The Fictitious Time Integration Method and Characteristic Time Expansion Method for Estimating Nonlinear Restoring Force

• Main Authors: Shih-Ann Chien, 簡世安
• Other Authors: Chein-Shan Liu
• Format: Others
• Language: zh-TW
• Published: 2009
• Online Access: http://ndltd.ncl.edu.tw/handle/38765095275543975855

碩士 === 國立臺灣海洋大學 === 機械與機電工程學系 === 97 === For the inverse vibration problem, we propose the Fictitious Time Integration Method (FTIM) and the Characteristic Time Expansion Method (CTEM) to estimate the non-linear restoring force by using displacement data as input. In the Fictitious Time Integration Method, by introducing a fictitious time , we transform the Non-linear Algebraic Equations (NAEs) into the Ordinary Differential Equations (ODEs), and then we could obtain the numerical result by applying the Group Preserving Scheme (GPS). On the other hand, the Characteristic Time Expansion Method by introducing the characteristic time in the polynomial interpolation method, which may improve the ill-posedness of interpolation by high-order polynomials. From the numerical examples examined, both of the results in numerical methods for estimating non-linear restoring force have high stability and high accuracy.