开闭裂纹转轴刚度的解析研究

王宗勇;林伟;闻邦椿

振动与冲击 ›› 2010, Vol. 29 ›› Issue (9) : 69-72.

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振动与冲击 ›› 2010, Vol. 29 ›› Issue (9) : 69-72.
论文

开闭裂纹转轴刚度的解析研究

  • 王宗勇1;林伟1;闻邦椿2
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Analysis on the Stiffness of the Rotor System with a Switching Crack

  • Wang zongyong1;Lin wei1;Wen bangchun2
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摘要


摘  要: 根据材料力学的中性轴理论,解析求解了开闭扩展裂纹转轴刚度,得到了裂纹扩展方向、裂纹垂直方向及耦合方向刚度的解析表达式,进而得到了固定坐标系下的对应刚度,并与传统的余弦刚度模型和高-朱刚度模型进行了对比分析。结论表明:裂纹扩展方向刚度呈现曲边梯形形状,裂纹扩展垂直方向刚度呈现为对称的阶梯形状,而耦合刚度表现为正弦曲线形状;固定坐标系下三个方向的刚度均表现为复杂的波动曲线,且在一个周期内水平刚度和纵向刚度以二分之一周期为分界存在一定的对称性,而偶和刚度存在一定的反对称性等。





Abstract

Abstract: Based on the neutral axis theory of material mechanics, the shaft stiffness with a switching crack has been solved analytically. It has obtained the analytic expression of the stiffness in the direction of crack growth, its vertical direction and their coupling direction, while the corresponding stiffness in the fixed coordinate system is achieved. At the same time, the stiffness model of this paper is contrasted with cosine model and Zhu-Gao model. The conclusion indicates that: the stiffness curve in crack growth direction is a trapezoidal shape; the stiffness curve in its vertical direction is a symmetrical ladder shape; the stiffness curve in coupling direction is a sinusoid shape. In the fixed coordinate system the stiffness in three directions appears as complicated oscillating curves, the horizontal stiffness and vertical stiffness has some certain symmetry in one period, while the coupling stiffness has some certain inversion symmetry, and etc.

关键词

关 键 词:转子 / 开闭裂纹 / 刚度 / 慢变 / 扩展

Key words

rotors system / switching crack / stiffness / slow-varying / crack propagation

引用本文

导出引用
王宗勇;林伟;闻邦椿. 开闭裂纹转轴刚度的解析研究[J]. 振动与冲击, 2010, 29(9): 69-72
Wang zongyong;Lin wei;Wen bangchun. Analysis on the Stiffness of the Rotor System with a Switching Crack[J]. Journal of Vibration and Shock, 2010, 29(9): 69-72

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