Using transfer matrix method to anaiyze the coupling effect of the lateral and torsional deflections in rotor systems

• Main Authors: Juhn-Hau Shau, 邵俊豪
• Other Authors: Juhn-Horng Chen
• Format: Others
• Language: zh-TW
• Published: 2002
• Online Access: http://ndltd.ncl.edu.tw/handle/31539726542340881921

碩士 === 中華大學 === 機械與航太工程研究所 === 90 === This thesis introduces the transfer matrix method for analyzing the coupling effect of the lateral and torsional deflections in rotor systems. Firstly, we use Timoshenco Beam Theorem and Hamilton’s Principle to derive the motion equation of the flexible shaft, and then establish the transfer matrix of the shaft segment. Through assembling the transfer matrices of the shaft segments, disks, and bearings, we can obtain the global transfer matrix of the rotor system. Since the state variables of the transfer matrix include lateral deflections, deflection angles caused by shears and bending moments respectively, shears, bending moments, torque, and torsional angle, it can reveal the real dynamic behavior of rotor systems. The theoretical development of the proposed method is presented with simulation results and discussion.