Bifurcations of the nonlinear vibro-acoustic coupling of a Duffing Oscillator-plate structure system
作者单位：Department of Weaponry EngineeringNaval University of Engineering
会议名称：《中国交叉科学学会第15届学术年会》
会议日期：2014年
学科分类：12[管理学] 083002[工学-环境工程] 1204[管理学-公共管理] 120402[管理学-社会医学与卫生事业管理(可授管理学、医学学位)] 0830[工学-环境科学与工程（可授工学、理学、农学学位）] 08[工学] 0837[工学-安全科学与工程]
基 金：supported by National Natural Science Foundation of China(Grant No.11372350)
关 键 词：vibro-acoustic coupling system plate structure Duffing oscillator bifurcation IHB method
摘 要：The bifurcations of the nonlinear vibro-acoustic coupling system consisted by a Duffing oscillator and a plate structure are investigated by the incremental harmonic balance（IHB）method and the modal superposition *** 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 *** IHB method and the Floquet theory are employed to derive the solution and the stability of the vibro-acoustic coupling *** 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 *** repeating the procedure,a series bifurcation points and the solutions are ***,the surface average velocity level and the acoustic radiation power level of the plate are defined based in different period *** 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 *** the first bifurcation,the vibro-acoustic characteristics of the plate are changed.