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STUDY ON 1/3 SUBHARMONIC RESONANT OF THE BELT DRIVER MECHANISM

Li Gao

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Abstract

The nonlinear vibration differential equation for vibration the belt driver mechanism is derived by means of Lagrange equation.By the method of multipul scales the first approximate solution for steady state solutions of the 1/3 subharmonic resonance is obtained.Numerical analysis on the influences of the length,cross section area,external excitation,detuning,and damping on subharmonic resonance is carried out.Some new dynamical phenomena are revealed.

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What this paper is about

The nonlinear vibration differential equation for vibration the belt driver mechanism is derived by means of Lagrange equation.By the method of multipul scales the first approximate solution for steady state solutions of the 1/3 subharmonic resonance is obtained.Numerical analysis on the influences of the length,cross section area,external excitation,detuning,and damping on subharmonic resonance is carried out.Some new dynamical phenomena are revealed.

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Available abstract

The nonlinear vibration differential equation for vibration the belt driver mechanism is derived by means of Lagrange equation.By the method of multipul scales the first approximate solution for steady state solutions of the 1/3 subharmonic resonance is obtained.Numerical analysis on the influences of the length,cross section area,external excitation,detuning,and damping on subharmonic resonance is carried out.Some new dynamical phenomena are revealed.

Key concepts: Subharmonic, Resonance (particle physics), Mechanism (biology), Vibration, Nonlinear system, Physics, Excitation, Differential equation

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