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2011•Journal of Hebei University of TechnologyRequires access

Analysis of 1/3 subharmonic resonance of belt boat-bridge subjected to moving harmonic excitation in temperature field

Qingzi Ge

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Abstract

tudy on 1/3 subharmonic resonance of a belt boat-bridge subjected to moving harmonic excitation in tempera-ture field.Applying the elastic theory and Galerkins' method,the nonlinear dynamical equation of a belt boat-bridge sub-jected to moving harmonic excitation in a temperature field is established.By means of the method of multiple scales,the approximate solution of the 1/3 subharmonic resonance of the system is obtained and numerical calculations are carried out.The influences of the detuning,load,damping ratio and temperature on the response curves of the system are researched.Meanwhile the control of the velocity feedback coefficient to 1/3 subharmonic resonance are analyzed.

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tudy on 1/3 subharmonic resonance of a belt boat-bridge subjected to moving harmonic excitation in tempera-ture field.Applying the elastic theory and Galerkins' method,the nonlinear dynamical equation of a belt boat-bridge sub-jected to moving harmonic excitation in a temperature field is established.By means of the method of multiple scales,the approximate solution of the 1/3 subharmonic resonance of the system is obtained and numerical calculations are carried out.The influences of the detuning,load,damping ratio and temperature on the response curves of the system are researched.Meanwhile the control of the velocity feedback coefficient to 1/3 subharmonic resonance are analyzed.

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Available abstract

tudy on 1/3 subharmonic resonance of a belt boat-bridge subjected to moving harmonic excitation in tempera-ture field.Applying the elastic theory and Galerkins' method,the nonlinear dynamical equation of a belt boat-bridge sub-jected to moving harmonic excitation in a temperature field is established.By means of the method of multiple scales,the approximate solution of the 1/3 subharmonic resonance of the system is obtained and numerical calculations are carried out.The influences of the detuning,load,damping ratio and temperature on the response curves of the system are researched.Meanwhile the control of the velocity feedback coefficient to 1/3 subharmonic resonance are analyzed.

Key concepts: Resonance (particle physics), Excitation, Subharmonic, Harmonic, Bridge (graph theory), Nonlinear system, Field (mathematics), Subharmonic function

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