A modal identification method to reduce a high-order model: Application to heat conduction modelling

International Journal of Modelling and Simulation

Volumn 17, Issue 3, 1997, Pages 242-249

  Petit, D ^a   Hachette, R ^b   Veyret, D ^b  

^a CNRS   (France)

^b AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

Finite elements; Heat conduction; Identification; Modal analysis; Model reduction; Multivariable linear systems; Optimization; State space representation

Indexed keywords

EID: 0000837537     PISSN: 02286203     EISSN: None     Source Type: Journal    
DOI: 10.1080/02286203.1997.11760336     Document Type: Article

References (21)

1. M. Decoster & A.R. Van Cauwenberghe, A comparative study of different reduction methods (Parts 1, 2), Journal A, 17(3), 1976, 58-74, 125-135.
2. L. Litz, Order reduction of linear state space models via optimal approximation of the nondominant modes (North-Holland Publishing, 1981), Large Scale System 2 171-184.
3. P. Bertrand, G. Duc, & G. Michailesco, Recent developments in model reduction, RAIRO APII, 19, 1985 131-146.
4. E. Eitelberg, Comments on Model Reduction by Minimizing the Equation Error, IEEE Trans. Automatic Control, AC-27(4), August 1982, 1000-1002.
5. T.M. Shih & J.T. Skladany, An eigenvalue method for solving transient heat conduction problem, Numerical Heat Transfer, 6, 1983, 409-422.
6. J. Sicard, P. Bacot, & A. Neveu, Analyse modale des échanges thermiques dans le bâtiment, Int. J. Heat Mass Transfer, 28, 1985, 111-123.
7. G. Lefebvre, J. Bransier, & A. Neveu, Simulation du comportement thermique d'un local par des méthodes numériques d'ordre réduit, Rev. Gén. Therm., 302, February 1987, 106-114.
8. K. El Khoury & A. Neveu, Analyse modale des systèmes thermiques en présence de transferts non réciproques, Int. J. Heat Mass Transfer, 32, 1989, 213-226.
9. M.T. Ben Jaafar, R. Pasquetti, & D. Petit, Model reduction for thermal diffusion: Application of the Eitelberg, Marshall and aggregation methods to a heat transmission tube model, Int. J. for Numerical Methods in Engineering, 29, 1990, 599-617.
10. D. Petit & R. Pasquetti, Low dimension models in thermal diffusion: reduction and identification., Lausanne.sept.1989.Proc. 5th Int. Symp. on Numerical Methods in Engineering, Vol. 2, Lausanne (Computational Mechanics Publications), September 1989, 31-36.
11. D. Petit & R. Pasquetti, Reduction method for linear thermal problem, 9th Int. Heat Transfer Conf., Jerusalem, August 1990, Vol. 3, 133-139.
12. D. Petit & R. Pasquetti, Réduction de modèle par Identification de modes dominants: Application à un modèle bidimensionnel de diffusion thermique, Revue de Physique Appliquée, 29, August 1990, 599-617.
13. D. Petit, Réduction de modèles de connaissance et identification de modèles d'ordre reduit: Application aux processus de diffusion thermique, thèse d'état, University AIX-MARSEILLE I, April 1991.
14. D. Petit, Systèmes thermiques diffusifs: Modélisation de leur comportement par identification de modes dominants, Revue Générale de Thermique, 373, June 1993, 302-311.
15. R. Pasquetti & D. Petit, Analyse modale d'un processus de diffusion thermique: Identification par thermographie infra-rouge, Int. J. Heat Mass Transfer, 31, 1988, 487-496.
16. J.E. Seem, S.A. Klein, W.A. Beckman, & J.W. Mitchell, Model reduction of transfer functions using a dominant root method, J. Heat Transfer, Trans. ASME, 12, August 1990, 547-554.
17. R.N. Mishra & D.A. Wilson, A new algorithm for optimal reduction of multivariable systems. Int. J. Control, 31, 1980, 443-466.
18. J.D. Aplevich, Gradient methods for optimal linear system reduction, Int. J. Control, 18, 1973, 767-772.
19. D. Petit, R. Hachette, & D. Veyret, Model reduction by identification: Application to a teat transfer diffusion process, IASTED Int. Conf.: Modelling, Identification and Control, Grindelwald, Switzerland, February 21-23, 1994, 360-364.
20. S.S. Rao, The finite element method in engineering, 2nd ed. (Oxford: Pergamon Press, 1989).
21. R.D. Cook, Concepts and applications of finite element analysis (New York: John Wiley, 1981).