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The aperiodic behaviour of a rigid shaft in short journal bearings
Author(s) -
Holmes A. G.,
Ettles C. M. M.,
Mayes I. W.
Publication year - 1978
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.1620120412
Subject(s) - aperiodic graph , motion (physics) , limit cycle , equations of motion , control theory (sociology) , mathematics , steady state (chemistry) , limit (mathematics) , bearing (navigation) , mathematical analysis , structural engineering , engineering , mechanics , physics , computer science , classical mechanics , chemistry , control (management) , astronomy , artificial intelligence , combinatorics
A study is presented of the symmetrical steady‐state motion of a rigid shaft supported by two ‘short’ (Ocvirk) journal bearings. The equations of motion for a balanced or unbalanced shaft were solved using numerical ‘initial value problem’ techniques. Frequency analysis, which was used to determine the components of the steady‐state motion, confirmed that, for most conditions, the motion was asymptotically periodic comprising a small number of components—principally at synchronous and half synchronous frequency. However, a region of the operating space was found, in which the motion was complex and did not settle to a limit cycle. An estimate of the extent of this region is given and the suspected cause investigated.