具局部損傷預扭提摩新格樑的彎曲振動分析

Bending Vibration Analysis of Twisted Timoshenko beams with Localized damage

陳為仁(Wei-Ren Chen) ； 蔡睿陞(Rui-Sheng Cai) ； 馬宗承(Zong-Cheng Ma)

《中華民國振動與噪音工程學會論文集》 2014 (2014/06) Pp. 1-8

摘要

本文使用提摩新格樑理論及漢彌爾敦原理，以建立具局部損傷預扭樑的撓曲振動方程式。該預扭樑的運動方程式將在扭轉座標系下被推導，並使用有限元素法將其離散成線性二階常微分方程式，以進行自由振動分析。特徵值方程式將被形成以探討樑之扭角、損傷位置及邊界條件對該系統的自然頻率的影響效應。咸信本文的分析模型可提供研究者有效地評析具局部損傷的樑結構之各種參數對其振動表現的影響。

關鍵字

局部損傷 ； 預扭樑 ； 自然頻率

並列摘要

The bending vibration of a twisted beam with localized damage is studied based on the Timoshenko beam theory and Hamilton's principle. The equations of motion of the twisted beam are derived in the twist coordinate frame. The partial differential equations of motion are then discretized into a set of second-order ordinary differential equations by using a finite element method. An eigenvalue problem is solved to determine the natural frequency of the Timoshenko beam of concern. The effects of the twist angle, the damage location and boundary conditions on the free vibration behavior of the beam are discussed.

並列關鍵字

twisted beam ； localized damage ； natural frequency