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1/3 SUBHARMONIC RESONANCE OF SUSPENDED CABLE SUBJECTED TO HARMONIC EXCITATION IN TEMPERATURE FIELD

Yang Zhi-an

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Abstract

1/3 subharmonic resonance of suspended cable subjected to harmonic excitation in temperature field is studied. The nonlinear vibration equation of cable subjected to harmonic excitation in temperature field is established by means of dynamics theory. According to the method of multiple scales for nonlinear vibrations the approximation solution of 1/3 subharmonic resonance of the system is obtained. Numerical analysis on the influence of temperature, excitation, detuning, and damping on the system is carried out. Suspended cable may break when critical temperature difference occurs. With the increasing of detuning and temperature difference, amplitude response curves increase. With the increase of damping, amplitude frequency curves move to the opening mouth.

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What this paper is about

1/3 subharmonic resonance of suspended cable subjected to harmonic excitation in temperature field is studied. The nonlinear vibration equation of cable subjected to harmonic excitation in temperature field is established by means of dynamics theory. According to the method of multiple scales for nonlinear vibrations the approximation solution of 1/3 subharmonic resonance of the system is obtained. Numerical analysis on the influence of temperature, excitation, detuning, and damping on the system is carried out. Suspended cable may break when critical temperature difference occurs. With the increasing of detuning and temperature difference, amplitude response curves increase. With the increase of damping, amplitude frequency curves move to the opening mouth.

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Available abstract

1/3 subharmonic resonance of suspended cable subjected to harmonic excitation in temperature field is studied. The nonlinear vibration equation of cable subjected to harmonic excitation in temperature field is established by means of dynamics theory. According to the method of multiple scales for nonlinear vibrations the approximation solution of 1/3 subharmonic resonance of the system is obtained. Numerical analysis on the influence of temperature, excitation, detuning, and damping on the system is carried out. Suspended cable may break when critical temperature difference occurs. With the increasing of detuning and temperature difference, amplitude response curves increase. With the increase of damping, amplitude frequency curves move to the opening mouth.

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

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