21 1 (2006) 81-96
5. Doebling S.W., Farrar C.R., and Prime M.B. A summary review of vibration-based damage identification methods. The Shock and Vibration Digest 30 (1998) 91-105
6. Doucet A., Godsill S., and Andrieu C. On sequential Monte Carlo sampling methods for Bayesian filtering. Statistics and Computing 10 (2000) 197-208
7. Doucet A., de Freitas N., and Gordon N. Sequential Monte Carlo methods in practice (2001), Springer, New York
8. Ewins D.J. Modal testing: Theory, procedures and applications (2000), Research Studies Press, Badlock
9. Friswell M.I., and Mottershead J.E. Finite element model updating in structural dynamics (1996), Kluwer Academic Publishers, Dordrecht
10. Ghanem R., and Shinozuka M. Structural system identification I: Theory. Journal of Engineering Mechanics, ASCE 121 2 (1995) 264
11. Ghosh S., Manohar C.S., and Roy D. A sequential sampling filter with a new proposal distribution for state and parameter estimation of nonlinear dynamical systems. Proceedings of Royal Society of London, A 464 (2008) 25-47
12. Gordon N.J., Salmond D.J., and Smith A.F.M. Novel approach to nonlinear/non-Gaussian Bayesian state estimation. IEE Proceedings-F 140 2 (1993) 107-113
13. Grewal M.S., and Andrews A.P. Kalman filtering: Theory and practice using matlab (2001), John Wiley and Sons, Inc., New York
14. Hjelstad K.D., and Shin S. Damage detection and assessment of structures from static response. ASCE Journal of Engineering Mechanics 123 6 (1997) 568-576
15. Hoshiya M., and Sato E. Structural identification by extended Kalman filter. ASCE Journal of Engineering Mechanics 112 12 (1984)
16. Hoshiya M., and Sutoh A. Kalman filter-finite element method in identification. ASCE Journal of Engineering Mechanics 119 2 (1993) 197-210
17. Imai H., Yun C.B., Maruyama O., and Shinozuka M. Fundamentals of system identification in structural dynamics. Probabilistic Engineering Mechanics 4 4 (1989) 162-173
18. Kailath T. Lectures on Wiener and Kalman filtering (1981), Springer Verlag, New York
19. Kalman R.E. A new approach to linear filtering and prediction problems, Transactions of ASME. Journal of Basic Engineering 82 Series D (1960) 35-45
20. Ljung L. System identification: Theory for the user (1997), Prentice-Hall, Inc., New Jersey
21. Manohar C.S., and Roy D. Monte Carlo filters for identification of nonlinear systems. Sadhana 31 4 (2006) 399-427
22. Namdeo V., and Manohar C.S. Nonlinear structural dynamical system identification using adaptive particle filters. Journal of Sound and Vibration 306 (2007) 524-563
23. Natke H.G. Problems of model updating procedures: A perspective resumption. Mechanical Systems and Signal Processing 12 1 (1998) 65-74
24. Nejad F.B., Rahai A., and Esfandiari A. A structural damage detection method using static noisy data. Engineering Structures 27 (2005) 1784-1793
25. Paola M.D., and Bilello C. An integral equation for damage identification of Euler-Bernoulli beams under static loads. ASCE Journal of Engineering Mechanics 130 2 (2004) 225-234
26. Pintelon R., and Schoukens J. System identification: A frequency domain approach (2001), IEEE Press, New York
27. Ristic B., Arulampallam S., and Gordon N. Beyond the Kalman filter: Particle filters for tracking applications (2004), Artech House, Boston
28. Sajeeb R, Manohar CS, Roy D. Rao-Blackwellization with substructuring for state and parameter estimations of a class of nonlinear dynamical systems, Transactions of ASME. Journal of Applied Mechanics. 2007 [under review]
29. Sanayei M., and Saletnik M.J. Parameter estimation of structures from static strain measurements. I: Formulation. ASCE Journal of Structural Engineering 122 5 (1996) 555-562
30. Sanayei M., and Saletnik M.J. Parameter estimation of structures from static strain measurements. II: Error sensitivity analysis. ASCE Journal of Structural Engineering 122 5 (1996) 563-572
31. Sanayei M., Imbaro G.R., McClain J.A.S., and Brown L.C. Structural model updating using experimental static measurements. ASCE Journal of Structural Engineering 123 6 (1997) 792-797
32. Shinozuka M., and Ghanem R. Structural system identification II: Experimental verification. Journal of Engineering Mechanics, ASCE 121 2 (1995) 265-273
33. Tanizaki H. Nonlinear filters: Estimation and applications. 2nd ed. (1996), Springer Verlag, Berlin
34. Yeo I., Shin S., Lee H.S., and Chang S.P. Statistical assessment of framed structure from static responses. ASCE Journal of Engineering Mechanics 126 4 (2000) 414-421
35. Yun C.B., and Shinozuka M. Identification of nonlinear structural dynamic systems. Journal of Structural Mechanics 8 2 (1980) 187-203