Identifiability of stiffness and damping coefficients in Euler-Bernoulli beam equations with Kelvin-Voigt damping

Numerical Functional Analysis and Optimization

Volumn 18, Issue 1-2, 1997, Pages 107-129

  Ito, Kazufumi ^a   Nakagiri, Shin Ichi ^b  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b KOBE UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; DAMPING; DIFFERENTIAL EQUATIONS; INVERSE PROBLEMS; PARAMETER ESTIMATION; STIFFNESS; VIBRATIONS (MECHANICAL);

EULER-BERNOULLI BEAM EQUATIONS; IDENTIFIABILITY PROBLEM; INITIAL VALUE PROBLEMS; KELVIN-VOIGT DAMPING;

NUMERICAL ANALYSIS;

EID: 0030647620     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630569708816750     Document Type: Article

References (16)

1. Banks, H.T., S.S. Gates, I.G. Rosen and Y. Wang (1988), The identification of a distributed parameter model for a flexible structure, SIAM J. Control Opt., 26, 743-762.
2. Banks, H.T. and D.J. Inman (1989), On damping mechanism in beams, CAMS preprint series 89-3, Univ. of Southern California.
3. Banks, H.T. and K. Ito (1988), A unified framework for approximation in inverse problems for distributed parameter systems, Control-Theory and Adv. Tech., 4, 73-90.
4. Clough, R.W. and J. Penzien (1975). Dynamics of Structures, John Wiley and Sons, New York.
5. Hartman, P (1973), Ordinary Differential Equations, John Wiley and Sons, New York.
6. Kato, T (1976), Perturbation Theory for Linear Operators, second edition, Springer, Berlin-Heidelberg-New York.
7. Kunisch, K. and E. Graif (1985), Parameter estimation for the Euler-Bernoulli beam, Mat. Aplicade e Computational. 4, 95-124.
8. Nakagiri, S (1983), Identifiability of linear systems in Hilbert spaces, SIAM J. Control Optim., 21, 501-530.
9. Nakagiri, S. (1993). Review of Japanese work of the last ten years on identifiability in distributed parameter systems. Inverse Problems, 9, 143-191.
10. Nakagiri, S and M. Yamamoto (1989), Identification problems for partial differential equations, Funkcial. Ekvac., 32, 483-505.
11. Russell, D.L (1990), On mathematical models for the elastic beam with frequency proportional damping, Control and Estimation in Distributed Parameter Systems, SIAM Frontiers in Applied. Math.
12. Tanabe, H (1979), Equations of Evolution, Pitman, London.
13. Titchmarsh, E. C (1932), The Theory of Functions, Oxford University Press, Oxford.
14. Titchmarsh, E.C (1948), Introduction to the Theory of Fourier Integrals, Oxford University Press, Oxford.
15. Yamamoto, M. and S. Nakagiri (1992), Identification problems for partial differential equations of hyperbolic type, Scientific Papers of College of Arts and Sciences, Univ. Tokyo, 42, 33-62.
16. Yamamoto, M. and S. Nakagiri (1994), Identifiability of operators for evolution equations in Banach spaces with an application to transport equations, to appear in J. Math. Anal. Appl.