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中文摘要：
基于材料力学和断裂力学理论,采用应变能释放率的方法推导出斜裂纹轴在轴向力、弯矩和扭矩的共同作用下的刚度矩阵,在裂纹完全张开的静态情况下,讨论了裂纹倾角、裂纹深度和轴细长比等参数对转轴刚度的影响。研究表明,在裂纹完全张开的静态情况下,裂纹的切向和法向的刚度随着裂纹倾角的减小而增大;裂纹深度的增大使裂纹轴的刚度变化增大;在裂纹轴稳态旋转的周期内,裂纹轴的刚度不是随着裂纹深度增加而一直减小的,而是具有一定的呼吸特性,上下波动,且很容易引起耦合振动,从而使转轴的动力特性更加复杂。
英文摘要：
Based on material mechanics and fracture mechanics theory, the stiffness matrix of a shaft with slant transverse crack under the common action of axial force, moment and torque was derived by strain energy release rate method. The relationships between the stiffness and some parameters such as the crack inclination, the crack depth and the slenderness ratio are discussed in a static situation fully open crack. The studies have shown that, the stiffness of crack centerline and tangent crack was increased with the decrease of crack inclination when the crack is fully open in the static case. The change of crack shaft stiffness was increased with the decrease of crack depth. The stiffness of shaft has not been reduced, but has some breathing characteristics of fluctuations with increasing crack depth in the steady state crack axis of rotation cycle. Moreover, the coupled vibration was easily caused so that dynamic characteristic of shaft is more complex.
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