Ritz vector solution for partial complex modes of general structures and its applications
  
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DOI:10.7511/jslx19981014
KeyWord:eigenproblem, order reduction method, rotor bearign system
Zheng Tiesheng
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Abstract:
      \ In order to obtain the partial complex modes of the general structures an iteration method is established for calculating basis of Ritz vector set of the structural system whatever the stiffness matrix and damping matrix of the system are symmetric or not. From the Ritz vector basis the high order of quadratic eigenproblem of the damping system can reduce to a lower order one and then it can transform to a lower order of standard eigenproblem that can be easily solved by QR method. As an application the dynamic behavior of a real rotor bearing is analyzed by the new method.