On the use of pseudo-forces to consider initial conditions in 3D time- and frequency-domain acoustic analysis.

• Main Author: Martins, Cláudio José
• Publication Date: 2006
• Other Authors: Carrer, José Antonio Marques, Mansur, Webe João, Araújo, Francisco Célio de
• Format: Article
• Language: eng
• Source: Repositório Institucional da UFOP
• Download full: http://www.repositorio.ufop.br/handle/123456789/2054
• topic: 3D wave equation; Initial conditions; Frequency and time domain analyses; Finite element method

This work is mainly concerned with a general strategy, based on well known concepts of classical mechanics, for taking into account initial conditions in frequency-domain (FD) and time-domain (TD) analyses. A general approach, extended here to three-dimensional applications, is presented. Special problems associated with analyses through Discrete-Fourier-Transform (DFT) algorithms, as those occurring in consequence of a non-correct choice of extended period or those connected with aliasing phenomenon, are also discussed. Furthermore, an alternative starting procedure for time-marching schemes (in TD analyses) is proposed. At the end of the paper, to validate the proposed techniques and to demonstrate their generality, two- and three-dimensional problems with non-homogeneous initial conditions are solved through frequency- and time-domain approaches by employing the Finite Element Method (FEM). Numerical results are compared with existing analytical solutions.