臺灣博碩士論文加值系統

隨著電子科技的蓬勃發展，電氣連接器被廣泛應用在汽車、通訊、電腦等行業中。考慮到汽車在行駛或通訊產品在使用過程中，不可避免地會遇到振動和碰撞等一系列外界激勵，其內部連接器的接觸彈片也會出現振動情況，導致兩原先彼此相連的彈片分離影響資料傳輸。爲了了解連接器在振動下是否能正常運行，我們需要求得連接器在外界激勵下的振動情況。我們將兩互相接觸的連接器的彈片簡化成一個兩自由度彈簧－質量系統，於此兩自由度之質量塊間即靠著基於線性彈簧模型或赫茲接觸模型之彈簧連接。當彈簧壓縮量為零時，即代表兩質量塊即將分離。藉由微分方程的解析方法和數值方法，我們預測出此模型在理想狀態下的運動情況，並且提出其接觸和分離條件。此外，我們還探討了一系列代表性的力學模型參數設計，發現了不同參數設計的模型在其振動情況中表現的差異性。在連接器的設計過程中，本論文研究結果可以用於提高其可靠度以獲得更好的產品表現。

Electrical connectors are used for data transmission. The objective of this research was to understand whether two mated contacts of electrical connectors are separated under vibration. If the separation happens, then the signals cannot be transmitted through the connectors and then it will cause communication problem. A 2-degree-of-freedom mass-spring system was used to model two mated contacts of connectors. The two separable masses in the model are connected by a spring based on two contact models, linear spring model and Hertz contact model. If there is no compression of the spring, then the two contacts are about to separate. By means of both analytical and numerical methods to solve for the compression of the spring, we can understand whether the two mated contacts are in separation or not. Several examples are discussed to demonstrate how to use the methods mentioned in the paper to obtain the dynamic behavior for two mated contacts. The results show that the dynamic behavior is closely related to the geometrical parameters as well as the mechanical properties of connectors. This study can be used to improve connector design and ensure better performance and reliability of connectors.

摘要 I
ABSTRACT II
誌謝 III
CONTENTS IV
LIST OF FIGURES VI
LIST OF TABLES VIII
1. Introduction 1
1.1. Background 1
1.2. Model description 2
1.3. Literature review 2
1.4. Objective 4
2. Theoretical Model 5
2.1. Contact model 5
2.2. Linked spring model 6
2.3. No-linked spring model 10
2.4. Contact & separate conditions 11
2.5. The vibration equations of entire operation 13
3. Analytical Solution 14
3.1. Same stiffness-mass ratio 14
3.1.1. Linear spring model 15
3.1.2. Hertz contact model 17
3.1.3. The periodicity of the vibration 26
3.2. Different stiffness-mass ratio 27
3.2.1. Linear spring model 27
3.2.2. Hertz contact model 33
4. Numerical Methods and ANSYS Simulation 34
4.1. Numerical Methods 34
4.1.1. Runge-Kutta methods 34
4.1.2. Numerical simulation for case 1 35
4.1.3. Accuracy of Hermite interpolation methods 38
4.1.4. Numerical simulation for general case of case 2 40
4.2. ANSYS simulation 44
4.2.1. Same stiffness-mass ratio 45
4.2.2. Different stiffness-mass ratio 46
5. Connector Design 48
5.1. Application 48
5.1.1. Procedure of model transform 48
5.1.2. Equivalent parameters by using Finite Element Method 50
5.1.3. Example 53
5.2. Contact & Separate Analysis 56
5.2.1. Same stiffness-mass ratio 57
5.2.2. Different stiffness-mass ratio 60
5.3. Multi-parameter designs 61
5.3.1. First design 1 61
5.3.2. Second design 2 63
5.3.3. Third design 3 65
6. Conclusions and Future Work 66
6.1. Conclusions 66
6.2. Future Work 66
REFERENCES 68
APPENDIX 70

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