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http://dx.doi.org/10.3795/KSME-A.2005.29.10.1321

Complex Modal Analysis of General Rotor System by Using Floquet Theory  

Han Dong-Ju ((주)썬에어로시스 기술연구소)
Lee Chong-Won (한국과학기술원 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.29, no.10, 2005 , pp. 1321-1328 More about this Journal
Abstract
Based upon the Floquet theory, the complex modal solution for general rotor systems with periodically time-varying parameters is newly derived. The complete modal response can be obtained from the orthonormality condition between the time-variant eigenvectors and the corresponding adjoint vectors. The harmonic solutions such as the response and directional special a patterns are then derived in terms of harmonic modes whose coefficients are obtained from the modal analysis. The stability analysis by the Floquet's transition matrix and the eigen-analysis is also performed.
Keywords
Floquet Theory; General Rotor System; Periodically Time-varying System; Adjoint Problem; Modal Analysis; Stability; Harmonic Analysis;
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