黃元茂Huang, Yuan-Mao臺灣大學:機械工程學研究所洪澤元Hung, Tse-YuanTse-YuanHung2010-06-302018-06-282010-06-302018-06-282007U0001-2812200703430300http://ntur.lib.ntu.edu.tw//handle/246246/187018螺旋轉子形線設計的優劣，決定螺旋式轉子壓縮機的洩漏量與齒間面積。縮短作用線、減小回吹孔面積與增大齒間面積皆可改進轉子的形線，作用線長度、齒間面積及回吹孔面積三個特性都可用以評估螺旋轉子形線的優劣。本研究以SRM-C作用線為基礎，經由座標軸的轉換與採用共軛理論，推導出其轉子形線方程式與上述的基本特性，並採用Hermite三次曲線做為作用線擬合的曲線。以作用線上的控制點為設計變數，配合遺傳演算法的最佳化，以齒間面積做為目標函數，作用線長度與回吹孔面積為限制條件，經由電腦程式改變控制點的座標，而得作用線的形狀，再求出其相對應的轉子形線，進而獲得最佳化的新螺旋轉子的作用線長度、回吹孔面積與齒間面積。與SRM-C轉子比較，本研究所求得的新螺旋轉子的作用線短0.35%，回吹孔面積少1.71%，齒間面積增大2.10%。Rotor profiles of screw rotor compressors affect the leakage and the intertooth area of screw rotor compressors. Decreasing the length of the action line and the blow hole area and increasing the intertooth area improve the rotor profile. The length of action line, the intertooth area or the blow hole can be used to evaluate the rotor profile. his study proposes a mathematical model to study basic characteristics of the length of the action line, the blow hole area and the intertooth area for the rotor profiles of a twin-screw rotor compressor. Based on the given action line of the SRM-C profile, the Hermite function is used for the curve fit of the action line. Then, utilizing the genetic algorithm with selection of some specific points on the action line, the intertooth area is used as an object function and the length of the action line and the blow hole area are used as constraints. By changing the locations of these specific points, a new action line and, thereafter, new rotor profiles can be obtained. The optimum length of the action line, the blow hole area and the intertooth area of the basic characteristics can be obtained and compared with those of the SRM-C profile.he length of the action line of the proposed compressor is 0.35% shorter, the blow hole area is 1.71% smaller and the intertooth area is 2.10% greater than those of the SRM-C profile.口試委員會審定書........................................................................................i謝...............................................................................................................ii文摘要......................................................................................................iii文摘要 ....................................................................................................iv錄...............................................................................................................v目錄...........................................................................................................x目錄.........................................................................................................xv號表........................................................................................................xvi一章 序論...............................................................................................1.1 前言..............................................................................................1.2 研究動機與目的..........................................................................3.3 研究方法......................................................................................4.4 文獻回顧......................................................................................4.4.1 螺旋式轉子壓縮機文獻回顧................................................4.4.2 最佳化文獻回顧....................................................................8.5 論文架構....................................................................................11二章 螺旋式轉子壓縮機介紹.............................................................13.1 螺旋式轉子壓縮機的基本構造與工作原理............................13.1.1 吸氣過程..............................................................................15.1.2 壓縮過程..............................................................................17.1.3 排氣過程..............................................................................19.2 雙螺旋轉子形線的演進............................................................20.3 螺旋轉子形線要素....................................................................26.4 螺旋轉子形線設計原則............................................................30三章 螺旋轉子形線數學模式的建立.................................................33.1 形線參數方程式........................................................................33.2 嚙合方程式………....................................................................40.3 齒面參數方程式........................................................................45.4 法線向量方程式........................................................................50.5 齒面嚙合方程式........................................................................52.6 作用面方程式............................................................................56四章 螺旋轉子的基本特性與範例.....................................................58.1 螺旋轉子形線數學模式的流程................................................58.2 螺旋轉子基本特性分析............................................................59.2.1 作用線長度..........................................................................60.2.2 齒間面積..............................................................................61.2.3 回吹孔面積..........................................................................63.3 SRM-C轉子的作用線方程式....................................................66五章 基因遺傳演算法.........................................................................79.1 簡介............................................................................................79.2 基因遺傳演算法流程................................................................80.2.1 編碼與解碼..........................................................................80.2.2 決定初始族群......................................................................81.2.3 計算適應度值......................................................................84.2.4 選擇與複製..........................................................................86.2.5 基因交配..............................................................................90.2.6 突變......................................................................................92六章 螺旋轉子形線最佳化設計的結果.............................................94.1 SRM-C作用線結果的驗證........................................................94.1.1 SRM-C轉子的端面形線.......................................................94.1.2 SRM-C轉子形線基本特性的計算與驗證.........................96.2 遺傳演算法程式的實例驗證....................................................98.3 轉子最佳化參數對遺傳演算法的影響..................................102.4 新轉子最佳化設計的結果......................................................113.4.1 新螺旋轉子形線的作用線................................................113.4.2 新螺旋轉子形線基本特性的計算....................................119.5 SRM-C形線與新螺旋轉子形線的比較..................................120七章 結果討論...................................................................................121.1 探討螺旋式轉子壓縮機的設計..............................................121.2 探討轉子形線的假設..............................................................121.3 探討三次曲線的擬合..............................................................122.4 探討SRM-C作用線的驗證結果.............................................124.5 探討遺傳演算法的實例驗證結果..........................................125.6 探討新螺旋轉子最佳化參數的結果......................................126.7 探討新螺旋轉子最佳化的結果..............................................129八章 結論與建議...............................................................................131.1 結論..........................................................................................131.2 建議..........................................................................................132考文獻...................................................................................................133錄A.........................................................................................................A1錄B…………………………………………………………………….B12105308 bytesapplication/pdfen-US螺旋式轉子壓縮機轉子形線作用線齒間面積回吹孔面積遺傳演算法screw rotor compressorrotor profilesaction lineintertooth areablow hole areagenetic algorithmthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/187018/1/ntu-96-R92522619-1.pdf