臺灣博碩士論文加值系統

摘要
諧波驅動器 ( Harmonic drive ) 為一種高減速比的傳動裝置，擁有質量輕、零件少、體積小、負載大等優點。在高精度的精密機械傳動系統，如機器手的驅動系統減速機構，已為不可或缺的傳動元件。文中將結合馬達與諧波驅動器兩個不同的子系統，利用拉格朗日方程式 ( Lagrange’s equation ) 建立整體機電系統的運轉模式。本文分就數值模擬與實驗驗證兩方面，探討考慮馬達動態特性之諧波驅動器系統的動態響應。並採用四齒差杯式諧波驅動器與二齒差環式兩不同諧波驅動器，探討兩者對系統動態響應的影響。數值模擬方面，係採用六階藍日卡達法 ( Runge-Kutta method ) 進行數值求解。配合自行設計之模組式測試台，分析比較數值模擬與實驗測試結果，以驗證數值模擬的可靠性與可用性。

Abstract
The harmonic drive mechanism has been used wildly in industrial robots. High reduction ratio, few components, and quiet torque transfer are the advantages of this device. In this thesis, the dynamic characteristic of an integrated DC motor and harmonic driver system is investigated. The dynamic equations of the harmonic drive systems are derived by applying Lagrange’s equation. Two different harmonic driver designs, i.e. a cup-type with two teeth difference and a circular type with four teeth difference are used in the analysis. The system responses are simulated by employing the sixth order Runge-Kutta method. Comparison between numerical simulation results and experimental results, it indicates that the proposed model is feasible and accurate for simulating the dynamic response of an electro-mechanical integrated harmonic drive system.

第一章 緒論1
1-1 前言1
1-2 文獻回顧5
1-3 章節與組織8
第二章 諧波驅動器系統數學模式推導9
2-1 諧波驅動器簡化模式9
2-2 諧波驅動器系統之運動方程式16
2-3 驅動馬達轉速與負載模式19
2-3-1 直流馬達轉速與負載變化模式19
2-3-2 伺服馬達轉速與負載關係模式23
2-4 諧波驅動器機電整合系統動態響應數值解析27
第三章 實驗驗證與理論模擬30
3-1 諧波驅動器系統測試台之配置30
3-2 系統組件參數抽取40
3-3 實驗與數值結果之分析與比較48
第四章 結論 68
附錄A 諧波驅動器動態誤差參數抽取 69
附錄B 二階微分方程降階處理 74
附錄C 加速度計串並聯用於組件動態參數量測78
參考文獻88

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