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2008•Journal of Tangshan CollegeRequires access

1/3 Subharmonic Resonance of Diesel Shafting Subject to Harmonic Moment Excitation

Yang Zhi-an

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Abstract

The nonlinear vibration differential equation of diesel shafting subject to harmonic moment is established by means of Lagrange equation.According to the method of multiple scales for the nonlinear vibration the first approximate solution of 1/3 subharmonic resonance of the system is obtained.The area where 1/3 subharmonic resonance exists is given,numerical analysis of the influences of the excitation,dunting parameter and damping on the system are given too.At last,the simulation analysis is made by means of Simulink model.

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What this paper is about

The nonlinear vibration differential equation of diesel shafting subject to harmonic moment is established by means of Lagrange equation.According to the method of multiple scales for the nonlinear vibration the first approximate solution of 1/3 subharmonic resonance of the system is obtained.The area where 1/3 subharmonic resonance exists is given,numerical analysis of the influences of the excitation,dunting parameter and damping on the system are given too.At last,the simulation analysis is made by means of Simulink model.

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Available abstract

The nonlinear vibration differential equation of diesel shafting subject to harmonic moment is established by means of Lagrange equation.According to the method of multiple scales for the nonlinear vibration the first approximate solution of 1/3 subharmonic resonance of the system is obtained.The area where 1/3 subharmonic resonance exists is given,numerical analysis of the influences of the excitation,dunting parameter and damping on the system are given too.At last,the simulation analysis is made by means of Simulink model.

Key concepts: Resonance (particle physics), Subharmonic, Nonlinear system, Harmonic, Vibration, Excitation, Moment (physics), Mathematical analysis

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