Simplified Fatigue Life Analysis of Pipeline under Super Multi-Support and Multi-Dimension Excitations Based on Pseudo Excitation Method
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摘要: 针对超多点随机振动边界条件下传统随机振动模块计算规模不适用，且传统疲劳寿命分析方法受建模工作量大制约而无法快速完成疲劳寿命分析的问题，本文基于虚拟激励法提出了一种针对管路系统的超多点多维激励的简化疲劳寿命分析方法。通过对比虚拟激励法和传统随机振动模块计算的结构动力学响应，验证虚拟激励法的适用性，并使用管路简化疲劳寿命分析方法和传统疲劳寿命分析方法分析直管结构和三通连接位置的疲劳寿命。结果表明，虚拟激励法计算的随机振动响应精度与传统随机振动模块一致，说明本文方法可突破传统随机振动模块对振动激励点数和频率点的限制；本文方法无需建立详细有限元模型，直管结构的应力及寿命分析结果与精细模型基本一致，三通连接位置的应力及寿命分析结果相比精细模型更加保守。本文研究可为复杂振动管路系统的快速疲劳寿命分析提供理论指导。Abstract: In view of the problem that the calculation scale of the traditional random vibration module is not applicable under the super multi-point random vibration boundary conditions, and the traditional fatigue life analysis method is restricted by the heavy modeling workload, it is unable to complete the fatigue life analysis quickly, based on the virtual excitation method, a simplified fatigue life analysis method for pipeline system with super multi-point and multi-dimension excitation is proposed in this paper. The applicability of the virtual excitation method is verified by comparing the structural dynamics response calculated by the virtual excitation method and the traditional random vibration module, and the fatigue life of straight pipe structure and tee connection position is analyzed by using pipeline simplified fatigue life analysis method and traditional fatigue life analysis method. The results show that the accuracy of random vibration response calculated by the virtual excitation method is consistent with that of the traditional random vibration module, which shows that the method proposed in this paper can break through the limitation of the traditional random vibration module on the number of vibration excitation points and frequency points; The method proposed in this paper does not need to establish a detailed finite element model, and the stress and life analysis results of the straight pipe structure are basically consistent with the fine model, and the stress and life analysis results of the tee connection position are more conservative than the fine model. The research in this paper can provide theoretical guidance for the rapid fatigue life analysis of complex vibrating pipeline systems.
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图 4 三通连接位置直管段实体单元模型
Figure 4. Entity Unit Model of Straight Pipe at Tee Connection Position
图 5 直管段应力幅值概率密度对比
Figure 5. Comparison of Probability Density of Stress Amplitude in Straight Pipe
图 7 三通连接位置焊缝应力幅值概率密度
Figure 7. Probability Density of Weld Stress Amplitude at Tee Connection Position
表 1 2种方法的振动响应弯矩对比
Table 1. Comparison of Vibration Response Bending Moments between Two Methods
方向 弯矩响应均方根/(N·mm) 相对误差/% 虚拟激励法 ANSYS X方向 7.55×107 7.64×107 1.20 Y方向 1.66×109 1.68×109 0.97 Z方向 6.40×108 6.47×108 1.06 
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表 2 加速度随机振动激励特征
Table 2. Excitation Characteristics of Acceleration Random Vibration
激励序号 功率谱密度幅值/
[(m·s−2)2·Hz−1]加速度响应均
方根/(m·s−2)1 11.20 100 2 16.00 120 3 51.84 216 4 64.00 240
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表 3 直管段应力幅值期望对比 MPa
Table 3. Comparison of Stress Amplitude Expectation of Straight Pipe
激励序号 本文方法 ANSYS S1方法 ANSYS Von Mises方法 1 28.8 10.5, 10.8, 15.9,
14.8, 8.2, 14.914.3, 14.3, 20.8,
20.2, 13.4, 23.02 40.7 14.8, 15.3, 22.5,
21.0, 11.6, 21.014.8, 15.3, 22.5,
21.0, 11.6, 21.03 73.8 26.7, 27.6, 40.5,
37.7, 20.9, 37.836.4, 36.5, 53.0,
51.5, 34.0, 58.54 85.6 29.7, 30.6, 45.0,
41.9, 23.2, 42.040.4, 40.5, 58.9,
57.2, 37.8, 65.0
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表 4 直管段应力幅值均方根对比 MPa
Table 4. Comparison of Stress Amplitude RMS of Straight Pipe
激励序号 本文方法 ANSYS S1方法 ANSYS Von Mises方法 1 17.5 10.6, 10.7, 14.2,
13.2, 9.0, 13.815.2, 14.8, 19.1,
18.4, 13.4, 20.92 24.8 15.0, 15.1, 20.0,
18.6, 12.7, 19.521.5, 20.9, 27.0,
26.0, 19.0, 29.63 45.4 26.9, 27.2, 36.0,
33.5, 22.9, 35.138.7, 37.6, 48.7,
46.7, 34.2, 53.24 54.5 29.9, 30.3, 40.0,
37.2, 25.5, 38.942.9, 41.7, 54.1,
51.9, 38.0, 59.1
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表 5 直管段疲劳寿命对比 h
Table 5. Comparison of Fatigue Life of Straight Pipe
激励序号 本文方法 ANSYS S1方法 ANSYS Von Mises方法 1 149.6 3.7×105, 3.0×105, 2.0×103,
5.3×103, 1.9×107, 4.1×1031090.9, 1550.1, 82.1,
113.4, 5663.8, 40.22 5.3 1.2×103, 1.1×103, 51.8,
95.4, 1.25×104, 80.937.7, 46.5, 6.6,
8.2, 103.4, 4.03 0.3 7.6, 7.1, 1.4,
1.9, 23.8, 1.81.3, 1.4, 0.4,
0.5, 2.1, 0.34 0.1 4.2, 3.9, 0.9,
1.2, 11.7, 1.10.8, 0.9, 0.3,
0.3, 1.3, 0.2
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表 6 三通连接位置计算结果对比
Table 6. Comparison of Calculation Results at Tee Connection Position
应力幅值期望/MPa 应力幅值均方根/MPa 疲劳寿命/h 本文方法 ANSYS S1方法 ANSYS Von
Mises方法本文方法 ANSYS S1方法 ANSYS Von
Mises方法本文方法 ANSYS S1方法 ANSYS Von
Mises方法86.6 30.6 36.0 56.9 29.7 36.8 0.1 5.3 1.7 20.6 25.3 21.1 27.2 40.3 8.1 15.9 21.2 18.3 21.8 156.3 32.4 27.4 30.1 25.7 28.6 9.1 4.9 31.2 32.2 29.2 31.1 4.2 3.1 20.5 19.7 21.5 21.9 33.3 29.0
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