Title:	Generalized modal reduction method for the dynamic analysis ofrotating mechanical systems
Authors:	Zeman, Vladimír Hlaváč, Zdeněk
Citation:	Applied and Computational Mechanics. 2020, vol. 14, no. 1, p. 81-98.
Issue Date:	2020
Publisher:	University of West Bohemia
Document type:	článek article
URI:	http://hdl.handle.net/11025/38414
ISSN:	1802-680X (Print) 2336-1182 (Online)
Keywords:	metoda modální redukce;komplexní modální hodnoty;rotační systémy;nelineární spojky
Keywords in different language:	modal reduction method;complex modal values;rotating systems;nonlinear couplings
Abstract in different language:	The paper proposes modal reduction method of the dynamic systems composed of linear nonconservative sub-systems coupled by nonlinear discrete couplings. Classical approach to the modal reduction is based on thetransformation of the generalized coordinates by the real modal submatrix of the linear conservative part of thewhole system. In case of modal synthesis method, transformation matrices are the real modal submatrices of theconservative part of mutually isolated subsystems. Rotating mechanical systems contain gyroscopic effects andother influences of rotation and damping. The paper introduces a generalized modal reduction method based on thecomplex modal values of the whole system or the isolated subsystems. Their complex eigenvalues and eigenvectorsare used for transformation of the generalized coordinates and reduction of the number of degrees of freedom. Thepresented method is focused on vibrating rotating systems with gyroscopic and dissipative effects and nonlinearinternal couplings.
Rights:	© University of West Bohemia
Appears in Collections:	Články / Articles (NTIS) Volume 14, number 1 (2020) Volume 14, number 1 (2020)

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