The Vibrations and Energy Analysis of Deploying Cantilever Beam - Details

Author：

Liu, Ming (Liu, Ming.) | Yang, Xiaodong (Yang, Xiaodong.) (Scholars：杨晓东) | Zhang, Wei (Zhang, Wei.) | Qin, Chaohong (Qin, Chaohong.)

Indexed by：

EI Scopus PKU CSCD

Abstract：

The　deploying　cantilever　beam　is　a　model　of　the　typical　time-varying　structural　system.　The　classical　dynamic　theory　cannot　be　used　to　solve　the　vibration　equations　due　to　the　changing　of　mass　and　stiffness.　The　vibrations　and　energy　variations　are　studied　based　on　the　governing　equations.　The　analytical　expressions　of　the　varying　energy　are　obtained　to　show　the　characteristics　of　the　vibration　in　the　stable　and　unstable　region　of　the　system.　Numerical　method　is　employed　to　the　vibration　analysis　and　the　variation　diagrams　of　energy　distributing　among　different　modes　in　unstable　state　are　discussed.　The　results　show　that　the　rule　of　energy　distributing　among　the　modes　is　quite　different　in　the　stable　and　unstable　states.　©　2018,　Editorial　Department　of　JVMD.　All　right　reserved.

Keyword：

Cantilever beams Numerical methods Plasma stability Energy management Nanocantilevers Vibration analysis

Author Community：

[ 1 ] [Liu, Ming]Institute of Advanced Structure Technology, Beijing Institute of Technology, Beijing; 100081, China
[ 2 ] [Yang, Xiaodong]Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
[ 3 ] [Zhang, Wei]Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
[ 4 ] [Qin, Chaohong]Science and Technology on Reliability and Environment Engineering Laboratory, Beijing Institute of Structure and Environment Engineering, Beijing; 100076, China