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題 名 | 雙截面非均勻旋轉樑的自然振動頻率分析=The Natural Frequency Analysis of Spinning Timoshenko Beam with Nonhomogeneity and Varying Cross-section |
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作 者 | 陳毅聰; 李仁傑; | 書刊名 | 中華民國音響學刊 |
卷 期 | 5:1 1998.06[民87.06] |
頁 次 | 頁59-72 |
分類號 | 334.22 |
關鍵詞 | 步級縮減法; 自然頻率; 旋轉樑; 雙截面; Step-reduction method; Natural frequency; Spinning Timoshenko beam; Varying cross-section; |
語 文 | 中文(Chinese) |
中文摘要 | 本文利用步級縮減法(step reduction method)來分析非均勻變截面旋轉 Timoshenko 樑的自然振動頻率。此法將樑細分為等長的數小段,每段可近似為均勻等截面 直樑,其自然振動頻率方程式能用一般的分析方法推導出。利用各小段樑端點連續與平衡條 件,整個非均勻變截面旋轉樑的自然振動頻率方程式可表示為樑起始端某些變數的函數。文 中由數值計算結果顯示步級縮減法所推導出的旋轉非均勻變截面Timoshenko 樑的自然振動 頻率方程式為正確,數值結果也顯示自然振動頻率隨轉速及截面縮減變化率的變動特性。 |
英文摘要 | In this paper, the step-reduction method is used to investigate the natural frequency of spinning Timsohenko beame with non-homogeneity and varying cross-section. This method requires to approximate the nonhomogeneous beam with variable cross-section by a number of homogenous stepped elements with constant cross-section, which can be solved analytically. Then, the frequency equation of the whole beam in terms of initial parameters can be obtained by satisfying the continuity and equilibrium conditions at the adjacent elements. The numerical results show the accuracy of natural frequency of spinning Timoshenko beam with nonhomogeneity and varying cross-section by using step-reduction method. |
本系統中英文摘要資訊取自各篇刊載內容。