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首页> 外文期刊>International journal of terraspace science and engineering >Torsional Dynamics of Cracked Rotors and Fracture Mechanics
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Torsional Dynamics of Cracked Rotors and Fracture Mechanics

机译：裂纹转子的扭转动力学和断裂力学

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摘要

The design and construction of rotating machinery operating at supercritical speeds was, in the 1920s, an event of revolutionary importance for the then new branch of dynamics known as rotor dynamics. In the 1960s, another revolution occurred: In less than a decade, imposed by operational and economic needs, an increase in the power of turbomachinery by one order of magnitude took place. This was achieved by means of advanced design methods, aided by fast digital computers and optimisation techniques. The investigation of cracked rotors behaviour in torsional vibration and the development of crack detection methods for rotating shafts were initiated at about 1970. Since the early 1980s, there has been a substantial body of academic research on the monitoring and early warning of cracked rotors. The derivation of the equations of motion for a uniform rod in torsional vibration under the existence of flaws is investigated here. The torsional vibration of a circumferentially cracked cylindrical shaft is studied through a direct analysis relating the crack location and magnitude to the dynamic properties of the system, an "exact" analytical solution of a continuous cracked rod torsional vibration theory with application of the variational theorem, and an approximate energy related solution incorporating the Rayleigh quotient. The crack is modelled as a continuous flexibility based on fracture mechanics principles.
机译：在1920年代，以超临界速度运行的旋转机械的设计和制造对于当时称为转子动力学的新的动力学分支来说具有革命性的意义。在1960年代，发生了另一场革命：在不到十年的时间里，由于运营和经济需求的影响，涡轮机械的功率增加了一个数量级。这是通过先进的设计方法，借助快速的数字计算机和优化技术来实现的。裂纹转子在扭转振动中的行为研究以及旋转轴裂纹检测方法的发展始于1970年左右。自1980年代初期以来，对于裂纹转子的监视和预警进行了大量的学术研究。在此，研究了存在缺陷的情况下均匀杆在扭转振动中的运动方程。通过将裂纹的位置和大小与系统的动态特性相关联的直接分析，研究了圆周裂纹圆柱轴的扭转振动，这是连续裂纹杆扭转振动理论的变分定理的“精确”解析解，以及包含瑞利商的近似能量相关解决方案。根据断裂力学原理，将裂纹建模为连续的柔性。

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