Hermitian plane wavelet finite element method: Wave propagation and load identification

The two-dimensional Hermitian interpolation wavelet is constructed by using the tensor product of the modified Hermitian wavelets expanded at each coordinate. Then the two-dimensional Hermitian interpolation wavelet is substituted into finite element formulations to address the wave propagation and load identification problems. Hermitian wavelet finite element can be used to describe the wave propagation and to reveal the rule of the wave propagation in plane. The wave propagation response is used to solve the load identification inverse problem. Results show that the identified load value is similar to the applied load when the location of the response node is close to the applied load position. The proposed method can accurately identify the location, waveform and amplitude of the applied load.