WU Feng, XU Xiao-ming, LI Ming-wu, GAO Qiang, ZHONG Wan-xie. The Basic Equation of Transverse Vibration for Rotor Dynamics[J]. Applied Mathematics and Mechanics, 2015, 36(10): 1011-1018. doi: 10.3879/j.issn.1000-0887.2015.10.001
Citation: WU Feng, XU Xiao-ming, LI Ming-wu, GAO Qiang, ZHONG Wan-xie. The Basic Equation of Transverse Vibration for Rotor Dynamics[J]. Applied Mathematics and Mechanics, 2015, 36(10): 1011-1018. doi: 10.3879/j.issn.1000-0887.2015.10.001

The Basic Equation of Transverse Vibration for Rotor Dynamics

doi: 10.3879/j.issn.1000-0887.2015.10.001
Funds:  The National Natural Science Foundation of China(General Program)(11472067)
  • Received Date: 2015-06-25
  • Rev Recd Date: 2015-09-15
  • Publish Date: 2015-10-15
  • The basic equation of transverse vibration for rotor systems was investigated. First the previous precise nonlinear mathematical model for rotor dynamics, which had been built through the introduction of the Euler angle representation to describe the nonlinear motions of rotors, was discussed. Then a linearized model for rotor dynamics based on the precise nonlinear mathematical model was developed. Results of the numerical tests verify the correctness and validity of the proposed linear basic equation.
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