本文主要是使用模態分析法，且考慮剪切變形效應與轉動慣量效應之圓柱薄殼振動分析。主要是利用不同的幾何參數，例如：長度、厚度、半徑等等之因素探討對模態頻率變化的趨勢為何。
本文首先為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來計算分析出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，最後再探討幾何參數對結構物的模態頻率之影響。
此外又對雙跨距圓柱薄殼作自由振動分析，即討論具有外加強環之雙跨距圓柱薄殼結構，及具內加強環之雙跨距圓柱薄殼結構，來分析雙跨距圓柱薄殼下的加強環之寬度效應、加強環之厚度效應、及雙跨距圓柱薄殼結構之長度效應。且比較單一跨距圓柱薄殼結構、外加強環之雙跨距圓柱薄殼結構、內加強環之雙跨距圓柱薄殼結構三者之間的關係

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