Dynamic Responses of the Reid's Hysteretic Damping Model

• Main Authors: Chi-Luen Tzeng, 曾啟倫
• Other Authors: Ching-Tung Huang
• Format: Others
• Language: zh-TW
• Published: 2009
• Online Access: http://ndltd.ncl.edu.tw/handle/07317517760398984259

碩士 === 國立臺灣科技大學 === 營建工程系 === 97 === Dynamic Response of the Reid's Hysteretic Damping Model Thesis Advisor : Ching-Tung Huang Graduate Student : Chi-Luen Tzeng ABSTRACT Response characteristics of single-degree-of-freedom dynamic systems with the classic Reid's Hysteretic Damping Model under simple harmonic loading are investigated in this thesis. The Reid's Hysteretic Damping is characterized by its frequency-independent loss modulus and the causality in its time-domain response. The investigation first focuses on an unstable vibration phenomenon of the indicated system and then is resolved with a two-phase switch mechanism in its controlling equation. The two-phase switch mainly involves a sequence of slide-stick motions whose triggering criteria are defined and the resulting response differences are also studied. The study results show that the stick phenomenon in the displacement response is more likely to occur as the restoring force increases or the external excitation frequency decreases. Likewise, the duration of stick state also increases under the above-mentioned conditions. The notion of equivalent linearization is employed to obtain an analytical approximation. A better response prediction is observed for systems with slight to mild nonlinearity, while the solution precision deteriorates as the degree of nonlinearity increases.