在追蹤系統的主要機制中天線基座、光學基座、雷射基座和紅外線基座，相當於人類的眼睛，其主要的特性是要能夠快速、正確擷取海上船艦、空中飛行器的航向、航速和座標位置。如飛行器緊急攻角轉彎時，天線的本身慣性會影響機構抖動，把飛行目標物的座標資料做錯誤的解算。在追蹤系統的傳動機構，由於空間受到限制，如何縮小基座體積和保有強健機構，是個重要課題。然而蝸輪組具有體積小、減速比高的特色，可做傳動機構重要選項。
本文主要研究蝸輪組減速機構應用在控制系統中精密定位時各個參數對於精度之的影響性，這些參數包含了蝸輪組受到外載力量後各齒所產生微量的彈性變形所造成的彈簧效應及齒間磨擦所造成的效應等。為了考慮這些效應，本研究分成六個主要部份，第一章是概述和文獻回顧。回顧前人在齒受應力、摩擦力、齒輪組的運動行為及在定位上所做過的研究。第二章是蝸桿蝸輪組的平板理論分析，建立蝸桿蝸輪組以平板理論的變形分析，主要討論外載力量對蝸桿蝸輪精密定位的影響。第三章3D-model有限單元模擬分析及形狀係數，利用模擬所得之結果找出各種不同節距(Pitch)狀況下的齒之形狀係數(Form Factor)。第四章則是建立蝸輪蝸桿組的動態方程式，建立數學模型並利用數值運算法，來分析其微量之彈性變形，模擬結果可以得到蝸桿蝸輪瞬間定位角位移的震盪現象。為了解傳動時相關角位移、角速度與角加速度等所造成的定位誤差程度。第五章實驗，本節將以兩種方式來量測角度：一為利用「雷射測位儀」、二為利用「加速規量測加速度」再加以積分來得到角度來觀察蝸桿、輪組的傳動過程。第六章模擬結果與實驗之比較及參數變化影響，以推導出數學式子，分析資料和實驗數據相互比對，在整體研究過程中，模擬資料與實驗結果一定會有一些差距，將這某種誤差和參數變化的趨勢找出。第七章結論，綜整蝸輪組的動態方程式之模擬分析結果，預估蝸輪組動態行為時各別參數對定位精度及解析度的影響，做為控制系統參數補償依據或是修改蝸輪組設計以期達到系統需求。

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