| 研究生: |
李佳昌 Lee, Chia-Chang |
|---|---|
| 論文名稱: |
利用輸入修正手段抑制因連續系統運動而引起之殘餘振動之理論研究 Suppression of Motion-induced Residual Vibration of Continuous Systems by Input Shaping |
| 指導教授: |
楊天祥
Yang, Tian-Shiang |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 機械工程學系 Department of Mechanical Engineering |
| 論文出版年: | 2004 |
| 畢業學年度: | 92 |
| 語文別: | 中文 |
| 論文頁數: | 117 |
| 中文關鍵詞: | 懸臂樑 、連續結構 、彈性棒體 、殘餘振動抑制 、輸入修正 |
| 外文關鍵詞: | continuous structure, cantilever beam, input shaping, elastic bar, residual vibration suppression |
| 相關次數: | 點閱:71 下載:1 |
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隨著電子技術的發達,很多在過去受限於電子系統的儀器控制法,最近已經慢慢地嶄露頭角,而輸入修正法便是其中一項在近幾年裡備受矚目儀器控制法,目的是用來抑制系統之殘餘振動。簡單來說,輸入修正是對一動態系統之輸入,依所需之目的修正而分成數個步距,以啟動破壞性干涉來消除其主要振動模態,使物件之整體殘餘振動明顯地減少。
然而現存的輸入修正法大多是針對單自由度或低自由度系統的探討,在此本文便針對無限自由度的連續體系統來進行研究。首先我們針對三個連續結構模型系統(單一端固定之棒體、兩端固定之棒體、以及懸臂樑)來進行殘餘振動抑制效果之討論。而殘餘振動的激發便是來自於對每個系統移動一個預定距離而形成。
很多種輸入修正法被認為對動態連續系統的殘餘振動抑制有很不錯的效果。而本文中的數值解確實也說明了輸入修正法對上述三種連續系統的殘餘振動抑制均有很好的效果;即使是外掛質量或考慮阻尼的影響,只要稍微微調一下輸入修正法的參數,也有很令人滿意的結果。最後,我們以實驗的結果來與本文做比較,也發現其趨勢與效用差距並不大,間接證明我們的研究結果有一定的可信度。
Input shaping has been demonstrated to be an effective means for suppressing motion-induced residual vibration of lightly damped structures. In essence, for linear systems, input shaping simply means decomposing the input of a dynamic system into a series of properly calculated partial inputs, so as to annihilate the dominate vibration modes of the system through destructive interference. The overall residual vibration of the system can then be significantly reduced.
Existing input shaping schemes, however, have largely been designed on the basis of simplified dynamic models having single or low degrees of freedom (DOFs). It is therefore the purpose of this thesis to discuss the design methodology of input shaping by considering continuous systems having infinite DOFs. Specifically, in this thesis we consider three different models of continuous structures—namely a fixed-free bar, a fixed-fixed bar, and a cantilever beam. Residual vibration is induced by moving each of the systems through a prescribed distance. On the basis of the complete dynamics of the continuous systems, various input shaping schemes are proposed to suppress the residual vibration. Results of numerical simulations indicate that the proposed input shaping schemes work effectively to suppress the residual vibration of the three systems considered here, even when the influence of system payload and damping become significant. Some experimental results of the residual vibration of a cantilever beam are also presented to support the theoretical findings of this thesis.
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