Applied Mathematics and Mechanics >
Machine learning-based design strategy for weak vibration pipes conveying fluid
Received date: 2024-10-17
Revised date: 2025-05-30
Online published: 2025-06-30
Supported by
Project supported by the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (No. 12421002), the National Science Funds for Distinguished Young Scholars of China (No. 12025204), the National Natural Science Foundation of China (No. 12372015), and China Scholarship Council (No. 202206890065)
Copyright
Multi-constrained pipes conveying fluid, such as aircraft hydraulic control pipes, are susceptible to resonance fatigue in harsh vibration environments, which may lead to system failure and even catastrophic accidents. In this study, a machine learning (ML)-assisted weak vibration design method under harsh environmental excitations is proposed. The dynamic model of a typical pipe is developed using the absolute nodal coordinate formulation (ANCF) to determine its vibrational characteristics. With the harsh vibration environments as the preserved frequency band (PFB), the safety design is defined by comparing the natural frequency with the PFB. By analyzing the safety design of pipes with different constraint parameters, the dataset of the absolute safety length and the absolute resonance length of the pipe is obtained. This dataset is then utilized to develop genetic programming (GP) algorithm-based ML models capable of producing explicit mathematical expressions of the pipe’s absolute safety length and absolute resonance length with the location, stiffness, and total number of retaining clips as design variables. The proposed ML models effectively bridge the dataset with the prediction results. Thus, the ML model is utilized to stagger the natural frequency, and the PFB is utilized to achieve the weak vibration design. The findings of the present study provide valuable insights into the practical application of weak vibration design.
Tianchang DENG , Hu DING , S. KITIPORNCHAI , Jie YANG . Machine learning-based design strategy for weak vibration pipes conveying fluid[J]. Applied Mathematics and Mechanics, 2025 , 46(7) : 1215 -1236 . DOI: 10.1007/s10483-025-3276-7
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