臺灣博碩士論文加值系統

工程最佳化問題最主要的目的是要改進原有的設計，讓原有設計在製造的資源使用可以達到最好的效率，拓樸最佳化設計的研究可以彌補尺寸與外型最佳化的不足，讓整體的最佳化設計更全面。本文利用拓樸最佳化方法，運用在長行程高速系統外圍結構的截面設計，在實驗中用不同材料比例架構出設計區域，並可以在製造成本上節省材料的使用，整體結構也在可接受的變形下達到輕量化的效果。

The main purpose of engineering optimization is to improve the original design with the constraint of limited resource. Topology optimization method, taking one step further than the sizing and shape optimization, can result in a true optimum design of a structure.
This thesis applies topology optimization method in the cross-section design of a cage of a long-travel drive system. Different material usage percentages are used to investigate the optimum material distribution of the cross section design. Results show that the optimum design can be obtained while a proper percentage of material is assigned.

目錄

封面內頁
簽名頁
中文摘要 .......................iii
英文摘要 .......................iv
誌謝 .......................v
目錄 .......................vi
圖目錄 .......................ix
表目錄 .......................xi
符號說明 .......................xii

第一章緒論 ...............1
1.1前言 ...............1
1.2 研究動機與目的 ...............3
1.3文獻回顧 ...............4
1.4論文大綱 ...............6
第二章研究方法與理論推導 ...............8
2.1方法理論前導 ...............8
2.2最佳化演算法 ...............9
2.2.1基因演算法 ...............10
2.2.2連續線性規劃法 ...............11
2.2.3模擬生物成長法 ...............13
2.3 目標函數與制限條件 ...............14
2.3.1 線性規劃法 ...............14
2.3.2 ALM ...............16
2.4 結構順從度對設計變數靈敏度分析 ...............18
第三章結構分析軟體與實驗設計流程 ...............22
3.1 ANSYS有限元分析軟體 ...............22
3.1.1 有限元素法基本原理、架構與流程 ...............25
3.1.2有限元素架構敘述 ...............31
3.1.3 ANSYS之分析檔案 ...............33
3.1.4 ANSYS分析檔案指令 ...............34
3.2連續線性規劃法應用於拓樸最佳化設計問題 ...............35
3.3邊界限制(Boundary Conditions) ...............35
3.4最佳化流程 ...............36
3.5實驗設計流程 ...............38
3.6有限元素建模流程 ...............41
3.7ADS最佳化程式 ...............45
3.8控制程式編譯流程 ...............46
第四章實例分析與討論 ...............48
4.1實驗分析結果 ...............48
4.2原始設計模型 ...............48
4.3.1 初始材料使用比例為25％之模型分析 ...............50
4.3.2 初始材料使用比例為35％之模型分析 ...............55
4.3.3 初始材料使用比例為45％之模型分析 ...............57
4.3.4初始材料使用比例為45％之模型分析 ...............59
第五章結論 ...............62

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