A matrix formulation for dynamic analysis of sdof and mdof systems in the frequency domain

• Walnório Graça Ferreira ^[1] ; Marcelo Vieira Ribeiro ^[2] ; Webe João Mansur ^[3]
  1. [1] Universidade Federal do Espírito Santo

     Universidade Federal do Espírito Santo

     Brasil

     
  2. [2] Universidade Federal de Ouro Preto

     Universidade Federal de Ouro Preto

     Brasil

     
  3. [3] Department of Civil Engineering COPPE/Federal University of Rio de Janeiro Rio de Janeiro, Brazil

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• Localización: Métodos Numéricos en Ingeniería: [Comunicaciones presentadas al IV Congreso de Métodos Numéricos en Ingeniería celebrado en Sevilla durante los días 7-10 de Junio de 1999] / R. Abascal (ed. lit.), José Domínguez Abascal (ed. lit.) , G. Bugeda (ed. lit.), 1999, ISBN 84-89925-45-3
• Idioma: español
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• Resumen

  • In this work the implicit Fourier transform (ImFT) is used to carry out dynamic analysis of structural systems in the frequency domain. In this method direct and inverse discrete Fourier transform algorithms are solved implicitly through one matrix operation. In the first example studied here it is carried out a comparison between the standard fast Fourier transform (FFT) and the ImFT algorithms, for a one-degree-of-freedom system. The second example studied here has three DOF, thus the analysis is carried out using modal coordinates. This three DOF structural system has non-proportional damping, thus the pseudo-force method is used together with the ImFT algorithm to find numerical solutions.