基于NURBS的螺旋轉(zhuǎn)子型線補償設(shè)計與優(yōu)化
本文關(guān)鍵詞:基于NURBS的螺旋轉(zhuǎn)子型線補償設(shè)計與優(yōu)化 出處:《中南大學(xué)》2012年碩士論文 論文類型:學(xué)位論文
更多相關(guān)文章: 轉(zhuǎn)子型線 NURBS 有限元分析 誤差計算 補償設(shè)計
【摘要】:螺桿壓縮機廣泛應(yīng)用于礦山、冶金、機械和制冷行業(yè)。螺旋轉(zhuǎn)子是螺桿壓縮機的核心部件,其型線對壓縮機的性能具有很大影響。螺旋轉(zhuǎn)子發(fā)生力、熱變形將會引起功耗及泄漏損失,導(dǎo)致螺桿壓縮機工作效率降低。本文采用NURBS方法對轉(zhuǎn)子型線進行補償設(shè)計與優(yōu)化,以減小工作過程中轉(zhuǎn)子型線與理想型線的誤差,提高螺桿壓縮機工作性能。 首先對螺旋轉(zhuǎn)子的坐標變換、典型型線方程及螺旋齒面方程進行理論分析,為螺旋轉(zhuǎn)子的三維參數(shù)化建模與型線補償設(shè)計提供理論依據(jù)。 根據(jù)NURBS曲線理論,推導(dǎo)螺旋轉(zhuǎn)子型線的NURBS表達式,并確定了節(jié)點矢量、控制頂點和權(quán)因子的計算方法。 在分析研究各種參數(shù)化設(shè)計原理及技術(shù)基礎(chǔ)上,設(shè)計一種基于NURBS和SolidWorks的螺旋轉(zhuǎn)子三維參數(shù)化建模方案,并以SolidWorks API為二次開發(fā)工具,實現(xiàn)了螺旋轉(zhuǎn)子的三維參數(shù)化設(shè)計。 對螺旋轉(zhuǎn)子的運行工況進行了深入分析,利用Solidworks Simulation對其分別進行受力變形和熱態(tài)變形的有限元分析,通過在螺旋轉(zhuǎn)子工作型面上建立虛擬傳感器,獲得轉(zhuǎn)子工作狀態(tài)下的變形分布規(guī)律。對螺旋轉(zhuǎn)子的受力變形和熱態(tài)變形進行分析比對,為轉(zhuǎn)子的補償設(shè)計提供可靠數(shù)據(jù)。 為了補償實際工況下的轉(zhuǎn)子型線與理想型線的誤差,推導(dǎo)變形型線和標準型線間的誤差計算理論公式,并以該誤差為依據(jù),構(gòu)造兩種誤差補償方案(反向補償和法向補償)。對轉(zhuǎn)子型線進行迭代補償,優(yōu)化轉(zhuǎn)子型線。以標準原始對稱陰、陽轉(zhuǎn)子為實例,證明了補償方案的有效性。
[Abstract]:Screw compressor is widely used in mining, metallurgical, mechanical and refrigeration industries. Screw rotor is the core component of screw compressor, and its profile has great influence on the performance of compressor. Thermal deformation will cause power loss and leakage loss, which will reduce the efficiency of screw compressor. In this paper, the NURBS method is used to compensate the rotor profile design and optimization. In order to reduce the error between rotor profile and ideal profile, and improve the performance of screw compressor. Firstly, the coordinate transformation, the typical profile equation and the helical tooth surface equation of the helical rotor are analyzed theoretically, which provides the theoretical basis for the 3D parametric modeling and the profile compensation design of the helical rotor. According to NURBS curve theory, the NURBS expression of helical rotor profile is deduced, and the calculation method of node vector, control vertex and weight factor is determined. Based on the analysis and study of various parameterized design principles and techniques, a 3D parametric modeling scheme of spiral rotor based on NURBS and SolidWorks is designed. Using SolidWorks API as the secondary development tool, the 3D parametric design of spiral rotor is realized. The operating conditions of spiral rotor are analyzed in depth, and the finite element analysis of stress deformation and hot deformation is carried out by Solidworks Simulation. By establishing a virtual sensor on the working surface of the spiral rotor, the deformation distribution law of the rotor is obtained, and the stress deformation and the thermal deformation of the spiral rotor are analyzed and compared. Provide reliable data for rotor compensation design. In order to compensate the error between the rotor profile and the ideal profile under the actual working condition, the theoretical formula of error calculation between the deformation profile and the standard profile is derived, and the error is taken as the basis. Two kinds of error compensation schemes (reverse compensation and normal compensation) are constructed. The rotor profile is compensated iteratively to optimize the rotor profile. The effectiveness of the compensation scheme is proved by taking the standard primitive symmetric shaded and positive rotors as examples.
【學(xué)位授予單位】:中南大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2012
【分類號】:TH45
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