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    GA-BPNN方法预测多因素影响的TA2工业纯钛疲劳裂纹扩展速率

    Fatigue Crack Growth Rate Prediction of TA2 Commercial Pure Titanium by GA-BPNN Method Considering Multiple Factors

    • 摘要: 对TA2工业纯钛开展不同载荷比(0.1~0.8)、载荷幅(1 441~1 882 N)和应力强度因子幅(7.3~50.2 MPa·m0.5)下的疲劳裂纹扩展试验;基于试验数据,采用基于遗传算法优化的反向传播神经网络(GA-BPNN)方法建立疲劳裂纹扩展速率模型,分析了应力强度因子幅单特征变量、载荷比和应力强度因子幅双特征变量以及载荷比、载荷幅,应力强度因子幅三特征变量下GA-BPNN模型对裂纹扩展速率的预测精度,并与BPNN模型和传统Forman方程预测结果进行对比。结果表明:疲劳裂纹扩展前期的扩展速率与应力强度因子幅呈线性特征,扩展后期则呈非线性特征;高载荷幅下的疲劳裂纹线性扩展阶段更短,裂纹扩展速率更低;随着载荷比的增加,高低载荷幅下的疲劳裂纹扩展速率差异变大。随着特征变量数量的增加,GA-BPNN模型对疲劳裂纹扩展速率的预测精度降低。GA-BPNN模型的预测精度高于BPNN模型和传统Forman公式,随着特征变量数量的增加,GA-BPNN模型的预测优势更加显著,且对0.1和0.5低载荷比下的预测效果更好。随着载荷比的增加,GA-BPNN模型的预测误差增大,在相同载荷比下,载荷幅高时预测误差更小。

       

      Abstract: Fatigue crack growth tests were conducted on TA2 commercial pure titanium under different load ratios (0.1–0.8), load amplitudes (1 441–1 882 N) and stress intensity factor amplitudes (7.3–50.2 MPa·m0.5). With the test data, a fatigue crack propagation rate model was established by the backpropagation neural network optimized by genetic algorithm (GA-BPNN) method. The prediction accuracy and error of the GA-BPNN model under single feature variable of stress intensity factor amplitude, double feature variables of load ratio and stress intensity factor amplitude, three feature variables of load ratio, stress intensity factor amplitude and load amplitude were analyzed and compared with results of the BPNN model and the traditional Forman equation. The results show that the fatigue crack growth rate in the early growth stage showed a linear characteristic with the stress intensity factor amplitude, while it showed a nonlinear characteristic in the later stage of crack growth. Under high load amplitudes, the linear growth stage of fatigue cracks was short and the fatigue crack growth rate was low. With increasing load ratio, the difference in fatigue crack growth rates under high and low load amplitudes became larger. With the increase of the number of feature variables, the prediction accuracy of the GA-BPNN model for the fatigue crack growth rate decreased. The prediction accuracy of the GA-BPNN model was higher than those of the BPNN model and the traditional Forman formula. With the increase of the number of feature variables, the prediction advantage of the GA-BPNN model became more significant, and its prediction effect was better under low load ratios of 0.1 and 0.5. With the increase of the load ratio, the prediction error of the GA-BPNN model increased. Under the same load ratio, the prediction error under the higher load amplitude was smaller.

       

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