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3 SUPERHARMONIC RESONANCE OF WIRE SUBJECTED TO HARMONIC EXCITATION IN TEMPERATURE FIELD

Peng Liu

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Abstract

3 superharmonic resonance of wire subjected to harmonic excitation in temperature field is studied.The nonlinear vibration equation of wire subjected to harmonic excitation in temperature field is established by means of dynamics theory.According to the method of multiple scales for nonlinear vibration analysis,the approximation solution of 3 superharmonic resonance of the system is obtained.Numerical analysis on the influence of temperature,excitation,detuning,and damping on the system is carried out.Critical broken temperature value is acqired.It is pointed out that the system exists jump phenomena.

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What this paper is about

3 superharmonic resonance of wire subjected to harmonic excitation in temperature field is studied.The nonlinear vibration equation of wire subjected to harmonic excitation in temperature field is established by means of dynamics theory.According to the method of multiple scales for nonlinear vibration analysis,the approximation solution of 3 superharmonic resonance of the system is obtained.Numerical analysis on the influence of temperature,excitation,detuning,and damping on the system is carried out.Critical broken temperature value is acqired.It is pointed out that the system exists jump phenomena.

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Available abstract

3 superharmonic resonance of wire subjected to harmonic excitation in temperature field is studied.The nonlinear vibration equation of wire subjected to harmonic excitation in temperature field is established by means of dynamics theory.According to the method of multiple scales for nonlinear vibration analysis,the approximation solution of 3 superharmonic resonance of the system is obtained.Numerical analysis on the influence of temperature,excitation,detuning,and damping on the system is carried out.Critical broken temperature value is acqired.It is pointed out that the system exists jump phenomena.

Key concepts: Subharmonic function, Excitation, Resonance (particle physics), Nonlinear system, Vibration, Field (mathematics), Harmonic, Physics

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