Elastodynamic responses of an immersed composite laminate to a Gaussian beam pressure

Abstract

An analytical method is presented for analyzing elastodynamic responses of an immersed composite laminate subjected to a Gaussian beam pressure. Firstly, the Fourier transform technique and a modal analysis method are combined to obtain the surface displacements in the frequency domain. Complex path techniques are proposed for dealing with singularities of the responses associated with the inverse Fourier transformation. A quadrature scheme is adopted to reduce the sampling points in the inverse Fourier transformation. Then elastodynamic responses of the laminate in the time domain can be found by application of Fourier superposition. An exponential window method is employed to overcome singularities of integrands at ω = 0 and cut-off frequencies. The effects of the fluid on displacements in wave number, frequency and time domains are discussed. The presence of the fluid is found to have considerable impact on the responses of the composite laminate.