|
Abstract: The stability and the stability margin of an elastic rotor
supported by short journal bearings is discussed, focusing particular
attention on its nonlinear aspects. A more reasonable nonlinear unsteaby
oil-film force model, which is determined only by three functions, is
adopted and the explicit analytical formula of oil-film force for short
journal bearing is used for bifurcation and chaos stuby. The extended
phase area stability criterion by trajectory-reduction-coupling in high
dimensional nonlinear systems, which has got an extensive application in
power system stability, is creatively introduced to nonlinear rotor
system, A quantitative criterion of nonlinear rotor system stability is
presented, which is called CPAC (Comparative positive-area criterion),
The definition of stability margin is introduced, A quantitative example
on rotor system stability is given by CPAC.
Key words: Unbalance
elastic rotor Stability margin Comparative positive-area
criterion(CPAC) Bifurcation and chaos
CLC No: TB122
国家自然科学基金“九五”重大项目(19990510)、山西省自然科学基金项目(RC99040)和国家重点基础研究专项经费(G1998020316).
Received 20010516, received in revised form 20011026
|