Bifurcations of the nonlinear vibro-acoustic coupling of a Duffing Oscillator-plate structure system
The bifurcations of the nonlinear vibro-acoustie coupling system consisted by a Duffing oscillator and a plate structure are investigated by the incremental harmonic balance (IHB) method and the modal superposition method.Using Hamilton principle, the nonlinear vibro-acoustic coupling equations of the Duffing oscillator-plate structure system are developed.The displacement and the surface pressure of plate are expressed in terms of normal modes based on boundary conditions by the modal superposition method.The IHB method and the Floquet theory are employed to derive the solution and the stability of the vibro-acoustic coupling equations.Based on the type of bifurcation, the solution of the coupling equations is constructed, and the IHB method and the Floquet theory are applied to obtain the solution of the coupling equations and the stability.By repeating the procedure, a series bifurcation points and the solutions are determined.Then, the surface average velocity level and the acoustic radiation power level of the plate are defined based in different period motion.The results show that there are imaginary parts in the coupling system due to the acoustic pressure, the bifurcations of the Duffing oscillator are delayed, and the stability is advanced.After the first bifurcation, the vibro-acoustic characteristics of the plate are changed.
vibro-acoustic coupling system plate structure Duffing oscillator bifurcation IHB method
Qizheng Zhou Deshi Wang
Department of Weaponry Engineering, Naval University of Engineering, Wuhan, Hubei Province 430033, People”s Republic of China
国内会议
郑州
英文
56-68
2014-08-07（万方平台首次上网日期，不代表论文的发表时间）