# 臺灣博碩士論文加值系統

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 本文主要針對乾式幫浦中之魯式轉子線形進行接觸點軌跡、間隙值 、Carry-Over、進排氣口體積變化分析。根據齒輪原理建立兩轉子運轉之 實際嚙合機構模擬，利用平面共軛原理及常用線形數學模式(包括圓弧、 漸開線、擺線)，推導其共軛線形數學模式。並以齒形接觸分析理論為基 礎，來探討實際上留有間隙之兩轉子接觸點軌跡、瞬時的間隙大小及進排 氣口體積變化，最後以市面上之轉子為例，找出其線形參數，進而求得接 觸點軌跡、間隙值、Carry-Over體積、進排氣口體積變化，並以 Autocad 驗證本文之分析模式可行性。以提供熱流研究人士用來研究幫浦洩漏量、 溫度變化及容積效率等。
 A mathematical model is proposed to calculate the coordinates of the rotorprofile and simulate the meshing process of the dry vacuum pump. Four basic curves, circular-arc, conjugate curve to the circular-arc, extendedinvolute curve, and extended cycloid curve, commonly used by the industry are included in the proposed mathematical model . According to theory of gearing , we can establish the meshing mechanism simulation of two rotors and find the mathematical model of conjugate curves of basic curves by using theory of conjugate. Since rotors of the vacuum pump are synchronized by the timing gears attached to the end of the rotating shafts , the meshing rotors do not contact each other at any moment . Therefore , the conventional tooth contact analysis technique is not suitable for simulating the meshing process.A numerical algorithm is developed to calculates the profile coordinates, the contact points , the gap distance variation , the volume variation of the carry-over, and volume enclosed between the rotors and the chamber of the housing. A modified tooth contact analysis which permit small gaps between the meshing rotors is proposed to calculate the quasi-contact line. A reverse engineering process for the rotor profile is also proposed to study the existing design. Finally the drawing software Autocad could be applied to verify the accuracy of the proposed mathematical model and the numerical algorithm values will help us to analyse the characteristic of the dry vacuum pump. The results of the thesis can be applied to develop new dry vacuum pump.
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 1 Schmitz正排量迴轉泵轉子外廓之研究 2 爪式轉子引擎之機構分析

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