Dynamic Stability for Timoshenko Beam

• Main Authors: Tzu-Hao Lu, 呂子豪
• Other Authors: Sen-Yung Lee
• Format: Others
• Language: zh-TW
• Published: 2003
• Online Access: http://ndltd.ncl.edu.tw/handle/91188753598116983376

碩士 === 國立成功大學 === 機械工程學系碩博士班 === 91 === The governing equation of the dynamic stability problem of Timoshenko beam subjected to the varied axial loads and associated with the simple supported boundary conditions at two ends is just a fourth order ordinary differential equation with periodic coefficients. Then, use the quasi-periodic condition to investigate the properties of the differential equation. After complicated derivation and proof, the system is stable or not can be obtained by the determination equation. In this thesis, the more accurate results we can get by using the approximate normalized fundamental solutions method. In addition, we will find some unstable region that haven be found yet in the past.