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Stability of equilibrium state of a kind of nonlinear relative rotation dynamic system and associated harmonic approximate solution

Meng Zong Liu Bin

Stability of equilibrium state of a kind of nonlinear relative rotation dynamic system and associated harmonic approximate solution

Meng Zong, Liu Bin
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Publishing process
  • Received Date:  07 June 2007
  • Accepted Date:  28 June 2007
  • Published Online:  20 March 2008

Stability of equilibrium state of a kind of nonlinear relative rotation dynamic system and associated harmonic approximate solution

  • 1. 燕山大学电气工程学院, 秦皇岛 066004

Abstract: The nonlinear dynamic equation with two masses in relative rotation is established, which contains a kind of generalized nonlinear elastic force. Using variable gradient method, the Lyapunov function is gotten, and the stability of the relative rotation nonlinear autonomous system is studied. The approximate solution of the associated harmonic response of the relative rotation nonlinear non-autonomous system under two forcing excitations of different frequencies is obtained by the method of perturbation.

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