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Stability of Nonlinear Vibrations of a Deploying Flexible Beam
作者姓名:李俊峰  王照林
作者单位:Li Junfeng,Wang Zhaolin Department of Engineering Mechanics,Tsinghua University,Beijing 100084
摘    要:StabilityofNonlinearVibrationsofaDeployingFlexibleBeam*LiJunfeng(李俊峰),WangZhaolin(王照林)DepartmentofEngineeringMechanics,Tsingh...


Stability of Nonlinear Vibrations of a Deploying Flexible Beam *
Li Junfeng,Wang Zhaolin.Stability of Nonlinear Vibrations of a Deploying Flexible Beam[J].Tsinghua Science and Technology,1997(2).
Authors:Li Junfeng  Wang Zhaolin
Institution:Li Junfeng,Wang Zhaolin Department of Engineering Mechanics,Tsinghua University,Beijing 100084
Abstract:A rigid flexible coupled system which consists of a central rigid body deploying a flexible appendage is considered. The appendage is modeled as a finite deflection beam having linear constitutive equations. By taking the energy integral as Lyapunov function, it is proved that nonlinear transverse vibrations of the beam undergoing uniform extension or retrieval are stable when there are not controlling moment in the central rigid body and driving force on the beam, according to the partial stable theorem.
Keywords:deploying flexible beam  rigid  flexible coupled system  partial stability
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