Steady-State Response of Bilinear Hysteresis System with Fractional Damping

碩士 === 國立臺灣科技大學 === 營建工程系 === 105 === This study presents a steady-state response of bilinear fractional damping systems. The order of fractional differential, assumed between 0 and 1, and the fractional damping coefficient are used for parameter studies. The Newmark method is adopted in the numer...

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Bibliographic Details
Main Authors: Rong-Gui Peng, 彭榮貴
Other Authors: Ching-Tung Hung
Format: Others
Language:zh-TW
Published: 2017
Online Access:http://ndltd.ncl.edu.tw/handle/3ytej7
Description
Summary:碩士 === 國立臺灣科技大學 === 營建工程系 === 105 === This study presents a steady-state response of bilinear fractional damping systems. The order of fractional differential, assumed between 0 and 1, and the fractional damping coefficient are used for parameter studies. The Newmark method is adopted in the numerical analysis. Study results show that the fractional damping possesses the characteristics of damping and stiffness effects that sustantially alter the resulting response. In the nonlinear response, the amplitude spectra show a double-peaked phenomenon where the second peaks occur at low external-to-system frequency ratio. Moreover, the displacement shift in the steady-state response is found due to a non-linear transient response. For those cases, the ultimate steady-state equilibrium position is shifed form the zero position. The equilibrium position is found be to varied as the phase of external force changes.