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首页> 外文期刊>Mechanical systems and signal processing >An improved variant of Hencky bar-chain model for buckling and bending vibration of beams with end masses and springs
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An improved variant of Hencky bar-chain model for buckling and bending vibration of beams with end masses and springs

机译：Hencky条形链模型的改进版本，用于带有端部质量和弹簧的梁的屈曲和弯曲振动

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摘要

This paper presents a new lumped parameter method for buckling and bending vibration analysis of a uniform beam subject to an axial compressive load with attached springs and lumped masses at the beam ends. The method represents modification of the classical Hencky bar-chain model. Three types of beams are considered: Euller-Bernoulli, Rayleigh, and Timoshenko beams. The method proposed consists in replacing the elastic beam by a system consisting of massless rigid beams carrying lumped masses. The mass-less beams are connected through frictionless two-degrees of freedom joints with appropriate lateral and rotational springs in them. The validity and accuracy of the method are proven through the comparison with the classical Hencky bar-chain model, methods which using rigid finite segments as well as the analytical methods for vibration analysis. Also, the influence of the springs and masses at the beam ends on the natural frequencies and mode shapes of the beam is examined.
机译：本文提出了一种新的集总参数方法，用于对承受轴向压缩载荷的均匀梁的屈曲和弯曲振动进行分析，并在梁端附加了弹簧和集总质量。该方法表示对经典Hencky条形链模型的修改。考虑了三种类型的光束：Euller-Bernoulli，Rayleigh和Timoshenko光束。所提出的方法在于用由承载集总质量的无质量刚性梁组成的系统代替弹性梁。无质量梁通过无摩擦的两个自由度接头连接，其中有适当的侧向和旋转弹簧。通过与经典的Hencky条形链模型，使用刚性有限段的方法以及振动分析的分析方法进行比较，证明了该方法的有效性和准确性。同样，检查梁端的弹簧和质量对梁的固有频率和振型的影响。

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