臺灣博碩士論文加值系統

本文探討多自由系統於簡諧激振狀態下之模態分析，發展由操作變形振型估測模態振型之方法。首先設計製作一多自由度系統，採用衝擊鎚測試及激振器測試獲得系統模態特性，並進行理論模型驗證，以作為實驗驗證分析比較之依據。本文也運用時域法、頻域法及移轉特性法量測系統之操作變形振型，以估測模態振型。由可行性分析，可知所發展預測模式可精確求得模態振型，又由實驗驗證分析，於共振激振及非共振激振下量得之操作變形振型，均能合理地預測系統模態振型，且發現在非共振激振狀態時，因各模態分佈均勻性佳，模態振型預測較準確。本研究將有助於如轉子系統於作業狀態下之模態分析，突破傳統實驗模態分析之限制，且後續研究應用可擴展至如多個簡諧激振及外力預測問題。

This work presents the modal analysis for multiple degree-of-freedom system in operating conditions and develops the method to obtain mode shapes from the measured operational deflection shape (ODS). First work is to design and make a MDOF system. Use the impact testing method and shaker excitation method to obtain modal parameters for MDOF system. This work chose time domain method, frequency domain method and transmissibility method to measure ODS. The prediction formula theory feasibility analysis presented is precisely. Several experimental examples include resonant and anti-resonant excitation are presented to demonstrate the feasibility of the predictive algorithm and shown successful in determining all of the mode shape vectors. The anti-resonant excitation predicts mode shape accuracy than resonant excitation states, because the measured ODS its modal characteristic uniformly when anti-resonant excitation state. The predictive model can also be extended to rotary system in operating conditions and break through the traditional experimental modal analysis’s limit. The study can to expand to multiple harmonic excitations and force prediction problem.

目 錄
中文摘要 ……………………………………………………Ⅰ
英文摘要 ……………………………………………………Ⅲ
誌謝 …………………………………………………………Ⅳ
目錄 …………………………………………………………Ⅴ
表目錄 ………………………………………………………Ⅸ
圖目錄 ……………………………………………………ⅩⅣ
第一章 緒論 ………………………………………………1
1.1 研究動機 ……………………………………………1
1.2 文獻回顧 ……………………………………………4
1.3 研究目的 ……………………………………………12
1.4 論文概述 ……………………………………………14
第二章 多自由度系統之設計製作與模型驗證………………17
2.1 理論分析 ……………………………………………18
2.1.1 單自由度系統模態分析 …………………………19
2.1.2 單自由度系統簡諧響應分析 ……………………22
2.1.3 多自由度系統模態分析…………………………25
2.1.4多自由度系統簡諧響應分析……………………29
2.2 多自由度系統之設計與製作 …………………………32
2.3實驗模態分析 …………………………………………35
2.3.1 自由振盪測試 ………………………………35
2.3.2 衝擊鎚測試 …………………………………39
2.3.3 激振器測試 …………………………………42
2.4 結果與討論 …………………………………………45
2.4.1 單自由度系統模型驗證結果 ……………………45
2.4.2多自由度系統模型驗證結果 ……………………54
2.5 結論…………………………………………………70
第三章 多自由度系統之操作變形振型量測 ………………72
3.1 操作變形振型理論分析 ………………………………73
3.2 操作變形振型量測原理 ………………………………74
3.2.1時域法 ……………………………………………74
3.2.2頻域法 ……………………………………………77
3.2.3移轉特性法 ………………………………………80
3.3操作變形振型量測 ……………………………………82
3.4 結果與討論 …………………………………………84
4.3.1 共振激振狀態下 ……………………………84
4.3.2 非共振激振狀態下 ………………………105
3.5結論 …………………………………………………126
第四章由操作變形振型估測模態振型 ……………………128
4.1操作變型振型估測模態振型之原理 …………………129
4.2 模態振型估測模式可行性分析 ……………………132
4.3模態振型估測模式實驗驗證分析 …………………146
4.3.1 共振激振狀態下 …………………………146
4.3.2 非共振激振狀態下 ………………………171
4.4 結論 ……………………………………………..192
第五章結論與建議 ………………………………………196
5.1 結論 ……………………………………………..196
5.2 建議 …………………………………………….200
參考文獻 …………………………………………………201
附錄A ………………………………………………………214
附錄B ………………………………………………………217
附錄C ………………………………………………………222
作者簡介 …………………………………………………225

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