超声疲劳扭转试样谐振长度的解析法计算
Analytical Solution of the Resonance Length for Ultrasonic Torsional Fatigue Samples
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摘要: 介绍了一种超声疲劳扭转试样谐振长度解析计算方法,并给出了扭转谐振状态下试样表面的角位移和 应力应变分布函数。对变截面试样应力放大系数的分析表明,当最小截面半径与最大截面半径的比为0.5 时,有最大的应力放大率。解析计算定义的试样几何形态可用便于加工的圆形近似,引起的频率和应力值误差 可忽略。Abstract: A method for analytical calculation of the resonance length for ultrasonic torsional fatigue samples is recommended. The angular displacement amplitude and torsional stress/strain amplitude on the surface of samples are derived. Analysis for the stress magnification factor of sample with various cross-sections shows that when the ratio of the minimum section radius to the maximum section radius is 0.5, there is the maximum stress magnification. The sample profile defined by the analytical solution may be approximated by a circular profile, with the error in the frequency and stress being neglectable.
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Key words:
- torsional fatigue /
- torsion stress /
- ultrasonic waves /
- resonance
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