Numerical analysis of multi-degree of freedom problems in nonlinear dynamics for rotating machine systems
  Revised:October 13, 2003
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DOI:10.7511/jslx20054078
KeyWord:rotor-bearing system,nonlinear oil-film force,numerical stability,nonlinear dynamics characteristics
QIU Chun-hang~*  LI Wei-dong  
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Abstract:
      Rotors mounted on fluid film bearings of turbines carry one or more disks. The total number of unknowns to be determined for their computational model may range up to several hundreds. This paper focuses on numerical analyzing for nonlinear dynamics system with multi-d.o.f. First two numerical methods to solve nonlinear dynamic response are formulated, and are successfully used in the analysis of an example with 112 d.o.f. of 200 MW rotor subjected to unsteady and nonlinear oil-film force, in which the disk unbalance and gravity effects have been taken into account. To examine the efficiency and reliability of the methods formulated in this paper, the examples are also used to study nonlinear dynamics phenomena, such as periodic doubling, quasi-periodic, and chaotic motion etc. The computational results have shown that the numerical stability of the method plays a very significant role. It must be pointed out that Runge-Kutta method is out of control for the 200 MW example.