A semi-analytical approach to the study of the transient acoustic response of cylindrical shells
Keywords:Electric currents, Fourier analysis, Fourier series, Fourier transforms, Harmonic analysis, Mathematical transformations, Separation, Shells (structures), Underwater explosions, Acoustic responses, Analytical approaches, Computing, Cylindrical shells, Elastic structures, Fourier, Fourier modes, Frequency domains, Full elastic models, Interaction problems, Laplace variables, Matrix inversions, Numerical inversions, Semi-analytical methods, Series expansions, Weak shock waves
AbstractA semi-analytical method related to the effects of a weak shock wave on submerged evacuated cylindrical elastic structure is presented. The circular shell/acoustic medium interaction problem has already been tackled in the frequency domain with a full elastic model by Pathak and Stepanishen. The approach is based on the methods of Laplace transform in time, Fourier series expansions and separations of variables in space. The solution consists of simple matrix inversions for each point of the Laplace variable and Fourier mode, numerical inversions of the Laplace transforms and Fourier series summations. the method is shown by computing the shell response to a weak underwater explosion.
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