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首页> 外文期刊>Iranian Journal of Science and Technology, Transactions of Mechanical Engineering >Internal Resonance of Axially Moving Beams with Masses
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Internal Resonance of Axially Moving Beams with Masses

机译：轴向运动梁的内部共振

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Transverse vibrations of axially moving beams with multiple concentrated masses have been investigated. It is assumed that the beam is of Euler-Bernoulli type, and both ends have simply supports. Concentrated masses are equally distributed on the beam. This system is formulated mathematically and then sought to find out approximate solutions. In case of three-to-one internal resonance, analytical solutions are derived by means of method of multiple scales (a perturbation method). It is assumed that axial velocity of the beam is harmonically varying around a mean-constant velocity. Steady-state vibration characteristics are investigated from the amplitude-phase modulation equations. Then, the effects of both magnitude and number of the concentrated masses on nonlinear vibrations are investigated numerically in detail.
机译：研究了具有多个集中质量的轴向移动梁的横向振动。假定梁是Euler-Bernoulli型的，并且两端都有简单的支撑。集中的质量均匀地分布在梁上。该系统是数学公式化的，然后试图找出近似解。在三对一内部共振的情况下，解析解是通过多尺度方法（一种微扰方法）得出的。假设光束的轴向速度围绕平均恒定速度谐波变化。从振幅相位调制方程研究稳态振动特性。然后，数值研究了集中质量的大小和数量对非线性振动的影响。

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