The eigenvalue derivatives of linear damped systems

• Autorzy: Sun Y.-J.
• Języki publikacji: EN

Abstrakty

EN

In this note, the derivatives of eigenvalues with respect to the model parameters for linear damped systems is proposed by means of kronecker algebra and matrix calculus. A numerical example is also provided to illustrate the use of the main result.

Słowa kluczowe

EN

derivatives of eigenvalues; linear damped systems

PL

pochodna wartości własnej

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2003
• Tom: Vol. 32, no 4
• Strony: 735--741
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Sun Y.-J.

• Department of Electrical Engineering I-Shou University Kaohsiung, Taiwan 840, R.O.C

Bibliografia

• Graham, K. (1981) Kronecker Products and Matrix Calculus with Applications. Wiley, New York.
• Hu, B. and Eberhard, P. (1999) Response bounds for linear damped systems. ASME Journal of Applied Mechanics 66, 997-1003.
• Hu, B. and Schiehlen, B. (1996) Amplitude bounds of linear forced vibrations. Archive of Applied Mechanics 66, 357-368.
• Nicholson, D.W. (1987a) Eigenvalue bounds for linear mechanical systems with nonmodal damping. Mech. Res. Commun. 14, 115-122.
• Nicholson, D.W. (1987b) Response bounds for nonclassically damped mechanical systems under transient loads. ASME Journal of Applied Mechanics 54, 430-433.
• Prells, U. and Friswell, M.I. (2000) Calculating derivatives of repeated and nonrepeated eigenvalues without explicit use of eigenvectors. AIAA Journal 38, 1426-1436.
• Schiehlen, W. and Hu, B. (1995) Amplitude bounds of linear free vibrations. ASME Journal of Applied Mechanics 62, 231-233.
• Weinmann, A. (1991) Uncertain Models and Robust Control. Springer-Verlag, New York.
• Yae, K.H. and Inman, D.J. (1987) Response bounds for linear underdamped systems. ASME Journal of Applied Mechanics 54, 419-423