臺灣博碩士論文加值系統

由於製造技術的進步，擴展了工程師的設計更高階之自由度。使其可通過複雜的幾何形狀之設計實現更高效能的結構設計。然而，給予設定高階之自由度時，此最佳化幾何結構可能非常具有設計或製造之挑戰性，可能於計算時無法收斂或製造時無法加工等環境因素。
此高階之幾何設計唯有使用拓撲優化方法可達成目標函數，其中計算或模擬時必須先給予確定之高自由度設計空間及最佳材料分佈條件。而本論文結構之設計，是以結構拓撲優化方法求多維空間設計結構之優化設計。首先於結構之多維空間設立一組邊界條件，並假設材料均勻分佈的整個優化過程中並保持固定。
本研究採用Abaqus有限元分析軟體進行模擬，模擬分析不銹鋼水箱支撐架於不同載荷作用下的支撐架櫻力情況。在這項研究中，利用水箱裝載500kg、1000kg、1500kg 和 2000kg 等負載，並置於支撐結構上，並通過拓撲方法找到在最大應力下需要支撐結構之最小體積之最佳形狀。這項研究的目標是在不降低材料剛度和強度的情況下將原始設計結構物之目標值為體積減少多達 30%，並達成目標函數。這是通過拓撲優化獲得的，也降低了結構的成本。

Advances in manufacturing capabilities, such as additive manufacturing, have expanded the design freedom given to engineers enabling more efficient designs through the use of complex geometries. However, determining the optimal geometric structure for a given set of performance criteria can be quite challenging when given such design freedom. One technique to do so is with the use of topology optimization methods, in which optimal material distribution within a given design space is determined. Many established topology optimization methods are developed such that a set of boundary conditions are prescribed to the design domain and remain fixed throughout the optimization process of determining the material distribution. This eliminates the ability to implement design-dependent loading conditions. This research uses Abaqus finite element analysis software for the simulation of stainless steel water tank support frames under different loads applied on the support frame. In this research, loads of 500kg, 1000kg, 1500kg, and 2000kg are applied to the water tank to find the maximum stresses and optimal shapes by using topology. The goal of this research is to reduce the volume up to 30% without reducing the rigidity and strength of the material. The optimal shapes showed that volume and weight are reduced and the stiffness is maximized.

摘要................................................................................................i
Abstract..........................................................................................iii
Acknowledgments.....................................................................................v
Table of content...................................................................................vi
List of Tables.....................................................................................ix
List of Figures.....................................................................................x
Chapter 1 Introduction..............................................................................1
1.1 Preface.........................................................................................1
1.2 Research motivation and purpose.................................................................1
1.3 Literature review...............................................................................2
1.4 Thesis structure................................................................................5
Chapter 2 Literature Review.........................................................................7
2.1 Introduction to the software....................................................................7
2.2 Abaqus Brief introduction.....................................................................7
2.2.1 Finite elemental method.......................................................................8
2.2.2 Unit conversion.............................................................................9
2.2.3 The function module..........................................................................10
2.3 Introduction of the functional modules of Abaqus...............................................11
2.3.1 Part module..................................................................................13
2.3.2 Assemble the module..........................................................................20
2.3.3 Step module..................................................................................23
2.3.4 Interactive module...........................................................................28
2.3.5 Load module..................................................................................32
2.3.6 Grid module..................................................................................34
2.3.7 The working module.........................................................................35
2.3.8 Post-Processing Module.......................................................................36
2.4 Tosca Optimization...........................................................................39
2.4.1 Optimization method..........................................................................40
2.4.2 Design response..............................................................................41
2.4.3 Target function..............................................................................42
2.4.4 Binding conditions...........................................................................42
2.4.5 Geometric limit..............................................................................43
Chapter 3 Research methodology ...................................................................46
3.1 Analysis parameter settings................................................................46
3.1.1 Build the model............................................................................46
3.1.2 Material parameter setting...................................................................48
3.1.3 Establish analysis steps.....................................................................51
3.1.4 Set contact conditions and constraints.......................................................52
3.1.5 Von mises stress.............................................................................56
3.1.6 Boundary conditions..........................................................................58
3.1.7 Set grid.....................................................................................59
3.1.8 Creation of job submission analysis..........................................................60
3.1.9 Post-processing of results...................................................................61
3.2 Tosca optimization setting.....................................................................62
3.2.1 Topology optimization task settings..........................................................62
3.2.2 Select design response.......................................................................62
3.2.3 Setting the objective function...............................................................63
3.2.4 Establishment of binding conditions..........................................................64
3.2.5 Submission of optimization work..............................................................65
3.2.6 Monitoring...................................................................................66
Chapter 4 Simulation Analysis and Results..........................................................68
4.1 Results........................................................................................68
4.1.1 500 kg load applied..........................................................................69
4.1.2 1000kg load applied..........................................................................72
4.1.3 1500kg load applied;.........................................................................75
4.1.4 2000kg load applied..........................................................................80
Chapter 5 Conclusion...............................................................................88
5.1 Conclusion.....................................................................................88
5.2 future research................................................................................89
References.........................................................................................90
Extended abstract..................................................................................94

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