含旋转运动效应裂纹梁横向振动特性的研究

发布时间：2018-05-07 03:04

本文选题：裂纹梁 + 旋转运动　；参考：《应用力学学报》2017年06期

【摘要】：针对开口裂纹作用下旋转运动欧拉-伯努力梁的振动特性进行了研究。文中使用裂纹梁连续等效刚度模型模拟裂纹效应,将含裂纹旋转运动梁视为弯曲刚度沿梁长度方向连续变化的梁,并应用传递矩阵法推导了求解其振动特性的特征方程。考虑不同裂纹深度和位置、不同旋转速度,分析了梁的一阶和二阶固有频率的变化情况。研究结果表明:旋转运动效应和裂纹效应并非独立影响梁的固有频率,两者间具有耦合作用效应;转速提升使由裂纹导致的频率衰减幅度变小,同时裂纹加深使得由速度升高带来的阶频提升更加显著;相比于二阶频率,耦合作用效应对于一阶频率更加显著。
[Abstract]:The vibration characteristics of a rotating Euler-Burr effort beam subjected to an open crack are studied. In this paper, the continuous equivalent stiffness model of cracked beam is used to simulate the crack effect, and the rotating motion beam with cracks is regarded as a beam whose bending stiffness changes continuously along the beam length. The characteristic equation for solving its vibration characteristics is derived by using the transfer matrix method. The variation of the first and second order natural frequencies of the beam is analyzed by considering the different crack depth and position and the different rotation speed. The results show that the rotational motion effect and the crack effect do not affect the natural frequency of the beam independently, but there is a coupling effect between them, and the frequency attenuation caused by the crack is reduced by the increase of the rotational speed. At the same time, the increase of the frequency of the first order caused by the increase of the velocity is more obvious than that of the second order frequency, and the coupling effect is more significant for the first order frequency than that of the second order frequency.
【作者单位】：重庆理工大学机械工程学院;西南交通大学力学与工程学院;
【基金】：国家自然科学基金项目(11372257) 重庆市基础与前沿研究计划项目(cstc2015jcyj A60010) 重庆市教委科学技术研究项目(KJ1500929)
【分类号】：O346.1

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