Abstract
This study develops a frequency-domain method for modelling general transient linear-elastic dynamic problems using the semi-analytical scaled
boundary finite element method (SBFEM). This approach first uses the newly-developed analytical Frobenius solution to the governing equilibrium equation system in the frequency domain to calculate complex frequencyresponse functions (CFRFs). This is followed by a fast Fourier transform (FFT) of the transient load and a subsequent inverse FFT of the CFRFs to obtain time
histories of structural responses. A set of wave propagation and structural dynamics problems, subjected to various load forms such as Heaviside step load, triangular blast load and ramped wind load, are modelled using the new approach. Due to the semi-analytical nature of the SBFEM, each problem is successfully modelled using a very small number of degrees of freedom. The numerical results agree very well with the analytical solutions and the results from detailed finite element analyses.
boundary finite element method (SBFEM). This approach first uses the newly-developed analytical Frobenius solution to the governing equilibrium equation system in the frequency domain to calculate complex frequencyresponse functions (CFRFs). This is followed by a fast Fourier transform (FFT) of the transient load and a subsequent inverse FFT of the CFRFs to obtain time
histories of structural responses. A set of wave propagation and structural dynamics problems, subjected to various load forms such as Heaviside step load, triangular blast load and ramped wind load, are modelled using the new approach. Due to the semi-analytical nature of the SBFEM, each problem is successfully modelled using a very small number of degrees of freedom. The numerical results agree very well with the analytical solutions and the results from detailed finite element analyses.
| Original language | English |
|---|---|
| Pages (from-to) | 725-738 |
| Number of pages | 14 |
| Journal | Computational Mechanics |
| Volume | 40 |
| Issue number | 4 |
| Early online date | 14 Nov 2006 |
| DOIs | |
| Publication status | Published - Sept 2007 |
| Externally published | Yes |
Keywords
- Transient dynamic analysis
- Scaled boundary finite element method
- Frobenius solution procedure
- Frequency domain
- Fast Fourier transform
- Wave propagation