论文标题
四元基因神经网络在基于时间逆转的非线性弹性波光谱中的应用
Application of Quaternion Neural Network to Time Reversal Based Nonlinear Elastic Wave Spectroscopy
论文作者
论文摘要
使用基于时间逆转的非线性弹性波光谱（TR-NEWS）来识别材料中裂纹位置或异常情况。我们提出了一个使用换能器的系统，该系统会发出向前传播的孤子波和延时的传播孤子波，该孔由放置在矩形的侧面并被材料中的裂缝散布并由接收器接收到的接收器所产生的孤子波，并被放置在矩形的另一侧。 通过最小化散射的正向传播波和散射的TR波的差异，我们通过使用神经网络技术获取裂纹位置的信息。孤子的途径由2维射击四维季节函数表示，并且预计从信号获得最佳路由的参数将减少。 我们认为波浪是由共形的孤子表达的，并使用Atiyah-Patodi-Singer的指数定理讨论对称性保护的拓扑杂质和重力效应。
Identification of crack positions or anomalies in materials using the time reversal based nonlinear elastic wave spectroscopy (TR-NEWS) is an established method. We propose a system using transducers which emit forward propagating solitonic wave and time-reversed propagating solitonic wave produced by memristers placed on a side of a rectangle and scattered by cracks in the material and received by receivers which are placed on the opposite side of the rectangle. By minimizing the difference of the scattered forward propagating wave and the scattered TR wave, we get information of the position of the crack by using the neural network technique. Route of the solitons are expressed by 2 dimensional projective quaternion functions, and parameters for getting the optimal route from signals are expected to be reduced. We consider the wave is expressed by a soliton which is conformal, and discuss symmetry protected topological impurities and gravitational effects using the Atiyah-Patodi-Singer's index theorem.
