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典型文献
Multiple internal resonances of rotating composite cylindrical shells under varying temperature fields
文献摘要:
Composite cylindrical shells,as key components,are widely employed in large rotating machines.However,due to the frequency bifurcations and dense frequency spectra caused by rotation,the nonlinear vibration usually has the behavior of com-plex multiple internal resonances.In addition,the varying temperature fields make the responses of the system further difficult to obtain.Therefore,the multiple internal res-onances of composite cylindrical shells with porosities induced by rotation with varying temperature fields are studied in this paper.Three different types of the temperature fields,the Coriolis forces,and the centrifugal force are considered here.The Hamilton principle and the modified Donnell nonlinear shell theory are used to obtain the equilib-rium equations of the system,which are transformed into the ordinary differential equa-tions(ODEs)by the multi-mode Galerkin technique.Thereafter,the pseudo-arclength continuation method,which can identify the regions of instability,is introduced to obtain the numerical results.The detailed parametric analysis of the rotating composite shells is performed.Multiple internal resonances caused by the interaction between backward and forward wave modes and the energy transfer phenomenon are detected.Besides,the nonlinear amplitude-frequency response curves are different under different temperature fields.
文献关键词:
作者姓名:
Yunfei LIU;Jun WANG;Jiaxin HU;Zhaoye QIN;Fulei CHU
作者机构:
State Key Laboratory of Tribology,Department of Mechanical Engineering,Tsinghua University,Beijing 100084,China
引用格式:
[1]Yunfei LIU;Jun WANG;Jiaxin HU;Zhaoye QIN;Fulei CHU-.Multiple internal resonances of rotating composite cylindrical shells under varying temperature fields)[J].应用数学和力学(英文版),2022(10):1543-1554
A类:
onances,arclength
B类:
Multiple,internal,resonances,rotating,composite,cylindrical,shells,under,varying,temperature,fields,Composite,key,components,are,widely,employed,large,machines,However,due,frequency,bifurcations,dense,spectra,caused,by,rotation,nonlinear,vibration,usually,has,behavior,plex,multiple,In,addition,make,responses,system,further,difficult,obtain,Therefore,porosities,induced,studied,this,paper,Three,types,Coriolis,forces,centrifugal,considered,Hamilton,principle,modified,Donnell,theory,equilib,rium,equations,which,transformed,into,ordinary,differential,ODEs,Galerkin,technique,Thereafter,pseudo,continuation,method,can,identify,regions,instability,introduced,numerical,results,detailed,parametric,analysis,performed,interaction,between,backward,forward,wave,modes,energy,transfer,phenomenon,detected,Besides,amplitude,curves
AB值:
0.544903
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