The application of reduced space harmonic balance method for the nonlinear vibration problem in rotor dynamics

• Haitao Liao ^[1]
  1. [1] Beijing Institute of Technology

     Beijing Institute of Technology

     China

     
• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 47, Nº. 2, 2019, págs. 154-174
• Idioma: inglés
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• Resumen

  • The reduced space harmonic balance method is demonstrated to find the maximum vibration responses of rotor systems. Within the reduced space SQP method, transition from the high dimensional optimization space to the desired reduced space is accomplished by resorting to the null space decomposition technique, resulting in the elimination of the harmonic balance constraints. Numerical examples of rotor systems are presented to show the applicability of the proposed methodology.