Study on Vibration Analysis of Curved Beams Using Differential Transform

• Main Authors: Ming-Han Tsai, 蔡明翰
• Other Authors: n
• Format: Others
• Language: zh-TW
• Published: 2004
• Online Access: http://ndltd.ncl.edu.tw/handle/g79v49

碩士 === 崑山科技大學 === 機械工程研究所 === 92 === This study introduces a method using differential transforms to solve the vibration problem of curved beams. First, differential transform is briefly introduced. Second, deriving the governing equations and boundary conditions of curved beams vibration problem and taking differential transform of these equations and boundary conditions, a set of difference equations is derivied. Third, solving algebraic equations and taking inverse differential transform, we can determine any ith natural frequency and coupled vibration mode shape of curved beams. Finally, two vibration problems with fixed and simply-supported boundary conditions are given to illustrate the accuracy and efficiency of the present method.