Symmetric inverse eigenvalue vibration problem and its application

Mechanical Systems and Signal Processing

Volumn 15, Issue 1, 2001, Pages 11-29

  Starek, L ^a   Inman, D J ^b  

^a SLOVAK UNIVERSITY OF TECHNOLOGY   (Slovakia)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; INVERSE PROBLEMS; LINEAR SYSTEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING; VECTORS;

COEFFICIENT MATRICES; DAMAGE DETECTION; LINEAR VIBRATING SYSTEMS; SYMMETRIC INVERSE EIGENVALUE PROBLEM;

VIBRATIONS (MECHANICAL);

EID: 0034836234     PISSN: 08883270     EISSN: None     Source Type: Journal    
DOI: 10.1006/mssp.2000.1349     Document Type: Article

References (13)

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2. L. STAREK and D. J. INMAN 1997 ASME Journal of Applied Mechanics 64, 601-605. A symmetric inverse vibration problem for non-proportional, underdamped system.
3. I. GOHBERG et al. 1982 Matrix Polynomials. New York: Academic Press.
4. O. DANEK 1982 Strojnicky Casopis 33, 667-680. Non conservative dynamic systems. (In Czech).
5. G. M. L. GLADWELL 1986 Inverse Problems Vibration. Boston, MA: Martinus Nijhoff Publishers.
6. P. LANCASTER and J. MAROULAS 1987 Journal of Mathematical Analysis and Application, 123, 238-261. Inverse eigenvalue problems for damped vibrating systems.
7. L. STAREK and D. J. INMAN 1991 ASME Journal of Applied Mechanics 58, 1101-1104. On the inverse vibration problem with rigid body modes.
8. L. STAREK and D. J. INMAN 1995 Journal of Sound and Vibration 181, 893-903. A symmetric inverse vibration problem with over-damped modes.
9. L. STAREK, D. J. INMAN and D. J. PILKEY 1995 Proceedings of Design Engineering Technical Conference, Boston, MA, DE-Vol. 84-3, Vol. 3-Part C, ASME, 1089-1094. A symmetric positive definite inverse vibration problem with underdamped modes.
10. L. STAREK, D. J. INMAN and M. MUSIL 1997a ASME Design Engineering Technical Conferences, 16th Biennal Conference on Mechanical Vibration and Noise, DECT97/VIB-4158 Sacramento, CA, 1-5. Updating of non-conservative structure using measured data via inverse methods.
11. L. STAREK, D. J. INMAN and M. MUSIL 1997b Proceedings of 5th International Congress on Sound and Vibration, University of Adelaide, South Australia, 1571-1574. Updating of non-conservative structures via inverse methods with parameter subset selection.
12. S. W. DOEBLING et al. 1998 The Shock and Vibration Digest Vol. 30, No. 2, 91-105. Review of Vibration-based Damage Identification Methods.
13. N. A. J. LIEVEN and D. J. EWINS 1990 8th IMAC 605-609. Expansion of modal data for correlation.