DocumentCode :
3033586
Title :
On an extension of A. N. Krylov´s numerical method for determining the frequencies of small vibrations of systems with damping
Author :
Kalaba, Robert ; Zagustin, Elena
Author_Institution :
Univ. of So. Calif., Los Angeles, California
Volume :
3
fYear :
1978
fDate :
28581
Firstpage :
846
Lastpage :
847
Abstract :
In many engineering problems we must find the roots of an equation of the form 
where B(λ) is a nonlinear matrix of λ. In this paper we show how this problem may be reduced to integrating a system of ordinary differential equations subject to known initial conditions. The method covers also the case of complex roots. It gives directly the roots i: without the need of forming and solving the characteristic equation.
where B(λ) is a nonlinear matrix of λ. In this paper we show how this problem may be reduced to integrating a system of ordinary differential equations subject to known initial conditions. The method covers also the case of complex roots. It gives directly the roots i: without the need of forming and solving the characteristic equation.Keywords :
Biomedical engineering; Civil engineering; Damping; Differential equations; Frequency; Military computing; Nonlinear equations; Numerical analysis; Vibrations;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '78.
Type :
conf
DOI :
10.1109/ICASSP.1978.1170562
Filename :
1170562
Link To Document :
