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本文提出了一种新的描述转轴裂纹开闭状态的数学模型,此模型描述了裂纹开、闭及过渡状态的持续过程,它将开裂纹、方波和余弦模型统一于同一模型中,它的使用不受动、静挠度关系的限制.用这个模型算得的裂纹轴刚度变化曲线与实验结果吻合程度比余弦和方波模型好.文中还以Jeffcott裂纹转子为例,对各模型进行了理论探讨.结果表明:当研究非同步运动时,本文模型与方波和余弦模型所得的解差别较大,且轴心位移矢量的方向角在静平衡位置处的波动,影响到所得响应的特性.而对同步运动,这种差别及影响都很小.
In this paper, a new mathematic model describing the crack opening and closing state of the shaft is proposed. The model describes the continuous process of opening, closing and transition of crack. It unifies crack crack, square wave and cosine model in the same model. Using the relationship between unaffected and static deflection, the curve of the cracked shaft stiffness calculated by this model is in good agreement with the experimental results than that of the cosine and the square wave model.In the paper, a theoretical discussion is also made on the models using Jeffcott cracked rotor as an example The results show that when the unsynchronized movement is studied, the difference between the model and the square wave and the cosine model is large, and the direction angle of the axial displacement vector fluctuates at the static equilibrium position, which affects the characteristics of the response For synchronous exercise, this difference and impact are small.