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A matrix for the solution of mixed rotating and non‐rotating vibration systems
Author(s) -
Ramsden J. N.
Publication year - 1969
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620010303
Subject(s) - vibration , matrix (chemical analysis) , gravitation , mass matrix , classical mechanics , physics , engineering , materials science , acoustics , nuclear physics , neutrino , composite material
A method is presented based on matrix algebra for the dynamic analysis of a mixed rotating and non‐rotating vibration system. Such systems occur in practice when turbo‐alternator sets are mounted on flexible steel foundations. The mathematical model considered consists of a rotating non‐uniform, bi‐symmetric shaft connected via three or more flexible‐film bearings to a flexible structure throughout which mass is distributed. The shaft, which is assumed to rotate at constant speed, is heavy, flexible and carries several rigid axi‐symmetric discs. Viscous damping is assumed to act in all parts of the system and gravitational effects are ignored.