As an important rotating component, the flexible annular thin disk is widely used in mechanical engineering. Cracks may occur in some weak disk parts, which will greatly shorten the equipment service life and even cause equipment failure. Due to the centrosymmetric structure of the flexible annular disk, two typical cracks are studied in this paper; one is radial crack parallel to diameter, including radial closed crack (RC-crack) and radial opening crack (RO-crack); the other one is vertical crack perpendicular to diameter, including circumferential crack (CF-crack) and tangential crack (TG-crack). The effect of crack parameters, such as crack length, direction, and position, on disk vibration characteristics are studied through theoretical simulation and experimental verification. The research shows that the effect of cracks on vibration characteristic gets more obvious with cracks extending in most cases, RO-crack decreases the natural frequency obviously, and vertical cracks would affect mode shapes. In addition, the bigger the nodal diameter is, the more obvious the effect gets. Meanwhile, the most obvious effect appears in the mode of a nodal diameter locating on the crack. The research possesses some guiding significance in industrial production; by comparing with the vibration characteristics of the flawless disk, the integrity of the rotating flexible disk can be judged to prevent possible equipment damage.

中文翻译：

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旋转柔性裂纹环形薄盘振型和固有频率的研究

柔性环形薄盘作为重要的旋转部件，在机械工程中应用广泛。一些薄弱的磁盘部件可能会出现裂纹，这将大大缩短设备的使用寿命，甚至造成设备故障。由于柔性环形盘的中心对称结构，本文研究了两种典型的裂纹；一种是平行于直径的径向裂纹，包括径向闭合裂纹（RC-crack）和径向开口裂纹（RO-crack）；另一种是垂直于直径的垂直裂纹，包括周向裂纹（CF-crack）和切向裂纹（TG-crack）。通过理论模拟和实验验证，研究了裂纹长度、方向、位置等裂纹参数对圆盘振动特性的影响。研究表明，裂纹对振动特性的影响在大多数情况下随着裂纹的扩展而变得更加明显，RO裂纹显着降低了固有频率，垂直裂纹会影响振型。此外，节点直径越大，效果越明显。同时，最明显的影响出现在节点直径位于裂纹上的模式。该研究对工业生产具有一定的指导意义；通过对比无瑕盘的振动特性，可以判断旋转软盘的完整性，防止可能的设备损坏。效果越明显。同时，最明显的影响出现在节点直径位于裂纹上的模式。该研究对工业生产具有一定的指导意义；通过对比无瑕盘的振动特性，可以判断旋转软盘的完整性，防止可能的设备损坏。效果越明显。同时，最明显的影响出现在节点直径位于裂纹上的模式。该研究对工业生产具有一定的指导意义；通过对比无瑕盘的振动特性，可以判断旋转软盘的完整性，防止可能的设备损坏。