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Free Vibration Study of Beam Subjected to Axial Forcend Beam on Elastic Foundation by Using SCM
No full text本文以Spline function 為出發點，並配合節點佈置(Collocation)的方式，發展出SCM(Spline Collocation Method);由Spline function 製作成一份完整的Quintic B Spline Value Table，使吾人得以查表的簡單方式，求得相關數值。 應用SCM來求解彈性基礎梁與梁受軸向力變化下之自由振動的問題，並導入各種不同軸向力與邊界條件，以測試其應用範圍; 本研究之數據將與成功大學陳長鈕教授以DQEM（Differential Quadrature Element Method）的分析結果相互對照，並進而探討梁在Pasternak與Winkler基礎，兩種不同的基礎其頻率之差異性，及梁在受軸壓力與軸拉力下，隨著力量之改變其頻率變化情形如何。後，本研究將進行在不同模型下，是否能夠符合本研究之結論，而終能確認SCM為一種具有高準確性、便捷性與可應用性的數值方法，實為本文的宗旨。誌謝 i要 ii一章 導論 1-1 研究背景 1-2 研究目的 4-3 文獻回顧與研究方法 4二章 相關理論基礎介紹 7-1 Spline Collocation Method(SCM)理論介紹與推導 7-2 SCM的表格化 16-3 SCM求解過程介紹 20三章 梁之SCM近似分析 22-1 控制方程式推導 22-1-1 Winkler控制方程式推導 22-1-2 Pasternak控制方程式推導 26-2 SCM於梁結構振動分析之模擬 30-2-1 梁於Winkler 基礎上之振動分析模擬 30-2-2 梁於Pasternak 基礎上之振動分析模擬 34-3 漸變斷面彈性梁模型假設 35-4 SCM分析漸變斷面梁受橫向力作用之自然頻率 37四章 實例分析 41-1 前言 41-2 梁於Pasternak彈性基礎上之振動分析實例 41例A-1：Pin-Pin End之Pasternak基礎上梁 42例A-2：Fixed-Fixed End之Pasternak基礎上梁 48-3 梁於Winkler彈性基礎上之振動分析實例 54例B-1：Pin-Pin End之Winkler基礎上梁 54例B-2：Fixed-Fixed End之Winkler基礎上梁 60-4 分析軸向力對梁振動影響之分析實例 71-4-1 前言 71-4-2 控制方程式 71例C-1：Pin-Pin End之梁 72例C-2：Fixed-Free End之漸變斷面梁 97例C-3：Fixed-Pin End之漸變斷面梁 123五章 結論與未來展望 149-1 結論 149-2 未來展望 152考文獻 154錄A: Forward Difference Method介紹 157錄B: Pasternak Model假設各點的接觸壓力推導 162錄C:梁受軸向推力實例補充 16
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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