Abstract

The two basic functions of power function and exponential function are used, and the variable weight combination model based on the Lagrange multiplier of the two basic functions is used to predict the surface vibration attenuation. Based on the measured data of the ground surface vibration of viaducts and embankments, a prediction model can be established through a combination model. A better fitting effect can be acquired through this prediction model. The model can obtain better prediction with fewer parameters and can comprehensively reflect the different model information of the two models. Although the amount of data is limited, it can also be obtained. The predictions that are in good agreement with the actual situation are better, the vibration attenuation in the near field is faster, and the vibration attenuation in the far field is slow, which are consistent with the actual situation.

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