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  1. NTU Theses and Dissertations Repository
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請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/93259
完整後設資料紀錄
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dc.contributor.advisor吳東諭zh_TW
dc.contributor.advisorTung-Yu Wuen
dc.contributor.author林冠汶zh_TW
dc.contributor.authorNathan Wenzelen
dc.date.accessioned2024-07-23T16:33:01Z-
dc.date.available2024-07-24-
dc.date.copyright2024-07-23-
dc.date.issued2024-
dc.date.submitted2024-07-18-
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dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/93259-
dc.description.abstract地震超材料是一種源自光子晶體的週期性結構,透過其帶隙特性來衰減入射的地震波。帶隙是頻散曲線中的特殊特徵,在特定頻率範圍內不存在實數傳播模態。透過週期性排列單元晶格,入射波在這些單元晶格中會發生布拉格散射,導致波的破壞性干涉,從而形成帶隙。然而,地震超材料面臨的一個挑戰是,引入布拉格散射機制需要晶格常數與入射波長相近,導致其帶隙頻率對於減震應用而言通常過高。因此,學者偏向於引入局部共振機制,以設計單元結構的共振頻率來控制頻率帶隙。

大量研究已證實,共振地震超材料能有效產生低頻且寬帶的帶隙,並在此範圍內顯示出顯著的波傳衰減效果。利用彩虹效應或慣性放大等先進技術,可以進一步加寬這些帶隙。然而,在實驗部分,對於其實際應用的可行性和表現的研究仍然較少。因此,本研究旨在使用最近發展的雙質量共振筒型地震超材料來填補這一領域的空白。此超材料由泡綿包覆的木殼內插入混凝土內核,並以泡綿連接。所產生的帶隙對於地震應用足夠低,並且可以透過結構單元的材料性質進行調整。有限元素分析顯示,在該帶隙內具有良好的衰減效果,實驗研究也證實了這個結果。進一步的有限元素分析驗證了實驗中觀察到的機制和物理現象。
zh_TW
dc.description.abstractStemming from photonic crystals, seismic metamaterials are periodic structures that attenuate incoming seismic waves through their band gap properties. The band gap is a unique feature in the dispersion curve, where no real (propagating) modes exist within a certain frequency range. By arranging periodic arrays of unit cells, the band gap can be created through destructive interference induced by the Bragg scattering mechanism. However, a challenge in developing seismic metamaterials is that the frequency band gap is often too high for seismic applications. Inducing this Bragg mechanism requires unit cell with periodicity length comparable to the wavelength. Therefore, researchers favor inducing local resonance mechanisms, where the frequency band gap is controlled by the resonance frequency of the designed unit cell.

Numerous studies have demonstrated the effectiveness of resonant seismic metamaterials in creating low and wide frequency band gaps with strong attenuation capabilities. Advanced techniques such as utilizing the rainbow trapping effect or applying inertial amplification can further widen these band gaps. However, not much research is developed in the experimental part to check the feasibility and capability in practice. Hence, this study aims to provide those aspects through the recently-developed dual-mass tube-type resonant seismic metamaterials containing a concrete inner core inserted inside a foam-enveloped wooden shell, connected by foams. The generated band gap is sufficiently low for seismic applications and can be adjusted through the material properties of the unit cell. Finite element analysis shows good attenuation within the band gap, and the experimental study corroborates these results. Further finite element analysis is conducted to verify the mechanisms and physics observed in the experiments.
en
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dc.description.tableofcontentsAcknowledgements ii
Abstract iv
中文摘要 vi
Table of Contents viii
List of Tables xi
List of Figures xii
Chapter 1 Introduction 1
1.1. Significance of Research 1
1.2. Research Objective and Process 3
1.3. Thesis Structure 3
Chapter 2 Concept of Seismic Metamaterials 6
2.1. Introduction 6
2.2. Wave Propagation in Elastic Solids 7
2.2.1. Elastodynamic Formulation 7
2.2.2. Body Waves 9
2.2.3. Surface Waves 11
2.3. Wave Control Mechanisms and Band Gap Manipulations 17
2.3.1. Bragg Scattering 17
2.3.1.1. Crystal Structure 18
2.3.1.2. Reciprocal Lattice 21
2.3.1.3. Diffraction of Waves by Crystals 24
2.3.1.4. Brillouin Zones 29
2.3.1.5. Bloch’s Theorem 31
2.3.1.6. Phonons 32
2.3.2. Local Resonance 37
2.4. Research Development of Seismic Metamaterials 40
2.4.1. Origin of Seismic Metamaterials 40
2.4.2. Bragg Scattering Mechanism in Seismic Metamaterials 46
2.4.3. Local Resonance Mechanism in Seismic Metamaterials 56
2.4.4. Clamped Seismic Metamaterials 76
2.5. Inspiration from Literature Review 81
Chapter 3 Analytical Estimation 83
3.1. Dispersion Analysis 83
3.2. Frequency Response Function of Finite Lattice 88
3.3. Analytical Design Calculation 92
3.3.1. Dispersion Analysis 95
3.3.2. Frequency Response Function 96
Chapter 4 Pre-Test Numerical Simulation 103
4.1. Finite Element Analysis (FEA) 103
4.1.1. Introduction 103
4.1.2. Finite Element Analysis Software – COMSOL Multiphysics 103
4.2. Eigenfrequency Analysis 105
4.2.1. Parametric Study 107
4.2.1.1. Standard Model 107
4.2.1.2. Accuracy of Plane Strain Model 109
4.2.1.3. Material Properties 110
4.2.1.4. Geometric Properties 131
4.2.2. Final Full-scale Unit Cell Design 138
4.3. Time-Domain Analysis 141
4.3.1. Standard Model 142
4.3.2. Row Number Analysis 146
4.3.3. Effect of Mechanical Impedances of Different Materials 147
4.4. Comparison with Analytical Estimation 153
4.4.1. Dispersion Analysis 153
4.4.2. Frequency Response Function 155
4.5. Interpretation of Locally Resonant Band Gap 158
Chapter 5 Lab-scale Experiment Design and Analysis 163
5.1. Experiment Purpose 163
5.2. Experiment Protocol 163
5.2.1. Experiment Apparatus 163
5.2.2. Experiment Scaling 165
5.2.3. Unit Cell in Test 167
5.2.3.1. Unit Cell Components 167
5.2.3.2. Adjusted Lab-scale Unit Cell Design 170
5.2.3.3. Unit Cell Assembly 173
5.2.4. Experiment Schemes and Configurations 177
5.2.5. Soil Properties 188
5.3. Experiment Result 191
5.3.1. Pristine Sand Test 191
5.3.2. Sand-Resonator Test 196
5.3.3. Pristine Resonators Test 199
5.4. Numerical Verification of Experiment Result 201
5.4.1. Pristine Resonators Test 205
5.4.2. Tests Involving Sand 212
Chapter 6 Numerical Simulation on Real-World Application 216
6.1. Introduction 216
6.2. Finite Element Model 218
6.3. Results and Discussion 222
Chapter 7 Conclusions and Future Work 228
7.1. Conclusions 228
7.2. Future Work 231
References 233
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dc.language.isoen-
dc.subject縮尺實驗zh_TW
dc.subject局部共振zh_TW
dc.subject有限元素分析zh_TW
dc.subject地震超材料zh_TW
dc.subject帶隙zh_TW
dc.subjectseismic metamaterialen
dc.subjectband gapen
dc.subjectlocal resonanceen
dc.subjectfinite element analysisen
dc.subjectlab-scale testen
dc.title雙質量共振地震超材料之實驗與數值研究zh_TW
dc.titleExperimental and Numerical Investigations on Dual-Mass Resonant Seismic Metamaterialsen
dc.typeThesis-
dc.date.schoolyear112-2-
dc.description.degree碩士-
dc.contributor.oralexamcommittee張國鎮;汪向榮zh_TW
dc.contributor.oralexamcommitteeKuo-Chun Chang;Shiang-Jung Wangen
dc.subject.keyword地震超材料,帶隙,局部共振,有限元素分析,縮尺實驗,zh_TW
dc.subject.keywordseismic metamaterial,band gap,local resonance,finite element analysis,lab-scale test,en
dc.relation.page238-
dc.identifier.doi10.6342/NTU202401762-
dc.rights.note同意授權(限校園內公開)-
dc.date.accepted2024-07-19-
dc.contributor.author-college工學院-
dc.contributor.author-dept土木工程學系-
dc.date.embargo-lift2026-07-01-
顯示於系所單位:土木工程學系

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