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首页> 外文期刊>Composite Structures >Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load
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Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load

机译：功能梯度梁在集中移动谐波载荷下的自由振动

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摘要

In this paper, free vibration characteristics and the dynamic behavior of a functionally graded simply-supported beam under a concentrated moving harmonic load are investigated. The system of equations of motion is derived by using Lagrange's equations under the assumptions of the Euler-Bernoulli beam theory. Trial functions denoting the transverse and the axial deflections of the beam are expressed in polynomial forms. The constraint conditions of supports are taken into account by using Lagrange multipliers. It is assumed that material properties of the beam vary continuously in the thickness direction according to the exponential law and the power-law form. In this study, the effects of the different material distribution, velocity of the moving harmonic load, the excitation frequency on the dynamic responses of the beam are discussed. Numerical results show that the above-mentioned effects play very important role on the dynamic deflections of the beam.
机译：在本文中，研究了在集中移动谐波载荷下功能梯度简单支撑梁的自由振动特性和动力学行为。在欧拉-伯努利梁理论的假设下，通过使用拉格朗日方程来导出运动方程组。表示梁的横向和轴向挠度的试验函数以多项式形式表示。使用拉格朗日乘数考虑了支撑的约束条件。假定梁的材料特性根据指数定律和幂律形式在厚度方向上连续变化。在这项研究中，讨论了不同材料分布，移动谐波载荷的速度，激励频率对梁动力响应的影响。数值结果表明，上述效应对梁的动态挠度起着非常重要的作用。

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