臺灣博碩士論文加值系統

由晶格結構所構成的三明治結構(SPS)不僅能有效達到減省材料使用率外，更能維持結構所需的強度。本研究對於在不同相對密度條件下由不同類型的三重週期最小曲面(TPMS)晶格所構成的三明治結構進行機械強度的研究與探討。此研究中，三明治結構是由上、下薄板與20×5×1個晶格所組成，晶格類型為Schwarz’s Primitive (SP)、 Scherk’s surface 2 (S2)、 Schoen I-WP(I-WP)與Schoen F-RD (F-RD)等四種為主。透過有限元素分析(FEA)法，獲得在不同相對密度條件下由不同形狀的三重週期最小曲面晶格所構成的三明治結構在三點彎曲試驗下其結構之機械性能，並與計算結果作相互驗證。其結果證明，透過方程式與數值分析之間的結果差異均低於21%。在對比四種類型晶格對於三明治結構的影響當中，由SP晶格所構成的三明治結構與其餘三種相比，所受到變形的影響為最低，而由F-RD晶格所構成的三明治結構在材料達到降伏前所能承受力量為最佳。此外也透過方程式與數值分析等方法預測潛在於三明治結構中的機械失效模式。研究結果中同時發現，最主要影響結構機械性能的因素為晶格幾何形狀以及相對密度的大小。除此之外，TPMS晶格能有效分散應力，避免應立集中現象的發生。

Sandwich panel structure (SPS) with lattice core can considerably lower material consumption and simultaneously maintain adequate mechanical property. In this study, different types of TPMS lattices inside a SPS were analysed comprehensively. Each SPS comprised two face sheets and a core filled with 20×5×1 TPMS lattices. The types of TPMS lattices considered included the Schwarz primitive (SP), Scherk’s surface 2 (S2), Schoen I-graph-wrapped package (I-WP), and Schoen face-centred cubic rhombic dodecahedron (F-RD). Finite element analysis was applied to determine the mechanical performance of different TPMS lattices at different relative densities inside the SPS under a three-point bending test, and the results were compared with the values calculated from analytical equations. The results showed a difference of less than 21% between the analytical and numerical results for the deformation. SP had the smallest deformation among the TPMS lattices, and F-RD had the highest allowable load. Different failure modes were proposed to predict potential failure mechanisms. The results indicated that the mechanical performances of the TPMS lattices were mainly influenced by the lattice geometry and relative density. Additionally, TPMS lattices can disperse the stress to avoid stress concentration occurs.

摘要
Abstract
誌謝
目錄
圖目錄
表目錄
符號表
第一章 緒論
1.1 前言
1.2 積層製造
1.2.1 積層製造種類
1.2.2 三重週期最小曲面結構(TPMS)
1.3 文獻回顧
1.3.1 三重週期最小曲面(TPMS)的由來及其結構優勢
1.3.2 三明治結構(Sandwich Panel Structure, SPS)
1.3.3 晶格參數的影響
1.3.4 分析方法
1.4 研究動機與目的
第二章 研究理論
2.1 三重週期最小曲面生成原理
2.2 相對密度
2.3 三明治結構
2.3.1 總變形量(The total deformation)
2.3.2 三明治的重量
2.4 失效模式(Failure modes)
第三章 實驗方法與數值分析
3.1 實驗流程與規劃
3.2 晶格建模方法
3.3 三明治結構之設計
3.4 有限元素分析
3.4.1 薄殼模型建構
3.4.2 材料及邊界參數設定
第四章 結果與討論
4.1 重量差異
4.2 變形量結果
4.3 不同形狀之三重週期最小曲面晶格比較
4.3.1 總變形量
4.3.2 最大容許負荷力量
4.4 失效模式
4.5 實驗驗證
第五章 結論與未來展望
5.1 結論
5.2 未來展望
第六章 參考文獻

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