單擺式電磁調諧質量阻尼器外加飛輪於結構振動控制之應用

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姓名

謝欣慈(Hsin-Tzu Hsieh) 查詢紙本館藏

畢業系所

土木工程學系

論文名稱

單擺式電磁調諧質量阻尼器外加飛輪於結構振動控制之應用

相關論文

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摘要(中)

本研究旨在探討新型單擺式電磁調諧質量阻尼器結合飛輪(EM-FW-TMD)之系統，在雙向不對稱結構系統中之動力行為及其減振效益。當結構的雙向頻率不同時，該系統首先控制頻率較高之方向，並通過設計單擺擺長及與頂層相連接的鋼纜產生回復力。此外，為克服控制頻率較低方向之擺長不足問題，引入安裝於旋轉馬達後軸的飛輪裝置以延長週期並降低離頻。本研究推導馬達傳動系統施加於TMD和主結構之作用力與反作用力，組成包括與相對速度相關的阻尼力和與相對加速度相關的慣性力。透過調整飛輪質量及外接電阻，構建具有可變質量和阻尼特性的新型減振系統，兼具減振與儲能功能。根據慣質與電磁式阻尼理論，比較滑動式和單擺式EM-FW-TMD系統的動力特性與減振效能，發展單一擺長單擺式TMD系統之動力分析，體現單擺長系統於計算過程及實務應用方面更加簡單易行。將單擺長單擺式EM-FW-TMD透過最佳化計算，於長週期向加裝飛輪，在裝設於雙向頻率不同之高樓結構，驗證其在風荷載與地震力作用下之減振效益。

摘要(英)

This study aims to investigate the dynamic behavior and vibration reduction efficiency of a novel pendulum-type electromagnetic tuned mass damper combined with flywheels (EM-FW-TMD) system in bi-directional structural systems. When the frequencies of the structure differ in two directions, the system first controls the direction with the higher frequency by designing the pendulum length and generating restoring force through cables connected to the top floor. To address the issue of insufficient pendulum length for the lower frequency direction, a flywheel device installed on the rear axle of the rotating motor is introduced to extend the period and reduce detuning.
This study derives the forces and reactions exerted by the motor drive system on the TMD and the main structure, which consist of damping forces related to relative velocity and inertial forces related to relative acceleration. By adjusting the flywheel size and external resistance, a novel vibration reduction system with variable mass and damping characteristics is constructed, featuring both vibration reduction and energy harvesting functions.
Based on the theories of inerter and electromagnetic damping, the dynamic characteristics and vibration reduction performance of sliding-type and pendulum-type EM-FW-TMD systems are compared. It develops a dynamic analysis of pendulum-type TMD systems with single pendulum length, highlighting the simplicity and feasibility of the single pendulum length system in computational processes and practical applications. The pendulum-type EM-FW-TMD system with single pendulum length, through optimization calculations, is equipped with a flywheel for long-period tuning. Its effectiveness in reducing vibrations under wind loads and seismic forces is verified when installed in high-rise structures with different bidirectional frequencies.

關鍵字(中)

★ 單擺式EM-FW-TMD
★ 慣質
★ 電磁式阻尼
★ 雙向結構
★ 減振與儲能

關鍵字(英)

★ Pendulum-type EM-FW-TMD
★ Inerter
★ Electromagnetic damper
★ Bidirectional structure
★ Vibration reduction and energy harvesting

論文目次

摘要 i
ABSTRACT ii
符號表 iii
誌謝 viii
目錄 ix
圖目錄 xii
表目錄 xvii
第一章緒論 1
1.1 研究動機與目的 1
1.2 文獻回顧 1
1.3 本文內容 4
第二章具飛輪電磁式調諧質量阻尼器之理論推導 6
2.1 慣質與電路系統介紹 6
2.2 馬達之電磁扭矩 8
2.3 減振系統之電磁阻尼係數與慣質之推導 10
第三章滑動式與單擺式EM-FW-TMD系統之比較 14
3.1 模型配置 14
3.2 加裝EM-FW-TMD系統之動態平衡方程式 15
3.2.1 滑動式EM-FW-TMD加裝於單自由度結構動態平衡方程式 15
3.2.2 單擺式EM-FW-TMD加裝於單自由度結構動態平衡方程式 16
3.2.3 滑動式EM-FW-TMD加裝於多自由度結構動態平衡方程式 17
3.2.4 單擺式EM-FW-TMD加裝於多自由度結構動態平衡方程式 19
3.3 轉換函數與減振效益 20
3.4 最佳化設計方法 21
3.5 對主結構的振動控制效能比較(單向單自由度結構) 21
3.6 對主結構的振動控制效能比較(雙向單層樓結構) 26
第四章單擺式EM-FW-TMD系統之動力行為 30
4.1 狀態空間法 30
4.2 單擺長TMD動力分析 31
4.2.1 自由振動 31
4.2.2 曲面圖 36
4.2.3 線性回復力 39
4.2.4 阻尼力的遲滯迴圈 41
第五章單自由度結構加裝單擺式EM-FW-TMD系統之減振效能分析與驗證 43
5.1 單擺式調諧質量阻尼器(Case 1) 43
5.2 單擺式電磁調諧質量阻尼器(Case 2) 65
5.3 單擺式電磁調諧質量阻尼器外加飛輪I (Case 3) 80
5.4 單擺式電磁調諧質量阻尼器外加飛輪II (Case 4) 93
5.5 案例於頻率域下之轉換函數與減振效益比較 102
5.6 結論與分析 106
5.6.1 案例比較 106
5.6.2 Beating現象 109
第六章多自由度結構加裝單擺式EM-FW-TMD系統之減振效能分析與驗證 113
6.1 多自由度模型設計 113
6.2 單擺式電磁調諧質量阻尼器(Case 2) 117
6.3 單擺式電磁調諧質量阻尼外加飛輪I (Case 3) 126
6.4 結論與分析 130
6.4.1 案例分析 130
6.4.2 EM-FW-TMD之衝程分析及其微幅擺動條件 131
第七章結論 133
參考文獻 135
附錄一 141

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指導教授

林志軒(Chih-Shiuan Lin)

審核日期

2024-7-26

推文