Vibro-acoustic characteristics of plate under Duffing oscillator’s excitation
For the acoustic radiation problem of structure under nonlinear vibration excitations, the vibro-acoustic coupling dynamic equations of plate under Duffing oscillator’s excitation were derived based on variational principle. The approximately analytical solution of coupled equations in light liquid was given by modal expansion and incremental harmonic balance method. The expressions of quadratic velocity and acoustic radiation power under multi-frequency also were given. Then the influences of excitation frequency and nonlinear stiffness to the nonlinear vibration and acoustic radiation were investigated. The results show that the vibro-acoustic coupling problem of plate under Duffing oscillator’s excitation is a complex dynamic problem containing discrete and continuous system. There are second jump phenomena and new resonant characters in Duffing oscillator’s motion. The vibro-acoustic characteristics of plate are determined by third harmonic component. The results are significant for the vibro-acoustic designing of vibration isolation.
Department of Weaponry Engineering，Naval University of Engineering，Wuhan 430033，China
Abstract：For the acoustic radiation problem of structure under nonlinear vibration excitations, the vibro-acoustic coupling dynamic equations of plate under Duffing oscillator’s excitation were derived based on variational principle. The approximately analytical solution of coupled equations in light liquid was given by modal expansion and incremental harmonic balance method. The expressions of quadratic velocity and acoustic radiation power under multi-frequency also were given. Then the influences of excitation frequency and nonlinear stiffness to the nonlinear vibration and acoustic radiation were investigated. The results show that the vibro-acoustic coupling problem of plate under Duffing oscillator’s excitation is a complex dynamic problem containing discrete and continuous system. There are second jump phenomena and new resonant characters in Duffing oscillator’s motion. The vibro-acoustic characteristics of plate are determined by third harmonic component. The results are significant for the vibro-acoustic designing of vibration isolation.
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