本論文主要在探討轉移矩陣法(Transfer Matrix Method; TMM)用於非線性凸輪系統之動態響應分析之適用性，及系統共振頻率與模態變化情形，文中並以四階藍日庫達(Runge-Kutta)數值方法分析此凸輪非線性系統中各組件之動態響應。
文中所分析之凸輪系統為一高速自動化軋盒機，該軋盒機系統藉一肘節機構及一齒凸輪機構，產生軋座之簡諧運動及輸紙系統之間歇運動，相互配合以完成自動化高速軋紙工作。其動力源為一25馬力之交流感應馬達，馬達動力經飛輪、蝸輪等所構成之轉動系統，傳遞至後端具時變特性之齒凸輪系統。文中藉Holzer轉移矩陣法之等效飛輪及等效齒輪系方法，將其齒輪系傳動系統簡化成一分支扭轉軸系統，探討擬線性系統動態參數與響應變化；非線性動態響應部份，則考慮感應馬達隨扭矩變轉速及凸輪組之轉速時變特性，文中分就三種不同凸輪運動曲線設計及七種工作速度下，分析系統在變速模式下之響應變化，及輸出鏈輪之可能殘振變化。

The validity of transfer matrix method (TMM) employed in a nonlinear gear cam system is studied in this thesis. The nonlinear dynamic responses of each part in the nonlinear system are estimated by applying the 4th-order Runge-Kutta method. A high speed gear cam drive automatic die cutter was analyzed in this study. A 25 horsepower AC induction motor is designed to drive the system. To complete the cutting work, a sequential process of the harmonic motion and the intermittent motion are generated by the elbow mechanism and the gear cam mechanism, respectively. A simplified branched multi-rotor system is modeled to approximate the motion of the system. The variation of the dynamic parameters of the system in a loading cycle is estimated under a branched torsional system. The Holzer’s transfer matrix method is used to study the variation of the system parameters during the intermittent movement. Moreover, the effect of time-varied speed introduced from the torque variation of the induction motor and gear cam mechanism on the nonlinear dynamic response of the system has also been investigated. To explore the dynamic effect of different cam designs, three different cam motion curves and seven operating rates have been analyzed in this work. The residual vibration of the last sprocket has also been discussed. Numerical results indicate that the proposed model is available to simulate the dynamic responses of a nonlinear gear cam drive system.

目錄 I
圖目錄 III
表目錄 VI
摘要 VIII
ABSTRACT IX
第一章 緒論 1
1-1研究背景與動機 1
1-2文獻回顧 2
1-3分析流程與使用方法 7
第二章 凸輪系統介紹及模型假設 10
2-1軋盒機系統 10
2-2齒凸輪間歇機構 11
2-3等效飛輪 15
2-4系統模型假設 19
第三章 主要理論導引及使用方法 36
3-1轉移矩陣法 36
3-1-1理論導引 36
3-1-2分支系統導引 39
3-2系統運動方程建立 42
3-2-1馬達運動方程 42
3-2-2系統運動方程 44
第四章 系統響應之模擬結果與討論 60
4-1擬線性動態特性 60
4-1-1擬線性共振頻率變化 60
4-1-2擬線性共振模態變化 61
4-2非線性動態響應 62
4-2-1主要轉盤響應 62
4-2-2馬達轉速極值變化 64
4-2-3殘振分析 65
第五章 結論 95
參考文獻 97
附錄 102
A - 1 電流頻率fc與工作速度W 102

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