空調壓縮機干涉配合應力與優化分析

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姓名

張棋(Chi Jhang) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

空調壓縮機干涉配合應力與優化分析
(Stress Analysis and Optimization for Interference Fitting in Air-Conditioning Compressor)

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摘要(中)

在迴轉式壓縮機組裝過程中，需利用熱套配合的方式將定子固定於外殼鋼管內，而裝配過程所產生的壓應力不僅會導致定子內側產生徑向位移，減小定子與轉子之間的間隙，進而可能產生定子撞擊轉子的現象，還會增大定子之鐵損，因而降低壓縮機的效率。本研究之目的在於建立一套定子與外殼干涉之ANSYS有限元素分析模型，並考慮透過流通孔的設計來降低壓應力值。此研究包含兩種機型。首先，使用第一種機型，進行全實體與板殼元素模型之模擬結果比較，探討兩種模型之間的關聯性，且進行兩種模型之收斂性分析，並確認是否會產生塑性變形及撞擊的可能，隨後將全實體元素模型獲得之定子徑向應變與干涉實驗結果進行比對，用以驗證模型之有效性。最後，分別利用方形及圓形流通孔，進行第二種機型之田口法優化分析，用以找出最適設計方案減小定子之最大等效應力。
由第一型模擬結果顯示，全實體與板殼元素模型之定子各層等效應力、內側徑向位移以及定子與外殼鋼管間之徑向內力三項數值，在定子上下20層的數值變化劇烈，而中間層的結果較為穩定。比較兩種元素模型之分析結果顯示，兩者數值雖有差異，但趨勢相同。模擬與實驗量測結果比較顯示，兩者之定子徑向殘留應變值極為相近，驗證本研究有限元素模型之有效性。由第二型之田口法優化分析結果顯示，方形流通孔比原形流通孔，更能有效減小定子之最大等效應力，尤其使用長6.0 mm、寬1.8 mm、距離中心點65 mm、與x 軸夾角37 之優化設計參數能降低約 40 % 之定子最大等效應力，而圓形流通孔最佳設計組合之最大等效應力與原模型並無太大差異。

摘要(英)

The objective of this study is to establish effective finite element method (FEM) models for application in analysis of interference fitting of motor stator and outer shell of a rotary compressor. Two types of models are employed in this study. Firstly, Types I compressor is used to evaluate the effectiveness of the FEM model using solid and plate elements. It also needs to assess whether rub impact and plastic deformation occur or not. The simulation of Type I using solid elements is also compared with the experimental measurements to validate the FEM model. Optimization analysis of Taguchi method is conducted for Type II compressor to find the optimal vent design in reducing the maximum von-Mises stress of the stator.
Simulation results of Type I indicate that values of von-Mises equivalent stress, radial displacement of inner surface, and internal radial force of both solid and plate-element models change steeply in the top and bottom 20 layers and then become smaller and stable in the middle layers. Although the simulation results show certain difference in values between the two element types employed, the trends are almost the same. The simulation exhibits good agreement with experimental measurements of stator deformation during shrink fitting such that the effectiveness of the FEM model developed is validated. The optimization analysis of Taguchi method indicates that rectangular vents are more effective in reducing the maximum equivalent stress of the stator than circular vents. The optimal design with a combination of 6.0-mm length, 1.8-mm width, 37 of radial angle from x axis, and 65-mm distance from the center of stator for rectangular vents can reduce the maximum von-Mises stress of the stator by 40 %. The optimized design of circular vents has limited effect in reducing the maximum von-Mises stress.

關鍵字(中)

★ 迴轉式壓縮機
★ 干涉配合
★ 應力分析
★ 優化分析

關鍵字(英)

論文目次

LIST OF TABLES VI
LIST OF FIGURES VII
1. INTRODUCTION 1
1.1 Rotary Compressor for Household Air Conditioning 1
1.2 Interference Fit 3
1.3 Relationship Between Magnetic Permeability and Compressive Stress 7
1.4 Taguchi Method 21
1.5 Purpose 24
2. FINITE ELEMENT METHOD MODELING 26
2.1 Finite Element Model 26
2.2 Material Properties 28
2.3 Interference and Boundary Conditions 30
2.4 Taguchi Method Analysis 33
3. EXPERIMENT 38
3.1 Experimental Setup 38
3.2 Experimental Procedures 41
4. RESULTS AND DISCUSSION 44
4.1 Simulation Results of Type I Compressor 44
4.1.1 Simulation results using solid elements 44
4.1.2 Simulation results using plate elements 49
4.1.3 Comparison of using solid elements and plate elements 53
4.2 Experimental Results of Type I Compressor 55
4.3 Simulation Results of Type II Compressor 56
4.4 Optimization Analysis of Type II Compressor Using Taguchi Method 61
4.4.1 Optimization analysis for rectangular vents 61
4.4.2 Optimization analysis for circular vents 66
5. CONCLUSIONS 70
REFERENCES 72

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指導教授

林志光

審核日期

2020-8-11

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