含横向裂纹简单转子刚度的计算

Calculating Stiffness of a Simple Rotor with a Transverse Crack

以两端简支的 Ｊｅｆｆｃｏｔ 转子为对象，运用断裂力学和材料力学理论推导出含横向弓形裂纹的转子刚度计算公式，并在此基础上研究裂纹位置、裂纹深度和轴细长比 Ｒ／ Ｌ等参数对转子刚度的影响。计算结果表明，裂纹位置距转子中心越近、裂纹深度越深，转子的刚度就越小；转轴细长比越大，裂纹对转子刚度的影响就越大；当裂纹较浅时，可忽略平行于裂纹方向的刚度变化，而当裂纹较深时，应同时考虑与裂纹平行和垂直方向上的刚度变化。

In this paper, a simply supported Jeffcot with a transverse crack is considered. Equations for the stiffness calculating are firstly derived from the theories of fracture mechanics and material mechanics, then the relationships between the stiffness and some parameters such as the crack location, the crack depth and the slenderness ratio are invextigated. It is concluded that the stiffness of the shaft is weaker when the crack location is nearer the center of the shaft or the crack is deeper, and that the stiffness of the shaft is more sensitive when the slenderness ratio increased. The stiffness change being parallel to the crack edge can be neglected if the crack is shallow, but the stiffness changes being both normal and parallel to the crack edge are considered simultaneously if the crack is deep..