In this article, based on our understanding of sinusoidal acoustic wave loads identification on the beam foundation acoustic sensor, we extend a new approach to identify arbitrary waves of different amplitudes and waveforms. Since in our new cases study, due to the complexity of moving arbitrary wave loads, the conventional Tikhonov combined with the L -curve method is not an effective way to find the suitable regularization parameter used for wave inverse solutions, we use the Arnoldi-Tikhonov regularization method coupled with the generalized cross validation for seeking regularization parameters; this method proved to be better to find the regularization parameter than the L-curve method. In addition, we study displacement response sensitivities of sensor design parameters, such as geometries of the sensor to optimize the design of the sensor. Meanwhile, we also design a sandwich composite beam sensor to replace the structure with traditional materials, and wave reconstruction results are surprisingly good, even in background noise interference level as high as 20%. Therefore, the performance of the new sensor model is enhanced.