Torsional vibration analyses of a damped shafting system using tapered shaft element

• Main Authors: Wu,Feng-Sheng, 吳逢昇
• Other Authors: Wu,Jia-Jang
• Format: Others
• Language: zh-TW
• Published: 2010
• Online Access: http://ndltd.ncl.edu.tw/handle/54924335320126715542

碩士 === 國立高雄海洋科技大學 === 輪機工程研究所 === 98 === This paper presents a tapered shaft element such that the torsional vibration characteristics of a damped shafting system can be easily determined with effect of continuous non-uniformity of the shaft cross-sections being considered. To this end, the shape functions of the tapered shaft element are firstly derived. Then, the stiffness and mass matrices of the last shaft element are determined by means of the Lagrange’s equations. To confirm the reliability of the presented theory, the numerical results obtained from the presented technique are compared with those obtained from a limiting case and good agreement is achieved. Finally, the torsional vibration analysis of a hybrid (tapered) shaft, composed of multiple uniform and tapered shaft segments and carrying multiple disks, is performed to show the applicability of the presented technique. Influence of some relevant parameters, such as damping coefficient, slope of tapered shaft and total number of disks attached to the shaft, on the first five eigenvalues of a torsional shafting system is also investigated. Because the torsional vibration characteristics of a shafting system are important information for the engineers, the presented technique will be significant in practical applications.