|
大綱
|
摘要
本研究發展了一種以二次曲線（也稱為圓錐曲線）作為爪形輪廓的新型爪式轉子。每個爪的輪廓包含一段外旋擺線、兩段圓弧、一段二次曲線及其對應的共軛曲線。此輪廓設計由五個獨立參數決定：爪數、節圓半徑、轉子半徑、密封角和二次曲線的離心率。此外，在給定這五個獨立參數的情況下，爪式轉子的輪廓可以透過本研究所開發的自動繪圖程式在CAD軟體AutoCAD中進行設計與繪製，並且其性能，例如面積效率和最大密封角，可以通過本研究所編寫的C++
程式進行分析。由於二次曲線的離心率在參數設定上具有高度彈性，新型爪式轉子可以表現出顯著的輪廓變化及寬裕的性能可調性，過去的一些爪式轉子輪廓可以被視為此新型爪式轉子輪廓的特例。本研究還將新型爪式轉子與過去具有不同輪廓設計的爪式轉子間進行比較，結果顯示，具有二次曲線的爪式轉子在廣泛的參數條件下擁有最高的面積效率。在常用的參數條件下，它還提供了更大的面積效率之可調範圍，使其相較於以往的設計更具優勢。
關鍵宇：爪式轉子； 二次曲線 ； 共軛曲線
； 密封角
； 面積效率 ； 自動化繪圖程式
Abstract
This thesis studies the development of new claw rotor profiles by
including quadratic curves, also known as conic section curves, as one
segment curve of a claw. Each claw profile includes five curve
segments, an epitrochoid, two circular arcs, a quadratic curve, and a
conjugate corresponding to the quadratic curve. The claw profile with
these curve segments is determined by five independent parameters: the
number of claws, pitch radius, rotor radius, conformity angle, and
eccentricity of the quadratic curve. With given five independent
parameters, claw rotor profiles can be designed and drawn in the CAD
software AutoCAD through developed automatic drawing program, and
performances, such as area efficiency and maximum conformity angle,
can be analyzed through developed C++ programs. Due to the high
flexibility in the parameter settings of eccentricity, significant
changes in claw rotor profiles can be designed, resulting in wide
adjustability of performance. Part of the previous claw rotor profiles
can be considered as special cases of the new claw rotor profiles.
This thesis also compares the new claw rotor with previous claw rotors
featuring different profiles designs. The results show that the claw
rotor with quadratic curves achieves the highest area efficiency under
a broad range of parameter conditions. Additionally, it offers a wider
range of area efficiency adjustability under commonly used conditions,
making it superior to previous designs.
Key words:
Claw rotor ；quadratic curve ； conjugate curve ； conformity angle ；
area efficiency ； automatic drawing program
|
