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研究生:蕭德慶
研究生(外文):Te-Ching Hsiao
論文名稱:雙跨距圓柱薄殼之振動分析
論文名稱(外文):Vibration Analysis of Two-Span Thin Cylindrical Shells
指導教授:趙隆山王榮泰
指導教授(外文):Long-Sun ChaoRong-Tyai Wang
學位類別:碩士
校院名稱:國立成功大學
系所名稱:工程科學系碩博士班
學門:工程學門
學類:綜合工程學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:中文
論文頁數:87
中文關鍵詞:圓柱薄殼
外文關鍵詞:Thin Cylindrical Shells
相關次數:
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  由於薄殼結構承受動態負載日漸增加,因此在探討圓柱形殼之振動問題已逐漸普遍。本文首先由建立單一跨距圓柱薄殼結構之應力場、應變場與位移場之關係,從而推導圓柱薄殼結構的運動方程式,而後再利用轉換矩陣法計算分析圓柱薄殼結構自由振動之模態頻率與相對應之模態形狀函數,並證明模態形狀函數之正交性質以確定模態法分析結構動態行為之可行性,最後再探討幾何參數對結構模態頻率之影響。
  由於薄殼結構幾何性質的特殊,因此運動的數學模式應考慮各方向之剪切變形效應、轉動慣量效應與軸向慣量效應,如此方能推導得完整之薄殼運動方程式。
  另一個主題為分析具有外加強環之雙跨距圓柱薄殼結構,探討跨距數及加強環之厚度效應、寬度效應對結構自由振動之影響與結構承受等速移動負載之動態響應行為。同樣的先建立整個殼-環結構之應力場、應變場與位移場之關係,從而推導整個結構的運動方程式,而後再利用轉換矩陣法計算分析具有外加強環圓柱薄殼結構自由振動之模態頻率與相對應之模態形狀函數,並證明模態形狀函數之正交性質。接著利用模態法推導結構承受等速移動集中負載的模態振幅控制方程式,以求得整個結構的動態響應。
摘要 ……………………………………………………………………… I
誌謝 ……………………………………………………………………… II
目錄 ……………………………………………………………………… Ⅲ
表目錄 …………………………………………………………………… Ⅴ
圖目錄 …………………………………………………………………… Ⅵ
符號說明 ………………………………………………………………… Ⅷ

第一章 緒論 …………………………………………………………… 1
§1-1 前言 ……………………………………………………………… 1
§1-2 文獻回顧 ………………………………………………………… 2
§1-3 研究範圍 ………………………………………………………… 4
第二章 圓柱薄殼之自由振動分析……………………………………… 6
§2-1 變形與運動方程式 ……………………………………………… 6
§2-2 圓柱薄殼之自由振動 …………………………………………… 9
§2-3 模態頻率與模態形狀函數之計算 ……………………………… 16
§2-4 模態形狀函數之正交性 ………………………………………… 16
§2-5 實例說明與討論 ………………………………………………… 21
第三章 雙跨距圓柱薄殼之自由振動分析……………………………… 32
§3-1 變形與運動方程式 ……………………………………………… 32
§3-2 圓柱薄殼之自由振動 …………………………………………… 39
§3-3 模態頻率與模態形狀函數之計算 ……………………………… 49
§3-4 模態形狀函數之正交性 ………………………………………… 51
§3-5 實例說明與討論 ………………………………………………… 53
第四章 雙跨距圓柱薄殼承受移動負載之動態分析 ………………… 66
§4-1 強迫振動 ………………………………………………………… 66
§4-2 徑向等速移動集中負載 ………………………………………… 68
§4-3 例題與討論 ……………………………………………………… 70
第五章 結論與建議 …………………………………………………… 74
§5-1 結論 ……………………………………………………………… 74
§5-2 建議 ……………………………………………………………… 75
參考文獻 ………………………………………………………………… 76
附錄A …………………………………………………………………… 80
附錄B …………………………………………………………………… 82
附錄C …………………………………………………………………… 85
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