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| A note on the pseudo-excitation method |
| Received:December 15, 2010 Revised:January 17, 2011 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201102001 |
| KeyWord:stochastic harmonic functions power spectral density pseudo excitation method stationary response |
| Author | Institution |
| 陈建兵 |
同济大学 土木工程防灾国家重点实验室, 上海 |
| 彭勇波 |
同济大学 上海防灾救灾研究所, 上海 |
| 李杰 |
同济大学 土木工程防灾国家重点实验室, 上海 |
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| Abstract: |
| A stochastic harmonic function of random frequency and phase is introduced in the present paper. The power spectral density of a stochastic process represented by the stochastic harmonic function is proved to be exactly the target power spectral density if the random frequency and phase of the harmonic function both follow uniform distributions, while its amplitude is proportion to the square root of target power spectral density. It is thus noted that the power spectral density of structural response can be obtained by figuring out the square of the amplitude of steady-state response of the structure excited by harmonic processes traversing the values of frequency domain of interest. This interpreted the physical meaning of the pseudo-excitation method. Numerical investigations, meanwhile, reveal that actually only half of the computational efforts in the pseudo-excitation method are adequate. |