In-plane Forced Vibrations of Curved Beams with Transverse Shear Deformation and Rotary Inertia Effects

本文旨在探討應用微分轉換法求解具剪力變形及轉動慣量效應曲樑同平面強迫振動問題。首先對曲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，即可求得曲樑之強迫振動解。為印証本文所提方法之正確性，吾人以邊界條件為兩端固定，簡支之曲樑為例求解強迫振動解，並在各自然頻率處觀察到共振現象。

關鍵字

微分轉換法；反微分轉換；自然頻率；強迫振動解

並列摘要

This study investigates in-plane forced vibrations ofcurved beams with transverse shear deformation androtary inertia effects using differential transforms method.First, taking differential transform of the governingequations and boundary conditions, a set of differenceequations is derived. Second, solving recursivelyalgebraic equations and taking inverse differentialtransform, we can determine dynamic response ofcurved beams. Finally, curved beams with fixed andhinged boundary conditions are given to illustrate theaccuracy and efficiency of the present method.

並列關鍵字

Differential transform ； Inverse differential transform ； In-plane forced vibration ； Natural frequency

國際替代計量

In-plane Forced Vibrations of Curved Beams with Transverse Shear Deformation and Rotary Inertia Effects

全文下載

主題瀏覽