Bending-torsion Coupled Vibration Analysis of a Beam with Aerofoil Sections

本文旨在探討應用微分轉換法求解機翼斷面樑之彎曲及扭轉耦合振動問題。首先對機翼斷面樑之統御方程式及邊界條件取微分轉換，可求得一組遞歸型式代數方程式，其次求解該方程組並取反微分轉換，即可求得機翼斷面樑之自然頻率及彎曲與扭轉耦合振動模態。為印証本文所提方法之正確性，吾人以邊界條件為左端固定，右端自由之機翼斷面樑為例求取自由振動解,並將微分轉換法所求得的結果，與其他研究報告比較其結果相當一致。

關鍵字

微分轉換法；反微分轉換；自然頻率；彎曲與扭轉耦合振動模態強迫振動解

並列摘要

This study investigates bending-torsion coupled vibration analysis of a beam with airfoil sections using differential transforms method. First, taking differential transform of the governing equations and boundary conditions, a set of difference equations is derived. Second, solving recursively algebraic equations and taking inverse differential transform, we can determine natural frequencies and bending-torsion coupled vibration modes. Finally, a beam of airfoil sections with fixed and free boundary conditions are given to illustrate the accuracy and efficiency of the present method.

並列關鍵字

Differential transform ； Inverse differential transform ； Bending-torsion coupled vibration mode ； Natural frequency

國際替代計量

Bending-torsion Coupled Vibration Analysis of a Beam with Aerofoil Sections

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