Steady-State Response of TMD Structures with Fractional Derivative Damping

• Main Authors: Yi-Jhe Liao, 廖毅哲
• Other Authors: Ching-Tung Hung
• Format: Others
• Language: zh-TW
• Published: 2013
• Online Access: http://ndltd.ncl.edu.tw/handle/14757765924070717692

碩士 === 國立臺灣科技大學 === 營建工程系 === 101 === This paper aims to study fractional differential TMD damping applied to the results. First, introduced Caputo and Riemann-Liouville proposed two definitions of fractional differential. To compare the differences between two definitions by steady-state analytical solution after fractional differential for each function This study is further using the Riemann-Liouville definition of a single degree of freedom system in steady state analysis to discuss the order of fractional differential and the damping ratio of traditional definition with regard to the effect of amplitude and phase angle. Finally, on the use of steady-state analytical solution is derived by fractional differential damping of TMD to analyze the amplitude of main structure under ground motion of cosine and the response of external force. The results in this study showed a fractional differential damping on TMD by adjusting the order of fractional differential damping ratio, the lower order of the fractional differential damping ratio, the lower effect of damping, the higher stiffness of structures. Discuss the change of amplitude of main structure with fractional differential damping used in TMD.