物理-监测信息融合的振动传递路径分析方法

Physics-informed and monitoring data integrated vibration transfer path analysis method

  • 摘要: 针对传统振动传递路径分析(Transfer Path Analysis,TPA)方法需在固定位置布设传感器,实际工程中常因物理空间限制或环境因素导致关键测点无法测量,对分析结果造成严重影响。论文提出一种物理-监测信息融合的振动传递路径分析方法。首先,将弹性力学方程嵌入神经网络构建物理信息神经网络(Physics-Informed Neural Networks, PINN)模型,结合部分表面测点的加速度信息,建立了动力学微分方程约束下的振动响应预测框架;其次,基于三维悬臂梁数值模拟实验,对比分析提出的方法与传统TPA方法在传递路径辨识中性能,实验表明:提出方法峰值频率平均相对误差降至0.15%,幅值平均绝对误差降至5.26 dB,能有效替代传统TPA方法;最后,基于功率流流场分析揭示了激励源近场能量流线缠绕现象,识别出主导传递路径以及自由端涡旋耗散特征,有效克服关键节点无法测量带来的影响,同时为复杂机械系统多源振动能量传递规律分析提供了新的方法。

     

    Abstract: Traditional Transfer Path Analysis (TPA) methods require fixed sensor placement to capture vibration characteristics, while physical space constraints or harsh environmental conditions in practical engineering often prevent measurements at critical nodes, significantly compromising analytical accuracy. To address this limitation, this study proposes a physics-monitoring integrated vibration transfer path analysis method. Firstly, a Physics-Informed Neural Network (PINN) model is constructed by embedding elastodynamic equations into neural networks, and a vibration response prediction framework is developed under the constraints of governing differential equations, combining partial surface acceleration measurements. Secondly, a numerical simulation of a three-dimensional cantilever beam system is conducted to evaluate the proposed method's path identification performance with conventional TPA, and experimental results show that the proposed method obtains a peak frequency relative error of 0.15% and absolute amplitude error of 6.19 dB, outperforming traditional TPA and serving as a viable substitute. Thirdly, near-field energy streamline entanglement near excitation sources can be revealed by power flow field analysis, dominant transfer paths can be identified, and vortex-induced energy dissipation at free boundaries can be characterized. Finally, this study not only effectively resolves measurement limitations at critical nodes, but also provides a novel methodology for analyzing multi-source vibration energy transmission mechanisms in complex mechanical systems.

     

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