空间脉冲响应和有限元混合的超声回波建模方法
A hybrid method for ultrasonic echo of defects using spatial impulse response and finite element method
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摘要: 针对数值仿真计算效率低的问题, 提出了空间脉冲响应法和有限元法相混合的建模方法, 只对缺陷周围的局部区域进行网格划分, 用有限元计算超声波与缺陷的相互作用, 用空间脉冲响应法计算超声波的向前传播和向后反射, 该方法既可以模拟超声波与复杂缺陷的相互作用, 保证了计算精度, 又极大提高了计算效率。分别利用混合方法和数值方法建立了平底孔回波模型, 得到了平底孔的反射回波, 两者波形吻合较好, 验证了模型的有效性。平底孔混合模型仿真用时是数值模型的5.9%, 计算效率提升明显。建立了惰轮轴轴肩根部不同深度裂纹的混合模型, 得到了反射回波, 轴肩回波和裂纹回波混叠在一起难以从时域上区分, 但随着裂纹深度的增加回波幅值也随之增大, 可根据回波幅值的变化情况对根部裂纹的深度进行定量评价。Abstract: The numerical simulation modelling is challenging due to the increased mesh requirements to resolve the large propagation distance. A hybrid modeling method for ultrasonic echo of defects using spatial impulse response and finite element method is proposed. The local area around defect is meshed and the interaction between the ultrasonic wave and the defect is calculated by the finite element method. The vibration velocities of the nodes on the boundary are calculated by spatial impulse response method, which is considered as excitation of the finite element model. The velocity potential of the reflected wave at the receive transducer is also obtained by spatial impulse response method. This method enables efficient prediction of the response of complex scatterers. A simulation example of flat bottom hole is established by the hybrid method and the finite element method respectively, and both the waveforms are consistent. The total time for running the hybrid method is 5.9% against the finite element method, and the runtime for the finite element simulation can be reduced significantly. The echoes of cracks with different depth at shoulder root of idler shaft are simulated by the hybrid method. Echoes reflected from the shoulder and crack are overlapped, meaning crack information is lost. The results show the echo amplitude increases with the crack depth, and the echo amplitude can be used to size the root crack. The hybrid method proposed in this paper lays a foundation for improving the computational efficiency of large-scale finite element models.