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Numerical Methods for Transverse Vibration Analysis of Straight Euler and Timoshenko Beams

机译:直欧拉和Timoshenko梁横向振动分析的数值方法

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This paper presents a short review of numerical methods used for lateral vibration analysis in the case of straight Euler and Timoshenko beams. A particular integral method is described with more details. This approximate integral method is based on the use of flexibility influence functions (Green’s functions). It leads to a matrix formulation and to an eigenvalue problem for vibration analysis. The presented approach is able to estimate separately the shear effects and the rotary inertia effects and also the combined effects. Simple numerical examples are also presented for comparisons with analytical and finite elements results. The results show good agreement.
机译:本文介绍了在直欧拉和Timoshenko梁的情况下用于横向振动分析的数值方法的简要述评。 用更多细节描述特定的积分方法。 这种近似积分法基于灵活性影响功能(绿色函数)的使用。 它导致矩阵配方和振动分析的特征值问题。 所提出的方法能够分别估计剪切效果和旋转惯性效果以及组合效果。 还介绍了简单的数值例子,用于与分析和有限元结果进行比较。 结果表明良好的一致意见。

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