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  • 會議論文

受軸向力作用之具內部阻尼提摩新格樑的振動特性分析

Bending Vibration of Axially-loaded Timoshenko Beams with Internal Viscous Damping

摘要


本文使用提摩新格樑理論及漢彌爾敦原理,以建立受到一軸向力之具內部黏滯阻尼之樑的撓曲振動方程式。再使用有限元素法將其離散成以時間為自變數之線性二階常微分方程式,以進行振動分析。二次式特徵值方程式將被形成以探討樑之阻尼係數、軸向力及邊界條件對該系統的阻尼頻率的影響效應。咸信本文的分析模型可提供研究者有效地評析具內部黏滯阻尼的樑結構之各種參數對其振動特性的影響。

並列摘要


Utilizing the Timoshenko beam theory and applyingHamilton’s principle, the present study will establishbending vibration equations of an axially-loaded beamwith internal viscous damping. The finite element methodwill be used to discretize the equations of motion intolinear second-order ordinary differential equations withconstant coefficients. A quadratic eigenvalue problem willthen be formed to investigate the effects of the dampingcoefficient axial load and restraint condition on thedamped frequency of beams. It is believed that the presentmodel is valuable for the parametric studies to understandbetter the various variables of the beam with internalviscous damp.

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