The Krylov - Bogoliubov and Galerkin Methodsfor
نویسنده
چکیده
1 P. YU ET AL. KB AND GALERKIN METHODS 2 SUMMARY The objective of this paper is to consider the dynamic motions of second order, weakly nonlinear, discrete systems. The main attention is focused on a comparison, for such systems, of the method of Krylov-Bogoliubov (KB) and an enhanced Galerkin (EG) method which produce seemingly diierent solutions. Despite the apparent diierences, the two methods are shown to give identical rst-order periodic and quasi-periodic solutions and the same stability conditions for internal and external resonances as well as a non-resonance. The ease of applying one or the other method depends whether a system is resonant and upon the number of participating modes. Both approaches are used here to analyze illustrative examples pertinent to galloping.
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