https://scholars.lib.ntu.edu.tw/handle/123456789/169094
標題: | 結構控制的摩擦振動理論(2/2) | 作者: | 洪宏基 | 關鍵字: | friction;friction damper;vibration;semi-active control;robust control;Hamiltonian;symplectic group;Lorentz group | 公開日期: | 2003 | 出版社: | 臺北市:國立臺灣大學土木工程學系暨研究所 | 摘要: | The two-year project was proposed to study friction vibration control of engineering structures under external disturbances, including the topics of friction laws, analytic-dynamic framework, and semi-active control. The former two problems were studied in the first year whereas the last two as well as some ensuing issues of the first one were studied in the second year. The present report is the second year final report. For friction laws, we generalize the Coulomb friction law in which the friction force remains constant during sliding and the friction sliding is allowed in only one dimension, to be non-constant and two-dimensional and moreover n-dimensional. The resulting two or n-dimensional friction laws allow the sliding friction force to have a path effect with possible sliding on a plane or n-dimensional space, and all feature internal symmetry characterized by the projective Lorentz or Poincar´e groups with different domains of definition and group parameters. We succeed in establishing an analytic-dynamic framework for motion and constitutive laws and obtaining its Hamiltonians and canonical equations. Thus, we reveal their inherent symmetries characterized by symplectic groups. For active control of engineering structures, embracing robustness into our previously developed control law of contractive symplectic group (CSG), we obtain a robust active CSG control law. Furthermore, we combine the active control with the passive control by friction damper, resulting in a robust semi-active CSG control law for vibration abatement. |
URI: | http://ntur.lib.ntu.edu.tw//handle/246246/2811 | 其他識別: | 912211E002071 | Rights: | 國立臺灣大學土木工程學系暨研究所 |
顯示於: | 土木工程學系 |
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912211E002071.pdf | 791.52 kB | Adobe PDF | 檢視/開啟 |
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