...: one dimensional pipeline modeling with real domain solution and finite difference methods, Helmholtz theory based acoustic model, where complex Fourier transform is used, or finally full computational fluid dynamics (CFD) multidimensional approach. All of them have limited capabilities. With one...

...Stefano Gonella; Massimo Ruzzene Much attention has been recently devoted to the application of homogenization methods for the prediction of the dynamic behavior of periodic domains. One of the most popular techniques employs the Fourier transform in space in conjunction with Taylor series...

... measured on bearings by discrete wavelet transform and subsequently performs the Fourier transform on the wavelet coefficients. The effectiveness of such a unified technique is demonstrated through experimental case studies, which confirmed its advantage over the wavelet or Fourier transform techniques...

... plate. Shear lag transfer of tractions and strains is assumed, and an analytical solution using the spacewise Fourier transform is reviewed, closed-form solutions are presented for the case of ideal bonding (i.e., load transfer mechanism localized at the PWAS boundary). The analytical solutions are used...

... for the solid skeleton and the pore fluid. Based on Biot’s theory and applying the Fourier transformation on time variable, a set of frequency domain governing equations for the potentials are obtained. Performing the Fourier transformation on the axial coordinate, closed-form general solutions...

... state feedback acoustic resonance optimisation iterative methods least squares approximations Fourier transforms acoustic signal processing During the previous decade there has been a substantial and consistent focus on the problem of active noise cancellation (ANC) in acoustic enclosures...

... in a mathematical form. Instead of considering the dynamics of a single substructure alone, an essentially different technique named as wavenumber-harmonic method for the analysis of periodic structures is presented. The method involves the use of Fourier transform, then the associated wavenumber response...