Dynamic Stability of the String-Rotor Coupling System

• Main Authors: Shieh ,Jen Song, 謝禎松
• Other Authors: Fung, Rong-Fong
• Format: Others
• Language: zh-TW
• Published: 1995
• Online Access: http://ndltd.ncl.edu.tw/handle/25146768600227401429

碩士 === 中原大學 === 機械工程研究所 === 83 === This thesis studies a string/rotor coupling system. By using Hamilton's principle, we can derive the equations of motion of the system. Then the partial deferential equations can be simplified as ordinary differential equations by means of Galerkin method. As assumed the initial tension is characterized as a small perturbation superimposed upon a steady-state value, the system will be a weakly nonautonomous system. Thus the perturbation method can be used to obtain periodic solution for the system. Herein multiple- scale method is used to obtaint the domain of instability as a function of the perturbation frequency. The results is used to estimate the location and extendof resonance instability due to the coupling of internal and paramtric resonance.